Answer:
mean is the average of all the values:
( 15.07 + 15.47 + 15.93 + 15.86 + 15.07 ) / 5 = 15.48g
median is the middle value AFTER it has been arranged in increasing order:
the increasing order is: 15.07, 15.07, 15.47, 15.86, 15.93
the middle value is 15.47g making it the median.
the mode is the most repeated value: 15.07g
HURRRRY!!!! Thank you
Answer:
C
Step-by-step explanation:
Uhm I tried my best im so sorry if it's wrong
it is B yep he was right have a nice day
¿Cuál es la probabilidad de que, al lanzar dos dados, uno blanco y uno rojo, obtener en el dado blanco un número menor que tres y en el rojo un valor mayor a tres?
La probabilidad de obtener en el dado blanco un número menor que tres y en el rojo un valor mayor a tres es:
p = 1/6.
¿Como obtener la probabilidad?
Tiramos dos dados, uno blanco y uno rojo, y queremos obtener la probabilidad de obtener un número menor a 3 en el dado blanco y un numero mayor a 3 en el dado rojo.
Primero, el dado blanco tiene los posibles valores {1, 2, 3, 4, 5, 6}, los valores menores que 3 son {1, 2}
Entonces 2 de 6 resultados son menores que 3, es decir, la probabilidad es:
P = 2/6 = 1/3.
Para el dado rojo los posibles valores son los mismos, y los valores mayores que 3 son {4, 5, 6}, entonces 3 de 6 resultados son mayores que 3, es decir, la probabilidad es:
Q = 3/6 = 1/2.
La probabilidad conjunta es el producto de la dos probabilidades individuales:
p = P*Q = (1/3)*(1/2) = 1/6.
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help pkzzzzzzz
solve for x.
\( \frac{4}{5} x = - \frac{1}{4} \)
4/5x = -1/4
x = -1/4 × 5/4
x = -5/16
x = -0.3125
_____
RainbowSalt2222 ☔
g 5. Measurements of the length in centimeters of a sample of 29 fish yielded an average length of 16.82 and variance 34.9. Determine the size of a new sample so that the true mean length is estimated with the margin of error of 0.5 centimeters with 95% confidence.
A new sample size of at least 537 fish to estimate the true mean length with a margin of error of 0.5 centimeters and 95% confidence.
To determine the size of a new sample so that the true mean length is estimated with a margin of error of 0.5 centimeters with 95% confidence, we need to find the standard error of the mean and use it in the formula for the margin of error.
The formula for the margin of error is: ME = z * (σ/√n)
where z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and n is the sample size.
We can estimate the standard deviation of the population using the sample variance, which is given as 34.9.
The standard deviation is the square root of the variance, so σ = √34.9
= 5.91.
To find the standard error of the mean, we divide the standard deviation by the square root of the sample size:
SEM = σ/√n
= 5.91/√n We want the margin of error to be 0.5 centimeters, so we can set up the equation:
0.5 = z * (5.91/√n)
To solve for n, we need to know the value of z for a 95% confidence level.
This corresponds to a z-score of 1.96. Substituting this into the equation gives: 0.5 = 1.96 * (5.91/√n)
Simplifying and solving for n gives: √n = 1.96 * (5.91/0.5) √n
n =(23.18)
n = 537
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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,620 was collected on the
sale of 1,104 tickets. How many of each type of ticket were sold?
Answer:adult=379, student=725
Step-by-step explanation:
Given
Total tickets sold for $2620
total no of tickets 1104
The cost of an adult ticket is $5
The cost of a student ticket is $1
Suppose there are x adults and y students
So, we can write
\(\Rightarrow x+y=1104\quad \ldots(i)\\\Rightarrow 5x+y=2620\quad \ldots(ii)\)
Put the value of y from (i) into (ii)
\(\Rightarrow 5x+1104-x=2620\\\Rightarrow 4x=1516\\\Rightarrow x=379\)
Similarly, \(y=1104-379=725\)
The Garcia family has a monthly budget of $2000 to spend on groceries and utility bills. If they spend 20% on groceries, how much of their monthly budget do they spend on groceries?
Answer:
If the Garcia family has a monthly budget of $2000 and they spend a portion of that budget on groceries, we can use percentages to determine the amount spent on groceries.
In this case, we know that the family spends 20% of their monthly budget on groceries. To calculate this, we take 20% (or 0.2 as a decimal) of $2000, which gives us $400.
Therefore, the Garcia family spends $400 of their $2000 monthly budget on groceries. This leaves them with $1600 for their utility bills, such as electricity, gas, water, and other household expenses.
By using percentages to calculate their spending, the Garcia family can better track their expenses and make informed decisions about their budget. It is important to allocate funds appropriately to different expenses to ensure that all necessary expenses are covered while also allowing for some flexibility and savings.
there are four activities on the critical path, and these activities have standard deviations of 6, 4, 2, and 5 days, respectively. what is the standard deviation of this critical path?
The critical route contains four activities with standard deviations of 6, 4, 2, and 5 days. The critical path's standard deviation is 17 days.
It follows that the critical path's standard deviation is equal to the total of the standard deviations of the four activities that make up the critical path.
6 + 4 + 2 + 5
=17
indicating that the critical route deviates by 17 days from the mean days of critical path activities.
The term standard deviation refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean.
A standard deviation that is close to zero implies that the data points are close to the mean.
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Calculate the volume of oil exiting the pipe every hour: Calculate the volume of oil exiting the pipe every day: Convert cu in/day to cubic feet per day: cu. in/hour cu in/day cu ft/day
The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.
To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.
To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.
Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.
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837x23. first answer will be brainliest.
+10 pts
I know I'm not getting brainliest but i need points and I'm doing a challenge so
19251
Joann has a certain number of dimes and quarters in her purse, with a total value of $3.75. The
number of quarters is 2 less than 3 times the number of dimes. Which system of equations could
be used to find the number of dimes, d, and the number of quarters, q, that Joann has?
Answer:
The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.
Step-by-step explanation:
Given that:
Total value of dimes and quarters = $3.75 = 3.75*100 = 375 cents
One quarter = 25 cents
One dime = 10 cents
Let,
d be the number of dimes
q be the number of quarters
According to given statement,
10d+25q=375
q = 3d-2
Hence,
The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.
Solve for all values of c in the simplest form |14-c|=15
Step-by-step explanation:
|14- c| = 15
=> 14 - c = 15 or 14 - c = -15
=> c = -1 or c = 29.
the marks on a statistics midterm are normally distributed with a mean of 78 and a standard deviation of 6. what proportion of the class has a midterm grade of less than 75?
The proportion of the class with a midterm grade less than 75 is approximately 0.3085, or 30.85%. This means that 30.85% of the class is expected to have a midterm grade lower than 75.
We can use the cumulative distribution function (CDF) of the normal distribution to find the proportion of the class with a midterm grade less than 75.
The CDF of a normal distribution with mean μ and standard deviation σ evaluated at a point x is given by the formula:
CDF(x) = 0.5 * [1 + erf((x - μ) / (σ * √2))]
where erf is the error function.
For this problem, μ = 78 and σ = 6, and x = 75, so the CDF can be calculated as follows:
CDF(75) = 0.5 * [1 + erf((75 - 78) / (6 * √2))]
= 0.5 * [1 + erf(-0.3536)]
The value of erf(-0.3536) can be looked up in a table or calculated using a software package. The result is approximately -0.383.
CDF(75) = 0.5 * [1 + -0.383] = 0.5 * [0.617] = 0.3085
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Use a single digit times a power of 10 to estimate the number 0.000007328.
Question content area bottom
Rounded to the nearest millionth, the number is about
The estimation of 0.000007328 is \(7\times10^{-6\).
What is estimation?Estimation is he ability to guess the amount of anything without actual measurement.
The number (n) is given as:
\(\text{n}=0.000007328\)
Multiply by 1
\(\text{n}=0.000007328\times1\)
The number is to be rounded to the nearest millionth.
So, we substitute \(\frac{1000000}{1000000}\) for 1
\(\text{n}=0.000007328\times1\)
\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)
This becomes
\(\text{n}=7.328\times\dfrac{1}{1000000}\)
Express the fraction as a power of 10
\(\text{n}=7.328\times10^{-6\)
Approximate to a single digit
\(\rightarrow\bold{n=7\times10^{-6}}\)
Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).
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Which expression below represents "11 more than the difference of b and y?"
Help ..................
Pythagorean Theorm Unit? I got you!
It would be C, about 63.07
What additional statement is needed in a proc import step when dbms = dlm is specified?
Now let's process the ASCII text file using the IMPORT and EXPORT procedures.
Must specify ASCII text file delimiter in DBMS options.
PROC IMPORT DATAFILE ="c:\sas\ego.csv" OUT=jeeshim.egov DBMS=CSV REPLACE;
GETNAMES=YES;
DATAROW = 2;
RUN
DATAFILE lets you import an external file.
Designates a SAS data file.
The DBMS specifies the type of external file. For example, "DBMS=DLM", "DBMS=CSV", and "DBMS=TAB".
REPLACE overwrites the existing file, if any.
GETNAMES reads the variable names from the first line of the data file.
The DATAROW option tells the row from which SAS reads the observations.
GETNAMES and DATAROW require a semicolon at the end.
This example exports the data set to an ASCII file by the specified range. DATA and OUTFILE respectively define the set of data to be output and the external file to which the data is output.
PROC export
DATA = jeeshim.egov
OUTFILE="c:\sas\ego.txt"
DBMS = DLM REPLACE;
RUN;
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Which equation describes a line that contains the point (4, -3) and is perpendicular to the line represented by the equation y=25x+3 ?.
The equation describes a line that contains the point (4, -3) is y = ( -1/25 )x - 71/25 .
Given :
The point (4, -3) and is perpendicular to the line represented by the equation y = 25x +3 .
Here slope m = 25
Perpendicular slope = -1 / m
= -1 / 25
The line equation is y = mx + c
Substitute m and ( 4 , -3 ) we get
-3 = -1/25 * 4 + c
-75 = -4 + 25c
-71 = 25c
c = -71/25
y = mx + c
y = ( -1/25 )x - 71/25
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Find the value of x in the triangle shown below.
16
12
Answer: 20
Step-by-step explanation:
Question 15(Multiple Choice Worth 5 points)
(03.03 LC)
What is the approximate distance between points A and B?
4-3-2-10
1
03.74
07.95
08.56
Help please
Answer:
1 is the answer you needed
The value of investments in the stock market change daily. Suppose you buy a stock for $1,000. It increases in value by 4.5% and then falls 4.5%. What is the new value
After the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975.
Let's calculate the new value of the stock after the increase and decrease.
Starting with $1,000, a 4.5% increase in value would be calculated as (4.5/100) * 1000 = $45. This brings the value up to $1,045.
Next, a 4.5% decrease in value would be calculated as (4.5/100) * 1045 = $47.025. This amount is subtracted from the increased value of $1,045.
Subtracting $47.025 from $1,045 gives us $997.975, which is slightly less than $1,000.
Therefore, after the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975. It's important to note that this calculation assumes a simple percentage increase and decrease without considering other factors that can affect stock market fluctuations.
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1. Injective and Surjective Linear Transformations. а 2c Define f:P2 → R* byf (ax2 + bx+c) = a + b 0.5b - a. Determine whether f is an injective (one-to-one) linear transformation. You may use any logical and correct method. b. Determine whether f is a surjective (onto) linear transformation. You may use any logical and correct method.
a)we have shown that if f(p1) = f(p2), then p1 = p2. Hence, the linear transformation f:P2 → R* is injective.
b) we need to find a polynomial p in P2 such that p(0.5) = y. Let p(x) = ax^2 + bx + c be such a polynomial. Then we have:
p(0.5) = a(0.5)^2 + b(0.5) + c = 0.25a + 0.5b + c
a) To determine if the linear transformation f:P2 → R* is injective, we need to check if different polynomials in P2 are mapped to different values in R*. In other words, we need to check if f(p1) = f(p2) implies p1 = p2 for any polynomials p1, p2 in P2.
Let p1(x) = a1x^2 + b1x + c1 and p2(x) = a2x^2 + b2x + c2 be two arbitrary polynomials in P2 such that f(p1) = f(p2). Then we have:
f(p1) = f(p2)
⟺ f(a1x^2 + b1x + c1) = f(a2x^2 + b2x + c2)
⟺ a1 + b1(0.5) - a1 = a2 + b2(0.5) - a2 (using the definition of f)
⟺ b1 = b2
Since f(p1) = f(p2), we also have:
a1 + b1(0.5) - a1 = a2 + b2(0.5) - a2
⟺ b1(0.5) = b2(0.5)
⟺ b1 = b2
Finally, we have:
a1 + b1(0.5) - a1 = a2 + b2(0.5) - a2
⟺ b1(0.5) = b2(0.5)
⟺ b1 = b2
Therefore, we have shown that if f(p1) = f(p2), then p1 = p2. Hence, the linear transformation f:P2 → R* is injective.
b) To determine if the linear transformation f:P2 → R* is surjective, we need to check if every element y in R* is the image of some polynomial in P2. In other words, we need to check if there exists a polynomial p in P2 such that f(p) = y for any y in R*.
Let y be an arbitrary element in R*. We want to find a polynomial p in P2 such that f(p) = y. Using the definition of f, we have:
f(ax^2 + bx + c) = a + b(0.5) - a = b(0.5)
Therefore, we need to find a polynomial p in P2 such that p(0.5) = y. Let p(x) = ax^2 + bx + c be such a polynomial. Then we have:
p(0.5) = a(0.5)^2 + b(0.5) + c = 0.25a + 0.5b + c
Hence, we need to solve the following system of equations for a, b, and c:
0.25a + 0.5b + c = y
Since this is a linear system of equations with three unknowns and one equation, there are infinitely many solutions (unless y is a special value that makes the system inconsistent). Therefore, we have shown that for any y in R*, there exists a polynomial p in P2 such that f(p) = y. Hence, the linear transformation f:P2 → R* is surjective.
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Brett has 100 feet of fence with which to make a rectangular cage for his dog. The area of the cage in square feet is given by the polynomial where w is the width of the cage in feet. What is the area of the cage if the width is 8 feet?
Answer:
Area of rectangle cage = 336 feet²
Step-by-step explanation:
Given:
Wire required for fencing = 100 feet
Width of rectangular cage = 8 feet
Find:
Area of rectangle cage
Computation:
Wire required for fencing = perimeter of cage
Perimeter of rectangular cage = 100 feet
2[l + b] = 100 feet
l + 8 = 50 feet
Length of rectangular cage = 42 feet
Area of rectangle cage = Length x Width
Area of rectangle cage = 42 x 8
Area of rectangle cage = 336 feet²
Hi I need help with this question please and thank you
given:
\(\begin{gathered} \sqrt[]{7x+5}=\sqrt[]{3x+8} \\ \end{gathered}\)To find 3/4 is a solution of the above given equation.
let us subsitute in value of x.
\(\begin{gathered} =\sqrt{7\cdot\frac{3}{4}+5} \\ =\sqrt{\frac{41}{4}} \\ \end{gathered}\)now,
\(\begin{gathered} =\sqrt{3\cdot\frac{3}{4}+8} \\ =\sqrt{\frac{41}{4}} \end{gathered}\)we get the same answer for the equation.
Thus 3/4 is a solution of the given equaion.
Yolanda paid $12.24 for a 6.35-kg bag of dog food. A few weeks later, she paid $13.99 for a 7.48-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
Step-by-step explanation:
First bag's unit price=$1.92 per kg Second bag's unit price=$1.87 per kg
The second bag is the better deal
Step-by-step explanation:
Divide the price by the weight to get the unit price per kg
The lowest number is the better buy
Most employers require their prospective employees to take a drug test. If the employee tests positive, that means the person uses illegal drugs. According to research (https://www.cbsnews.com/news/drug tests-not-immune-from-false positives/e), not all people that test positive actually use illegal drugs. Assume that 6% of prospective employees actually use illegal drugs. The false positive rate is 5% (person does NOT use illegal drugs, but they test positive), The false negative rate is 10% (person DOES use illegal drugs but they test negative), Draw and label a tree diagram (30 points) and answer the question below (MAKE SURE TO SHOW ALL WORK: (20 points) What percent of prospective employees who test positive actually use illegal drugs? Upload Choose a File
Approximately 53.47% of prospective employees who test positive actually use illegal drugs.
we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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distributive property to write an equation that's equivalent to -2(-6 +3y -1)
Answer:
-2(-6+3y-1) = -6y+14
Step-by-step explanation:
PLEASE HELP
The average pack of cigarettes purchase in California is
A.$8.40
B. $8.20
C. $8.50
D. $8:30
According to the California Cigarette & Tobacco Products Tax Law, the average pack of cigarettes purchase in California costs $8.40.
Option A.
The price of a cigarette in California has been on the rise for many years, owing to the state's aggressive anti-tobacco initiatives.
The state of California, like many other US states, has implemented measures aimed at discouraging smoking and the use of tobacco products, including the introduction of high taxes on cigarettes.
The tax imposed on tobacco products is intended to help cover the expenses of treating tobacco-related diseases, which cost the state millions of dollars every year.
The average cost of a pack of cigarettes in California has been steadily increasing over the years.
This can be attributed to a variety of factors, including higher tobacco taxes and anti-smoking legislation, as well as increased public awareness about the dangers of smoking and the impact it can have on one's health and wellbeing.
In conclusion, the average pack of cigarettes purchase in California is $8.40, as mandated by the state's Cigarette & Tobacco Products Tax Law.
This law, along with other anti-smoking initiatives, has been effective in reducing the prevalence of smoking and tobacco use in California over the years.
Option A.
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Jacob bought 7 shirts for $32.90. Kyle bought 12 shirts for $60.00.
Jacob paid _________ per shirt. (32.90 ÷ 7)
Kyle paid _______ per shirt (60 ÷ 12)
Kyle says that he paid less per shirt than Jacob. Is Kyle correct? Explain your answer.
Answer in complete sentences.
Jacob:
$32.90 ÷ 7 = $4.70 per shirt.
$4.70 per shirt.
Jacob paid $4.70 per shirt. (32.90 ÷ 7)
Kyle:
$60 ÷ 12 = $5 per shirt.
$5 per shirt
Kyle paid $5 per shirt (60 ÷ 12)
Kyle says that he paid less per shirt than Jacob. Is Kyle correct? Explain your answer.
Kyle is incorrect. $5 is more than $4.70.
$5 - $4.70 =
0.30 cent difference.
The area of a trapezoid can be found using the expression
1/2h(b1+b2)
where h is the height and b1 and b2 are the lengths of the bases
a trapezoid has a height of 12 units and bases or (2x+3) and (3x+1).
which expression represents the area of the trapezoid?
answer options:
5x+4
6x+3
30x+42
60x+48
The area of the trapezoid is 30x + 42. Option C
How to determine the expressionThe formula for calculating the area of a trapezoid is expressed as;
A = 1/2h(b1+b2)
Such that the parameters are enumerated as;
A is the areab1 and b2 are the bases of the trapezoidh is the height of the trapezoidNow, substitute the values, we get;
Area = 1/2 × 12(2x + 3 + 3x + 4)
collect the like terms, we have;
Area = 6(5x + 7)
Expand the bracket, we get;
Area = 30x + 42
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Show work
Perform the operations to simplify the expression:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)
A. 11x^5+3x^3 + 5
B. 11x^5 - 3x^3 - 5
C. -3x^5 + 22x^3 + 5
D. 3x^5 + 11x^1 + 5
Answer:
b.
Step-by-step explanation:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)
5x^5 + 4 - 2x^3 - 9 + 6x^5 - x^3
5x^5 + 6x^5 = 11x^5
-2x^3 - x^3 = -3x^3
+4 -9 = -5