Answer:
3
Step-by-step explanation:
The dot plot indicate that the fish caught during the trip were as follows;
1st attempt----------0
2nd attempt --------3
3rd attempt ----------6
Total number of fish caught = 6+3+0 =9
Mean of the data = 9/3 = 3
Answer:
Hope this helps you
Step-by-step explanation:
means of data :- 9/3 = 3
Two ares are congruent if they have the same measure and ?
Two ares are congruent if they have the same measure and lengths
How to complete the statement?The statement is given as:
Two ares are congruent if they have the same measure and ?
The conditions for congruent shapes in geometry are;
Congruent angleCongruent lengthThis means that the angle and the length must be equal
Hence, the term that completes the blank is length
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0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)
What is the value of x in this proportion?
The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)
4/11= -33/x+5,
to get the value of x we need to get the x to the left hand side,
4(x+5)= -33,
4x+20 = -33.
subtracting 20 from both the sides,
4x= -33-20
4x = -53.
dividing both the sides by 4,
x= -53/4
x= \(-13\frac{1}{4}\) ,
which is option A in the given question
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A dot plot is shown.
Answer:
C i think but I could be wrong
Step-by-step explanation:
The accompanying data are from the article "Characteristics of Buyers of Hybrid Honda Civic IMA: Preferences, Decision Process, Vehicle Ownership, and Willingness-to-Pay" (Institute for Environmental Decisions, November 2006). Each of 306 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not.Suppose one of these 306 individuals is to be selected at random.a. Find the following probabilities:i. P(male)ii. P(hybrid)iii. P(hybrid|male)iv. P(hybrid|female)v. P(female|hybrid)b. For each of the probabilities calculated in Part (a), write a sentence interpreting the probability. c. Are the probabilities P(hybrid|male) and P(male|hybrid) equal? If not, write a sentence or two explaining the difference between these two probabilities.
The probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
What is probability?
Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
a.
i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503
ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324
iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208
iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441
v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677
b.
i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.
ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.
iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.
iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.
v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.
c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.
Hence, the probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
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Benjamin has $400, and makes $50 per week. Bill has $800 and spends $25 every week. What week will they have the same amount of money, and how
much money will that be?
Answer:
They won't
Step-by-step explanation:
Benjamin makes 50 per week, and Bill spends 25 per week, here's a table with each week for 10 weeks.
Ben 400, Bill 800Ben 450, Bill 775Ben 500, Bill 750Ben 550, Bill 725Ben 600, Bill 700Ben 650, Bill 675Ben 700, Bill 650Ben 750, Bill 625Ben 800, Bill 600Ben 850, Bill 575Opal saves $7. A week for 16 weeks. Her brother saves $27. A month for 4 months. Who saves more money?
Answer:
Opal saves more
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!!!!!
Answer:
\(12\pi\)
Step-by-step explanation:
\(L=\frac{\pi (120)(18)}{180} =\frac{2160\pi }{180}= 12\pi\)
Hope this helps
which equation can be simplified to find the inverse of y x2 7
x = y² - 7 is the simplified inverse equation of the equation y = x² - 7.
What is Inverse function?Inverse function is a function which reverse one function to another.
If a function f takes the variable x to y, then the inverse of a function must takes y to x.
To get the inverse of the function, we have to interchange the variables.
Given equation is y = x² - 7
Now interchange the variable x to y and y to x,
we get x = y² - 7
Hence, the required equation is x = y² - 7
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A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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Find the percent increase. Round to the nearest percent.
From $25 to $40
The percent increase is
Answer:
Step-by-step explanation:
40 minus 25 is 15
15/25 is .6
.6 times 100
60% is the percent increase
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
the angles of a regular pentagon are in the ratio 3 ratio 5 ratio 6 ratio 7 ratio 9.find all the angles
9514 1404 393
Answer:
54°, 90°, 108°, 126°, 162°
Step-by-step explanation:
The sum of angles in a pentagon is 180°(5 -2) = 540°.
The sum of ratio units is 3 +5 +6 +7 +9 = 30. So, each "ratio unit" stands for ...
540°/30 = 18°
Then the angles are found by multiplying the given ratios by 18°:
3 : 5 : 6 : 7 : 9 = 54° : 90° : 108° : 126° : 162°
Budgeting is a way to keep track of spending.
O False
O True
Answer:
True
Step-by-step explanation:
Having a budget keeps your spending in check and makes sure that your savings are on track for the future. Budgeting can help you set long-term financial goals, keep you from overspending, help shut down risky spending habits, and more.
A screw from the space shuttle in outer space falls from the space shuttle. How far would the screw travel in 11 seconds?
the screw far would travel 948.6
Ashley is training to run a marathon. On Monday, she runs 21 miles in 3 hours. On Wednesday, she runs 10 1/2 miles in 1 1/2 hours. What is the constant of proportionality in miles per hour?
Answer:
10.5 mph
Step-by-step explanation:
To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.
For Monday's run:
Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour
To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour
Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.
The total number (in millions) of smartphone units shipped worldwide from 2009 to 2016 is given by
S(x)=-5.11x^2+243.57x+102.64, where x is the number of years after 2009. Assuming the trend continues, how many millions of smartphone units will be shipped worldwide in 2019? (Do not round your answer.)
Answer: 2027.34
Step-by-step explanation:
first you plug in 10 for x
after you squared and multiplied you add
then it should come out to be 2027.34
In linear equation, 2027 .34 millions of smartphone units will be shipped worldwide in 2019.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
S(x)=-5.11x^2+243.57x+102.64 ...............1
For smartphone skipped in 2019
x = 2019 - 2009
x = 10
putting x = 10 in (1)
S( 10 ) = -5.11 (10)² + 243.57 * 10 + 102.64
= -511 + 2435.7 + 102.64
= 2027 .34
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The complete question is -
The total number (in millions) of smartphone units shipped worldwide from 2009 to 2016 is given by S(x)=-5.11x^2+243.57x+102.64. where is the number of years after 2009. Assuming the trend continues, how many millions of smartphone units will be shipped worldwide in 2019? (Do not round your answer.)
(Source: Statista 2017)
answer the question submitted
The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:
Step 1: Divide the coefficient of x by 2 and square the result.
(Coefficient of x) / 2 = -28/2 = -14
(-14)² = 196
Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.
g(x) = 4x² - 28x + 49
= 4x² - 28x + 196 - 196 + 49
Step 3: Rearrange the terms and factor the perfect square trinomial.
g(x) = (4x² - 28x + 196) - 196 + 49
= 4(x² - 7x + 49) - 147
= 4(x² - 7x + 49) - 147
Step 4: Write the perfect square trinomial as the square of a binomial.
g(x) = 4(x - 7/2)² - 147
Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
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The probable question may be:
Rewrite the function by completing the square.
g(x)=4x²-28x +49
g(x)= ____ (x+___ )²+____.
1 - 3/10 - 1/10 please help
Answer:
0.2 in decimal form and 1/5 in fraction form
Step-by-step explanation:
Answer:
-3/10-1/10
= -4/10
Step-by-step explanation:
-3-1=-4............
If u are supposed to reduce to simplest form
-2/5
At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples? 7th honors it is due today help
Answer:
$1.76 for 8 apples
Step-by-step explanation:
0.65 / 3 = 0.22
0.22 * 8 = 1.76
Darcy bought 4 kilograms of peanuts. She put an equal amount into 5 containers. How many kilograms did she put in each container?
The number of kilograms which Darcy put in each container is equal to 0.8 kilogram.
What is the unit rate?In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.
In order to determine the unit rate, we would use the following mathematical equation (formula);
Unit rate = Number of kilograms of peanuts/Number of containers
Unit rate = 4/5
Unit rate = 0.8 kilogram.
In conclusion, we can reasonably infer and logically deduce that Darcy put 0.8 kilogram in each of the five containers.
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4y=2x nonportional or portional
The relationship described by the equation 4y = 2x is proportional.
The relationship in the equation 4y = 2x is proportional. By simplifying the equation, we got that y = (1/2)x, which shows that y is directly proportional to x. In a proportional relationship, the ratio of y to x always remains constant.
In this scenerio, the constant of proportionality is 1/2. As x increases or decreases, y also increases or decreases by half of x.
So, the relationship between y and x in this equation is proportional, indicating that changes in x will result in corresponding proportional changes in y.
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The question is:-
Is the relationship described by the equation 4y = 2x proportional or non-proportional?
For #10 – 12, use the diagram to the right.
10)
m 2 =
11)
m2 3 =
419
2
3
4
12)
m2 4=
Answer:
What is the value of x in the product of powers below?
6 Superscript 9 times 6 Superscript x = 6 squared
Negative 11
negative 7
7
11
Step-by-step explanation:
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
Quintin was promised an interest rate of 5.3% on an investment of $5,000 compounded quarterly . How much will he have in 9 years ?
The amount in 9 years is $8030.97
How to determine the amount in 9 years?The given parameters are:
Principal = $5,000
Rate = 5.3%
Number of times, n = 4 times i.e quarterly
TIme, t = 9 years
The amount of the investment can be calculated using
Amount = P * (1 + r/n)^nt
So, we have
Amount = 5000* (1 + (5.3%)/4)^(4 * 9)
Evaluate
Amount = 8030.97
Hence, the amount is $8030.97
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Given the two rectangles below. Find the area of the shaded region.
Answer:
The area of the shaded region is 36.
Step-by-step explanation:
First, let's find the area of the rectangle as a whole, which will be 5*10 = 50. How did we get 50? The right side is 5 (from 2+3), and the top is 10 (3+7). Multiplying those numbers together will give you the area.
Now, the problem asks to find the shaded region. Let's solve for the area of the non-shaded region: (7*2) = 14.
Now, we can subtract the whole rectangle area minus the non-shaded region to find the shaded region:
50 - 14 = 36
Does the mean represent the center of the data?
Answer:
The “center” of a data set is also a way of describing location. The two most widely used measures of the “center” of the data are the mean (average) and the median.
Step-by-step explanation:
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A sample of 255 observations is selected from a normal population with a population standard deviation of 27. The sample mean is 20. Determine the standard error of the mean.
Answer:
1.691
Step-by-step explanation:
Standard error of the mean is expressed as SEM = S/√n
S is the population standard deviation
n is the sample size (number of observation)
Given S = 27 and n = 255
SEM = 27/√255
SEM = 27/15.97
SEM = 1.691
Hence the standard error of the mean is 1.691
What the the Quotient 7/12 divided by 2/5
Answer:35/24
Step-by-step explanation:
7/12 ➗ 2/5
Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted
7/12 x 5/2
(7x5)/(12x2)
35/24
The quotient of 7/12 divided by 2/5 is 35/24.
To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.
Here are the steps:
Write down the first fraction: 7/12
Write down the reciprocal of the second fraction: 5/2
Multiply the first fraction by the reciprocal: (7/12) x (5/2)
Multiply the numerators: 7 x 5 = 35
Multiply the denominators: 12 x 2 = 24
Simplify the fraction, if possible: 35/24
Therefore, the quotient of 7/12 divided by 2/5 is 35/24.
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jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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