total ages = 60
Generally, if the mode is 8 would mean there are more than one age of 8
suppose there are two with age 8,
leaving 44 for the other 4
(11 for the average of the remaining 4)
could have 9 and 13, and 8 and 14
so we could have:
8,8,8,9,13,14
or we could have:
8,8,9,10,12,13
check:of the 1st answer
mean = (8+8+8+9+13+14)/6 = 10
the mode is 8
you check the 2nd case
use division to find all the whole number ratios equivalent to 56 :24.
From the set {70, 20, 15}, use substitution to determine which value of x makes the equation true.
5x = 75
help please god bless
The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the median of the resulting data ?
A. H - 625
B.625 - h
C.h + 625
D.625 • h
Answer:
Hi!
The correct answer is A. h-625.
Step-by-step explanation:
If you have a dataset listed in ascending order:
[tex]A = \lbrace\ a_1, a_2, a_3,..., a_\frac{n}{2},..., a_n \rbrace[/tex]
[tex]median = a_\frac{n}{2}[/tex]
The value of the mean, if the dataset is even:
The value of that divides a data sample into two halves.The value of the mean, if the dataset is odd:
The average of the two middle values that divide a data sample into two halves.If we substract 625 to each value of the dataset:
[tex]A = \lbrace\ a_1 - 625, a_2 - 625, a_3 - 625,..., a_\frac{n}{2} - 625,..., a_n - 625 \rbrace[/tex]
[tex]median = a_\frac{n}{2} - 625[/tex]
The position of the middle value is the same before the subtraction of 625, then the median would be H - 625.
Can anyone give me the answer to 18.. Part A and B...if u can explain too please
Evaluate 2xy2xy when x=−14x=−14 and y=3y=3.
Diep is saving money so he can buy a used car in 12 months. The total cost of the car he wants is $1,450. Diep determines that he needs to save $120 each month to be able to afford the car, as shown below.
mc024-1.jpg
What error did Diep make?
There is a subtraction error. Diep will need to save less than $120 each month.
There is a subtraction error. Diep will need to save exactly $121 each month.
There is a multiplication error. Diep needs to save exactly $120.83 each month.
There is a multiplication error. Diep needs to save an average of mc024-2.jpg each month. Some months he needs to save $120.83 and other months he needs to save $120.84.
Answer:
The answer is D. There is a multiplication error. Diep needs to save an average of $120.833... each month. Some months he needs to save $120.83 and other months he needs to save $120.84
Step-by-step explanation:
589=7 times 84 + n ?
Solve 8x + 12 = 5x – 6. Show each step of your work.
What value does the 3 represent in the number 23,780,641
I need help on this question
4x−5y=24
Find the product (3p^4)^4×(p^2)^7
June bought 3 1/2 gallons of white paint at $17.50 per gallon and 1 3/4 gallons of blue paint at $19.00 per gallon.
What was her total cost?
What is the distance between points (5, 5) and (1, 5) on a coordinate plane
The sum of the digits of a two-digit number is 6. If the digits are reversed, the difference between the new number and the original number is 18. Find the original number
i will fail please help help !!!!! what is the greatest common factor of 1260 , 36 and 18
Solve. Which number is equivalent to the expression below?
│ 12 – 8 │
A. 4
B. -4
C. 20
D. -20
what is the difference between earth's highest mountain and its deepest ocean canyon? what is the difference between mars's highest mountain and its deepest canyon? which difference is greater? how much greater is it?
Melinda ate breakfast and wanted to leave her waitress a 20% tip her meal cost $7.50 How much money should Melinda leave for the tip
What fraction of 2 kg is 275g? Give your answer in simplest form.
Answer:
Step-by-step explanation:
1kg=1000g
2kg=2000g
275/2000=11/80g
A fraction is the representative of the part of a whole. The fraction that
275 grams represent in 2 kg is given by the number of 275 grams in 2 kg.
The fraction of 2 kg that is 275 g is [tex]\dfrac{11}{80}[/tex]
275 g is [tex]\underline{\dfrac{11}{80}}[/tex] parts of 2 kgReasons:
The required information; The fraction of 2 kg that is 275 g.
Solution:
First the values are expressed in the same unit of kilograms as follows;
275 g = 0.275 kg
Therefore, we get;
[tex]\dfrac{0.275 \, kg}{2 \, kg} = \dfrac{25 \times 11 \, g}{25 \times 80 \, g} = \dfrac{11}{80}[/tex]
Therefore;
275 g is [tex]\dfrac{11}{80}[/tex] of 2 kgLearn more here:
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Two points on a line are (3,8) and (-3,2). What is the slope of the line
The slope of the line passing through the points (3,8) and (-3,2) is 1
The slope of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
where m represents the slope
For the line passing through the points (3,8) and (-3,2).
x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2
Substitute x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2 into the slope formula above
[tex]m = \frac{2-8}{-3-3}\\\\m = \frac{-6}{-6} \\\\m = 1[/tex]
Therefore, the slope of the line passing through the points (3,8) and (-3,2) is 1
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Ken wants to rent a car for a week and pay no more than $130. How far can he drive if the car rental costs $94 a week plus $0.40 a mile?
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.03 margin of error and use a confidence level of 95%. Complete parts (a) through (c) below.
A.) Assume that nothing is known about the percentage to be estimated.
n=
B.)Assume prior studies have shown that about 55%
of full-time students earn bachelor's degrees in four years or less.
n=
c. Does the added knowledge in part (b) have much of an effect on the sample size?
The required sample size is [tex]1,068[/tex]
A) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.5[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.5(1-0.5)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.5(0.5)(65.33)^2\\\\n=0.25(4,268)[/tex]
[tex]n=1067.11[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1067.11[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1068[/tex]
Sample size, [tex]1068[/tex]
B) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.55[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.55(1-0.55)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.55(0.45)(65.33)^2\\\\n=0.2475(4,268)[/tex]
[tex]n=1056.44[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1056.44[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1057[/tex]
Sample size, [tex]1057[/tex]
C)The difference between both the part a and b is very less so added knowledge of the extra information does not have much effect on sample size.
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jason earns $20 per game as a referee in youth soccer games. write an expression to find out how much money jason will earn for refereeing abny number of games. let n represent the number of games Jason has refereed. How much will he earn for refereeing 6 games? please help
Decorations for school dances take 1/5 of the student council's budget. Entertainment takes 3/10 of the budget. What fraction of the budget is left?
PLEASE INCLUDE STEPS!!!!!
A flower bed has the shape of a rectangle 21 feet long and 9 feet wide. What is its area in square yards?
Answer:
21 square yards
Step-by-step explanation:
Let's remember that the formula of the area of a rectangle is A = L*W, where L is the length and W the width.
In this case, L = 21 feet and W = 9 feet.
Therefore, A = 21 feet * 9 feet = 189 square feet
We need the answer in square yards. We know that 1 feet equals 1/3 yard (1 feet = 1/3 yard)
As we need square yards, we just square the equation above.
1^2 square feet = (1/3) ^2 square yards
1 square feet = 1/9 square yards
The area is 189 square feet, so we just multiply by 189 on both sides to do the conversion to square yards.
189 square feet = 189*1/9 square yards
189 square feet = 21 square yards
The area of the flower bed is 21 square yards
The staff at the arcola country club prepares tables for a wedding reception they are able to prepare 6 tables in 45 minutes how many tables can the staff prepare in 4 hours
what is the value of y?
Circle the correct answers. y + 3.5 = 18 y = 14.5 y = 15.5
Translate the following sentence into Math symbols, then solve the problem
y more than 4 is -36
A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis. For every 3 kiwis, there are 4... A) Bananas B) Oranges C) Apples
Based on the information given, for every 3 kiwis, there'll be 4 bananas.
Number of bananas = 8
Number of oranges = 3
Number of apples = 5
Number of kiwis = 6
Since the question was that there are 3 kiwis, therefore we have to divide the other fruits by 2 as well. In this case, the number of bananas will be:
= 8/2 = 4
Therefore, from the information depicted above, for every 3 kiwis, there'll be 4 bananas.
In conclusion, the correct option is A.
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a minor league baseball team plays 114 games in a season. if the team won 14 more than three times as many games as they lost, how many wins and losses did the team have?
To solve this problem, we can set up an equation. Let L be the number of games lost by the team. We are told that the team won 14 more than three times the number of games they lost, so the number of games won is 3L + 14. The team lost 25 games and won 89 games.
Explanation:To solve this problem, we can set up an equation. Let L be the number of games lost by the team. We are told that the team won 14 more than three times the number of games they lost, so the number of games won is 3L + 14.
The total number of games played is the sum of the games won and the games lost, which is 114. So we have the equation:
(3L + 14) + L = 114
Simplifying the equation, we get:
4L + 14 = 114
Subtracting 14 from both sides, we have:
4L = 100
Dividing both sides by 4, we find that L = 25.
Therefore, the team lost 25 games. To find the number of wins, we can substitute the value of L into the equation we set up earlier:
3L + 14 = 3(25) + 14 = 75 + 14 = 89.
So the team had 89 wins and 25 losses.