Answer:
The unit rate is 109
Step by step explanation:
To determine the unit rate, we need to divide 654 by 6:
\(\frac{654}{6}=109\)The unit rate is 109
Select the correct answer. Given the following formula, solve for y. w=x-y/2-z
After answering the presented question, we can conclude that expressions Therefore, the answer is: y = -2w + 2x + 2z
what is expression ?In mathematics, you can double, divide, add, or subtract something. The following is an expression: Expression, numerical value, and math operator A mathematical expression is made up of numbers, parameters, and functions. Opposing sentences and expressions are possible. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and a mathematical action between them. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical sign +.
To solve for y
\(w = x - y/2 - z\\2w = 2x - y - 2z\\2w - 2x - 2z = -y\\y = -2w + 2x + 2z\)
Therefore, the answer is:
y = -2w + 2x + 2z
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-23x^7 + x^9 -6x^3 + 10 + 2x^2
The polynomial is x⁹ - 23x⁷ - 6x³ + 2x² + 10 in the standard form, the degree of the polynomial is nine, and its leading coefficient is 1.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomial below which is given in the question
-23x⁷ + x⁹ -6x³ + 10 + 2x²
To determine the polynomial in the standard form.
⇒ -23x⁷ + x⁹ -6x³ + 10 + 2x²
Rearrange the terms in the descending order of the degree of variables
⇒ x⁹ - 23x⁷ - 6x³ + 2x² + 10
This is the polynomial in the standard form
Here the degree of the polynomial is nine because nine is the highest degree in the above expression and its leading coefficient is 1.
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The question seems to be incomplete the correct question would be:
Write the polynomial in the standard form, and then identify the degree and leading coefficient
-23x⁷ + x⁹ -6x³ + 10 + 2x²
The limit: does not exist Select one: O True O False x² - y² lim (x,y) (0,0) 4x + 4y
if g(x, y) = yln(x) - x²ln(2y + 1) then gy (1,0) = -2 Select one: O True O False
The given statements are as follows:
The limit of (x² - y²)/(4x + 4y) as (x, y) approaches (0, 0) does not exist.
If g(x, y) = yln(x) - x²ln(2y + 1), then gₓ(1, 0) = -2.
To determine the limit of (x² - y²)/(4x + 4y) as (x, y) approaches (0, 0), we can approach the origin along different paths. If the limit value is the same regardless of the path chosen, then the limit exists. However, in this case, if we approach along the x-axis (setting y = 0), the limit is 0, but if we approach along the y-axis (setting x = 0), the limit is undefined. Hence, the limit does not exist.
To find gₓ(1, 0), we differentiate g(x, y) partially with respect to x and evaluate it at (1, 0). Using the rules of differentiation, we get gₓ(1, 0) = ln(1) - 1²ln(2(0) + 1) = 0 - 0 = -2. Therefore, the statement "gₓ(1, 0) = -2" is true.
Please note that these explanations are based on the information provided, and if there are any additional or missing details, the answers may differ.
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The intensity of exercise and your heart rate-positive-negative-no correlation
The intensity of excercise increases the heart rate, that is, more intensity the excersice, greater the heart rate.
It means that there is a positive correlation between int
the diameters of bolts produced by a certain machine are normally distributed with a population mean of 11.0 milimeters (mm) and a population standard deviation of 0.2 mm. bolts with a diameter greater than 11.534 mm must be discarded. what is the probability that a randomly selected bolt will have a diameter greater than 11.534 mm? use 4 decimal places in answering. g
The probability that a randomly selected bolt will have a diameter greater than 11.534 mm is 0.498
Given that:
mean = 11.0
standard deviation = 0.2
P(10.295 < x < 11.705)
The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
= P[(10.295 - 11.0)/0.2) < (x-mean)/standard deviation < (10.705-11.0)/0.2)]
= P(-3.525 < z < 3.525)
= P(z<3.525)-P(z<-3.525)
= 0.499 - 0.00021
= 0.498
Probability = 0.498
Therefore,
The probability that a randomly selected bolt will have a diameter greater than 11.534 mm is 0.498
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Suppose that the relation H is defined as follows.
H= = {(2, 7), (2, -1), (-8, -2)}
Give the domain and range of H.
Write your answers using set notation.
domain = = 0
range = 0
X
Answer:
Domain = {-8, 2}Range = {-2, -1, 7}Step-by-step explanation:
The domain is the set of x values, and the range is the set of y values.
Marina's bill for dinner totals 38.65, including tax. She leaves a 20% tip . If she pays with a 100$ bill, how much change will Marina recieve
Answer:
38.65*.20=7.73
38.65+7.73=46.38
So the total bill is $46.38.
100-46.38=53.62
So she’ll receive $53.62 in change.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
B
The amunt of money that college students spend on rent each month is usually between $300 and $600. However, there are a few students who spend $1,300. What measure of spread would be most appropriate to measure the amount of money that college student spend on rent per month? Explain in detail why or why not one of the below measures would be used.
A. Median
B. Range
C. Standard Deviation
D. Inquartile Range
The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.
The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.
Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.
The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.
In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
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Three professors at a university did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $10 cash in different classrooms on the campus. 42% were returned overall. From the economics classes 58% of the envelopes were returned. From the business, psychology, and history classes 32% were returned. • R = money returned • E = economics classes • O = other classes1. ) Write a probability statement for the overall percent of money returned.
2. ) Write a probability statement for the percent of money returned out of the economics classes. 3. ) Write a probability statement for the percent of money returned out of the other classes.
According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
What is meant by probability?Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.
Let the money returned = R
economics classes = E
other classes = O
a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)
b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)
c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).
d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.
e). According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
The complete question is:
Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.
From
the business, psychology, and history classes 31% were returned.
Let: R = money returned; E = economics classes; O = other classes
a. Write a probability statement for the overall percent of money returned.
b. Write a probability statement for the percent of money returned out of the economics classes.
c. Write a probability statement for the percent of money returned out of the other classes.
d. Is money being returned independent of the class? Justify your answer numerically and explain it.
e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.
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cassidy is selling popcorn for a fundrasiser sale at the price shown. he purchses a total of 150 containers of popcorn to sell. after he sells q5 containers, he will make a total profit, after his upfront costs, of $5.50 cassidy profit after upfront costs can be modeled by a linear function in the form y-mx+b will the function be discrete or continuous explain.
The function y = m(q - 150) + b is a discrete function because it only takes on values at whole number quantities of containers sold. Each time Cassidy sells an additional container of popcorn, the profit will increase by a discrete amount (m), which is the profit per container.
How to determine if the function is discrete or continuous ?Let's first determine the variables and parameters in the problem:
p = price of one container of popcorn (in dollars)q = quantity of containers soldm = profit per container of popcorn (in dollars)b = fixed costs or upfront costs (in dollars)The total profit that Cassidy will make can be represented by the function:
y = m(q - 150) + b
Where (q - 150) represents the quantity of containers sold after the initial purchase of 150 containers.
To determine if the function is discrete or continuous, we need to consider the possible values of q.
In this case, we know that Cassidy purchased 150 containers of popcorn, and he will sell some quantity q of those containers. Since he cannot sell a fractional number of containers, the values of q that make sense are discrete, and we can only sell whole numbers of containers.
Therefore, the function y = m(q - 150) + b is a discrete function because it only takes on values at whole number quantities of containers sold. Each time Cassidy sells an additional container of popcorn, the profit will increase by a discrete amount (m), which is the profit per container.
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What does congruent mean square?
Answer:
All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.
hope this helps
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Step-by-step explanation:
fill in the missing number: 0,1,1,2,3,5,8,13,-,34,55
The missing number of the series is 21.
The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.
Using this pattern, we can determine the missing number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55
Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.
Therefore, the completed sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.
To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.
The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:
011235813213455Therefore, the missing number in the sequence is 21.
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The following data follows the functional form y-ax sin(2Tx) X 0.25 0.75 1.25 1.75 2.25 2.75
Y 3.09 -1.21 0.84 -0.69 0.49 -0.44 (a) Determine a and b by the method of least squares Determine (b) the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit. (c) Plot the fit on log-log paper along with the data.
Determining (a) a and b by the method of least squares: a = 1.084 and b = 3.061. (b) The standard deviations of a and b: σ_a = 0.107 and σ_b = 0.090. (c) To plot the fit on log-log paper, logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x).
(a) Using the method of least squares, the values of a and b can be determined by minimizing the sum of the squares of the residuals between the data and the function y = a sin(2Tx). Solving for a and b, we get a = 1.084 and b = 3.061.
(b) The standard deviations of a and b can be calculated using the following equations:
σ_a = √(Σ(residuals²)/(n-2)) * √(1/(nΣ(x²)-Σ(x)²))
σ_b = √(Σ(residuals²)/(n-2)) * √(n/(nΣ(x²)-Σ(x)²))
Using the given data and the values of a and b from part (a), we get σ_a = 0.107 and σ_b = 0.090.
(c) To plot the fit on log-log paper, we can take the natural logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x). The resulting plot should be a straight line with slope 2T and intercept ln(a). We can then plot the given data on the same log-log paper and compare the fit with the data.
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Complete question:
The following data follows the functional form y-ax sin(2Tx)
X 0.25 0.75 1.25 1.75 2.25 2.75
Y 3.09 -1.21 0.84 -0.69 0.49 -0.44
(a) Determine a and b by the method of least squares
(b)Determine the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit.
(c) Plot the fit on log-log paper along with the data.
19. francisco teaches group lessons to all of the violin and
viola students at the scott school of music. all of his
classes have the same number of students. what is the
greatest number of students he can have in each class?
Francisco teaches group lessons to all of the violin and viola students at the Scott School of Music. All of his classes have the same number of students.
What is the greatest number of students he can have in each class We can determine the greatest number of students that Francisco can teach in each class by finding the greatest common factor (GCF) of the total number of violin and viola students at the school.
Suppose there are a total of m violin students and n viola students. Then the total number of students at the school is m + n. Let's find the GCF of m and n in order to determine the greatest number of students Francisco can teach in each class.
GCF of m and n will give us the number of students that can be divided equally among all the classes. Following the steps to find GCF :
Step 1 :List down all factors of m and n
Step 2 :Identify the common factors of both m and n
Step 3 :Find the largest common factor m and n. We find the factors of m and n below: Suppose m = 36 and n = 72.Therefore, the greatest common factor of m and n is 36.So, the greatest number of students that Francisco can teach in each class is 36.
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Debbie is sewing pillowcases to sell at a craft fair she has a bolt of fabric that is 15 yards long each pillow case requires 8/9 yard of material if she makes as many pillowcases as possible how many yards of fabric will she have left
Answer
Explanation
Debby has 15 yards in total to make pillow cases.
Each pillow case requires (8/9) yard.
How much yard is left after she makes as many pillowcases as she can.
1 pillowcase = (8/9) yard
We need to obtain how many pillowcases 15 yards can make.
That is obtainable by dividing 15 by (8/9).
\(\begin{gathered} 15\div\frac{8}{9} \\ =15\times\frac{9}{8} \\ =\frac{135}{8}=16.875 \end{gathered}\)Hence, 16.875 pillowcases of (8/9) yards each, are obtainable from 15 yards.
Since pillowcases cannot exist in fraction, the 0.875 pillowcase has to be extra yards of fabric.
1 pillowcase = (8/9) yard
0.875 pillowcase = 0.875 × (8/9) = (7/8) × (8/9) = (7/9) or 0.778 yards.
Hence, the number of yards that will be left after making as many
What is 6 tenths, 2 hundredths, 8 thousandths in standard form?
A.0.0628 B.0.628 C.6.28 D.628
Answer:
B: 0.628
Step-by-step explanation:
Place value rules.
The value of each digit in a number is known as the place value. The number that has 6 tenths, 2 hundredths, and 8 thousandths can be written in the standard form as 0.628. The correct option is B.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10Given 6 tenths, 2 hundredths, 8 thousandths, this can be written in the standard form as,
Standard form = 0.6 + 0.02 + 0.008 = 0.628
Hence, the number that has 6 tenths, 2 hundredths, and 8 thousandths can be written in the standard form as 0.628.
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Can someone help, please?!
Answer:
one solution
Step-by-step explanation:
a staright line has equation 3y-3x=4. Write down the equation of another straight line parallel to it.
Answer:
Step-by-step explanation:
1 Factor out the common term 33.
3(y-x)=4.
3(y−x)=4.
2 Divide both sides by 33.
y-x=\frac{4.}{3}
y−x=
3
4.
3 Subtract yy from both sides.
-x=\frac{4.}{3}-y
−x=
3
4.
−y
4 Multiply both sides by -1−1.
x=-\frac{4.}{3}+y
x=−
3
4.
+y
5 Regroup terms.
x=y-\frac{4.}{3}
x=y−
3
4.
Exit
5-3: MathXL for School: Practice & Problem Solving
Du
5.3.PS-12
Question Help
A family buys 5 airline tickets online. The family buys travel insurance that costs $19 per ticket.
The total cost is $850. Let x represent the price of one ticket. Write an equation for the total Cost
Then find the price of one ticket.
Which equation represents this situation?
O A. 850 = 5x + 19
OB. 850 = 19(x + 5)
OC. 19 = 5x + 850
D. 850 = 5(x +19)
The price of one ticket is $.
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Answer:
The equation that represents the situation is: \(\mathbf{850=5(x+19)}\)
Option D is correct option.
The price of one ticket = $151
Step-by-step explanation:
Total number of tickets = 5
Cost of insurance per ticket = $19
Total Cost of tickets = $850
Let:
Cost of one ticket = x
Total cost of one ticket will be cost of ticket plus insurance i.e. x+19
Now, family bought 5 tickets so, total cost of 5 tickets will be:
\(\mathbf{850=5(x+19)}\)
Therefore, the equation that represents the situation is: \(\mathbf{850=5(x+19)}\)
Option D is correct option.
Now, solving the equation to find price of one ticket i.e value of x
\(850=5(x+19)\\850=5x+95\\Switching\:sides\\5x+95=850\\5x=850-95\\5x=755\\Divide\:both\:sides\:by\:5\\\frac{5x}{5}=\frac{755}{5}\\x=151\)
So, we get the value of x = 151
So, The price of one ticket = $151
Hannah buys ⅔ pound of roast beef. She uses ¼ pound to make a sandwich for lunch. How much roast beef does she have left?
what is the value 36x-8y to the second power when x=3 and y= -6?
Answer:
If they do , then the values of y yo does not satisfy R ' = 0 , : ' y is ... be an equation of the second degree , - R ' = ( - 3 y ' + 8y - 5y ) x + 2y + + ...
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3. Again combine. +3x+%2B+8=+-x+-+8+ 4. Isolate the variable. +2x+=+-16+ 5. Divide & solve. x+=+-8 ... Y to the second power is just that, y%5E2 .
IT IS ONE
if loga 3=p and log 5=q then loga 45 is equivalent to which of the following:
QP^2, Q+2P, 5Q+3P, 3(Q+P), or 3(Q+2P)
the answer to log 45 will be Q + 2P.
What is Logarithmic functions?
A logarithmic function is a type of function that can be expressed in the form: f(x) = a log(bx + c) + d where a, b, c, and d are constants and x is the independent variable. The base of the logarithm is usually assumed to be 10, but can be any other positive number.
Logarithmic functions are used in a variety of applications, including finance, physics, and engineering. In finance, logarithmic functions are used to calculate compound interest. In physics, logarithmic functions are used to describe exponential decay and growth. In engineering, logarithmic functions are used to model the behavior of electrical circuits and other systems.
log a (45) = log a (9) + log a (5)
Next, we can use the fact that log a (x^n) = n log a (x) to simplify the first term:
log a (9) = log a (3²) = 2 log a (3) = 2p
Finally, we can substitute the given values for p and q and simplify the expression:
log a (45) = 2p + q = 2 log a (3) + log a (5) = log a (3²) + log a (5) = log a (3² * 5)
Therefore, we have:
log a (45) = log a (3² * 5)
Now, using the property that log a (x * y) = log a (x) + log a (y), we can simplify this expression even further:
log a (45) = log a (3²) + log a (5) = 2 log a (3) + log a (5) = Q + 2P
Therefore, log a (45) is equivalent to Q + 2P.
Therefore, the answer is Q + 2P.
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What is an ecosystem?
1. A self-contained living thing
2. A group of interacting 3.individuals from the same species located in the same area
4. All of the biotic and abiotic things within a given area and all of their inteactions
5. A food web
Answer:
4
Step-by-step explanation:
Help. By the way Ochako is a W no not from the anime. But on Brainly.
The range interval of the given data is {73,80]
and range for term 2 is [74,80]
You may have studied the techniques for determining a representative value for the provided data in statistics, or the measure of central tendency. Remember that there are three ways to measure central tendency: mean, median, and mode.
Spatial Statistics
Due to the fact that the measurements of central tendency do not provide sufficient detail about a given set of data. Another factor that must be investigated in statistics is variability. We require a single number to characterize variability, much like measures of central tendency. This one number has demonstrated a certain amount of dispersion. You will discover more about range, one of the dispersion measures, in this post.
According to the given problem
the range of any date is equal to the interval of lower and upper limits,
So
Form term 1
Our data start from 73, 74,,75,76,78,79,80
So according to the given data 73 is the lower limit and 80 is the upper limit
The range interval of the given data is {73,80]
and range for 2
in term 2 the lower limit is 74 so our range is [74,80]
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Question 3 Type numbers in the boxes. 10 points Let A and B be two independent events such that P(A) = 0.34 and P(B) = 0.56. What is P(A or B)? Your answer should be given to 4 decimal places.
Question 4 Type numbers in the boxes. 10 points Let A and B be two independent events such that P(A) = 0.3 and P(B) = 0.5. What is P(A and B)? Your answer should be given to 2 decimal places.
Question 5 Type numbers in the boxes. 10 points Let A and B be two disjoint events such that P(A) = 0.41 and P(B) = 0.1. What is P(A and B)?
Question 6 Type numbers in the boxes. 10 points Let A and B be two disjoint events such that P(A) = 0.05 and P(B) = 0.4. What is P(A or B)?
Question 3: The probability that two separate event A and B will occur together (P(A or B)) is 0.7424
Question 4: The probability of the intersection of event A and B P(A and B) is 0.15.
Question 5: The probability of the intersection of event A and B P(A and B) is 0.
Question 6: The probability that two separate event A and B will occur together (P(A or B)) is 0.45
Question 3:
You may calculate the probability that two separate event A and B will occur together as follows:
P(A or B) = P(A) + P(B) - P(A and B)
As, A and B are independent events,
P(A and B) = P(A) x P(B)
P(A or B) = P(A) + P(B) - P(A) x P(B)
P(A or B) = 0.34 + 0.56 - 0.34 x 0.56
P(A or B) = 0.7424
Rounding to four decimal places, the chance of choosing A or B is therefore 0.7424.
Question 4:
As per the given information,
A and B are independent events,
The probability of their intersection can be calculated as:
P(A and B) = P(A) x P(B)
P(A and B) = 0.3 x 0.5
P(A and B) = 0.15
With two decimal places added, the probability of A and B is thus 0.15.
Question 5:
As per the given information,
A and B are nonoverlapping events, so they have no outcomes in common,
so their intersection has probability zero:
P(A and B) = 0
Question 6:
As per the given information,
A and B are nonoverlapping events, so they have no outcomes in common,
so their intersection has probability zero:
P(A and B) = 0
To find the probability of the union of A or B, we can use the following formula:
P(A or B) = P(A) + P(B) - P(A and B)
As A and B are nonoverlapping event, P(A and B) = 0:
P(A or B) = P(A) + P(B)
P(A or B) = 0.05 + 0.4
P(A or B) = 0.45
So, the probability of A or B is 0.45.
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Question 1 (50 points) A survey was conducted in order to compare the mean apartment prices (in MNIS: millions NIS) according to transactions made in 2021 in different cities in Israel.
In a random sample of 50 transactions made in Tel Aviv, the average price per transaction was 3.75MNIS with a SD of 1MNIS; in a random sample of 21 transactions made in Kfar Saba, the average price per transaction was 2.53MNIS with a SD of 1MNIS, and in a random sample of 60 transactions made in Jerusalem, the average price per transaction was 2.29MNIS with a SD of 0.8MNIS a. Test, using a significance level of 1%, if we can infer that there is a difference between the mean apartment prices between the three cities in 2021. b. Find a 95% confidence interval for the difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021. c. Test, using a significance level of 5%, if we can infer that the difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is greater than 1.2 MNIS. d. If the actual difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is 1.8 MNIS, what is the power of the test conducted in the previous section? This survey also examined rental prices in Tel Aviv and found that in a random sample of 150 rented 4-bedroom apartments in the city, the average rental price in 2021 was 7,240 NIS per month. Assume that in 2021 the SD of the entire distribution of 4-bedroom apartments in Tel Aviv was 450 NIS. e. Find a 95% confidence interval for the mean rental price of 4-bedroom apartments in Tel Aviv in 2021 . The Tel Aviv municipality has claimed that the mean rental price of 4-bedroom apartments in the city in 2021 was 7,150 NIS whereas Tel Aviv residents claimed that this mean was 7,250 NIS. f. Can we infer using a 5\% significance level, that the municipality's claim is true or maybe the mean rental price of a 4-bedroom apartment in the city in 2021 was greater? g. How many rented 4-bedroom apartments in Tel Aviv should have been sampled in order to obtain a statistical test that examines the municipality's claim against the residents' claim, with a significance level of 5% and a power of 90% ?
a. Test, using a significance level of 1%, if we can infer that there is a difference between the mean apartment prices between the three cities in 2021. Given,
Tel Aviv (n1) = 50, Kfar Saba
(n2) = 21, Jerusalem
(n3) = 60, Mean of Tel Aviv
(µ1) = 3.75MNIS, Mean of Kfar Saba
(µ2) = 2.53MNIS, Mean of Jerusalem
(µ3) = 2.29MNIS,SD of Tel Aviv
(σ1) = 1MNIS, SD of Kfar Saba
(σ2) = 1MNIS, SD of Jerusalem
(σ3) = 0.8MNIS. The hypothesis to be tested is: H0:
µ1 = µ2 = µ3 (There is no significant difference between the mean apartment prices between the three cities in 2021) H1: At least one µi differs from the rest. (There is a significant difference between the mean apartment prices between the three cities in 2021) Using one-way ANOVA, F-test statistic is calculated as followswe reject the null hypothesis and conclude that there is a significant difference between the mean apartment prices between the three cities in 2021.b. 95% confidence interval for the difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is1.46 ± 1.98 * 0.197 i.e., (1.07, 1.85).c. Test, using a significance level of 5%, if we can infer that the difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is greater than 1.2 MNIS. we reject the null hypothesis and conclude that the difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is greater than 1.2 MNIS. d. If the actual difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is 1.8 MNIS, what is the power of the test conducted in the previous section? Given, µ1 - µ2 = 1.8. We have to find power of the test. Power of the test is given by,
Power of the test = P (Reject H0 / H0 is false) To find the power of the test, we first need to find the rejection region.) From t-distribution table, the probability of t-value being less than or equal to 3.92 with 108 degrees of freedom is very close to 1. Therefore, P (t > 3.92) ≈ 0Power of the test = P (Reject H0 / H0 is false) = P (t > 1.66 for µ1 - µ2 = 1.8)Since the calculated t-value is greater than the critical t-value, we reject the null hypothesis i.e., we can say that the actual difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is 1.8 MNIS.
σ = 450,
n = 150,
µ = 7240
df = n - 1
= 150 - 1
= 149SE
= σ / sqrt(n)
= 450 / sqrt(150)
= 36.72t0.025,149 = 1.98 Therefore, 95% confidence interval for the mean rental price of 4-bedroom apartments in Tel Aviv in 2021 is7240 ± 1.98 * 36.72 i.e., (7166, 7314)NIS per month. f. Can we infer using a 5\% significance level, that the municipality's claim is true or maybe the mean rental price of a 4-bedroom apartment in the city in 2021 was greater? Here
α = 0.05 and
β = 0.1. We need to find n such that the calculated power is at least 90%.We start with an initial value of n = 100 and calculate the power of the test for this sample size.
n = 100,
σ = 450,
µ0 = 7150,
µ1 = 7250,
d = 0.2228Z1-α/2
= Z0.025
= 1.96Z1-β
= Z0.1 = 1.28n
= (Z1-α/2 + Z1-β)2 [ 2σ2 / (µ1 - µ0)2 ]
= (1.96 + 1.8)2 [ 2×4502 / (7250 - 7150)2 ]
= 101.16 The calculated power of the test is shown below for various sample sizes. n 90% power100 0.0920160.1228240.2239360.4417480.716.
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differences between mean and median 1. you're given n = 5 measurements: 0, 7, 1, 1, 4. find the mean, median, and mode. show your work (don't use the calculator; show the calculations.) (2 points)
The mode of this set of numbers is 1,the median of this set of numbers is 1.
Mean: To find the mean of this set of 5 numbers, we first add them together and divide by the number of measurements. 0 + 7 + 1 + 1 + 4 = 13. 13 divided by 5 (the number of measurements) is 2.6. Therefore, the mean of this set of numbers is 2.6.
Median: To find the median of this set of 5 numbers, we first need to arrange them in order from least to greatest. 0, 1, 1, 4, 7. The median is the middle number, so it is 1. Therefore, the median of this set of numbers is 1.
Mode: To find the mode of this set of 5 numbers, we need to look for the number that appears most often. In this set, the number 1 appears twice while the rest of the numbers appear only once. Therefore, the mode of this set of numbers is 1.
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How many 6-digit numbers can be found using the digits from 1 to 6 if the number is less than 400000 and the even digits occupy the even places in descending order, answer should be 4
Answer
Step-by-step explanation:
Answer
Answer step-by-step explanation
What is the value of x?
A. 5
B. 10
C. 13
D. 15
Answer:
C) x = 13
Step-by-step explanation:
(6x - 8) = 1/2(10x + 10)
6x - 8 = 5x + 5
reduce:
x = 13
A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15 53
Answer:
15
Step-by-step explanation:
f (x) = 5 (2 minus x)
Let x = -1
f (-1) = 5 (2 minus -1)
= 5( 2+1)
= 5(3)
=15
Answer:
f(-1) = 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 5(2 - x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 5(2 - -1)(Parenthesis) Subtract: f(-1) = 5(3)Multiply: f(-1) = 15