The average score of a sample of 87 senior business majors at UTC who took the Graduate Management Admission Test was 510 with a standard deviation of sample 36. Provide a 98% confidence interval for the mean of the population.

Answers

Answer 1

Answer:

500.85 to 519.15

Step-by-step explanation:

The computation is shown below;

The z value for the 98% confidence interval is 2.33

Now the margin of error is

= (z × standard deviation) ÷ √n

= (2.33 × 36) ÷ √87

= (83.88 ) ÷ √87

= 83.88 ÷ 9.327379

= 8.99

= 9

Now The confidence interval mean is

= (510 - 9) (510 +9)

= (501) ; (519)


Related Questions

What is the check digit (d) for the UPC barcode number
2-91273-05213-d?
A. 5
B. 7
C. 9
D. 0

Answers

Answer:

c edg 2020

Step-by-step explanation:

Gothcu

What are the solutions of 3b + 12 > 27 – 2b

Answers

Answer:

b > 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

3b + 12 > 27 - 2b

Step 2: Solve for b

Add 2b on both sides:                    5b + 12 > 27Subtract 12 on both sides:              5b > 15Divide 5 on both sides:                   b > 3

Here we see that any value b greater than 3 would work as a solution to the inequality.

I need help with all of them. Please look at the picture. Thanks.

Answers

To find your answer in this problem you divide your miles and how many hours
1. 7
2.6
3. 7
4.8

HELP ME PLEASE AND THANK YOU..

Answers

After two weeks she will have $60, after 6 she’ll have $180, jenna’s rate of change is $30 per week

Imagine your playing a game, you are currently level 5 and it takes 55 EXP to level up to level 6, each battle you fight you gain 3 EXP, how many battles would it take to level up? you don't have to show your work :).

Answers

Step-by-step explanation:

55 / 3 = 18.333.

Since it is a decimal, we round up to the nearest whole number.

It will take at least 19 battles to level up.

Answer:

Step-by-step explanation:

so divide 55 / 3 = 18.33333333  or 18 1/3 but.. you'll have to battle 19 times to level up

HELP ME THIS IS IMPORTANT !!! Look at the image

Answers

Answer:

D

Step-by-step explanation:

her value is greater

Which linear inequality is represented by the graph?

Answers

Answer:

Second answer is the correct answer

Help help help ASAP!!!!Use the distributive property to write an equivalent expression

Answers

Answer:

60r+70

Step-by-step explanation:

If you distribute the 10 to 6r and 7 you would get 60r and 70. Thats what I got

Answer: 60r+70

Step-by-step explanation:

=(10) (6r+7)

=(10) (6r)+(10) (7)

=60r+70

Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride. What is Johnny's total cost if he buys 17 containers of slime, including the Uber ride?

Answers

Answer:

Total cost will be $45 if he buys 17 containers of slime, including the Uber ride.

Step-by-step explanation:

Cost of one container of slime = $5

Cost of Uber = $10

We need to write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.

Total cost = Cost of slime containers + Cost of Uber

Total Cost = 5s+10

So, the required equation is: [tex]Total\: Cost = 5s+10[/tex]

Now, we need to find What is Johnny's total cost if he buys 17 containers of slime, including the Uber ride?

We have s= 17

So, the cost of buying 17 containers of slime and Uber ride will be:

[tex]Total\: Cost = 5s+10\\Put\:s=17\\Total\: Cost = 5(7)+10\\Total\: Cost = 35+10\\Total\: Cost = 45[/tex]

So, Total cost will be $45 if he buys 17 containers of slime, including the Uber ride.

Find the distance between A and B

Answers

Answer:

26

Step-by-step explanation:

13+13=26

I need help asap please

Answers

Answer:

127.1

Step-by-step explanation:

This is easy, if you see the hundredth 0.07, that is above 5 so it rounds up to become 0.1 tenth, normally we check for things like 0.003 in the thousandth, but here it is less than 5 so it does nothing, not to mention it wouldnt change the outcome

I need help please!:D

Answers

Answer:

5/10= 1/2            4/12=1/3

3/9= 1/3

Step-by-step explanation:

Answer:

5/10 = 1/2

4/12 = 1/3

3/9 = 1/3

i believe these are the answers

A ball is thrown straight up in the air at a velocity
of 100 feet per second. The height of the ball at t seconds
is given by the formula: h = 100t – 5t^2 Find the
maximum height of the ball and when it will land. Maximum Height ____ ft. Land after: ___ seconds

Answers

Answer:

Maximum height = 500 feet

Land after = 20 seconds

Step-by-step explanation:

Let us follow the movement of the ball as it is thrown upwards.  We notice that we get to a point, where the change in the height of the ball with respect to time becomes = 0. This means that the ball is at its maximum position.

Hence, mathematically, at maximum height, [tex]dh/dt = 0[/tex]

Recall,

[tex]h = 100t - 5t^2[/tex]

[tex]dh/dt=100-10t[/tex]

From our problem, we can also deduce that at the maximum height, the velocity of the ball is = 0. i.e [tex]dh/dt = 0[/tex]

hence,

[tex]0 = 100-10t\\t =10 seconds[/tex]

The time the ball takes to reach a maximum height is 10 seconds.

The next step will be to substitute this time value into the equation for the height.

[tex]h = 100(10) -5(10)^2=500 feet[/tex]

The maximum height is 500 feet

The object will land after t X 2 seconds = 10 X 2 = 20 seconds. This is because it will have to go up and come back down. This should take twice the time.

The length of a room is 2 times it breadth and 5 times it height. If
the volume of the room is 800m3, find the cost of papering its
walls at Rs. 6 Per m2?​

Answers

Answer:

please mark as brainliest!!!!

Step-by-step explanation:

https://brainly.in/question/14506690

15. If f(x) = -x2 + 2x, find f(3) - 7.

Answers

Answer:

-10

Step-by-step explanation:

Find f(x) = - x^2 + 2x first

f(3) = -(3)^2 + 2(3)

f(3) = - 9 + 6

f(3) = - 3

Now do f(3) - 7

f(3) - 7 = - 3 - 7

f(3) - 7 = - 10

Could someone help me and when you answer could you explain so I know you’re telling the truth

Answers

Answer:

3rd answer choice

Step-by-step explanation:

The problem says "no more than" so automatically the first and second answer choices are wrong

Now looking at the last choice, it subtracts 5, but 5 shouldn't be subtracted since all of Janet's purchases should be combined. So that just leaves the third choice

Answer:

3y+5 ≤ 17

Step-by-step explanation:

ok so we need she is buying a certain amount of markers but we don't know exactly how many so it would be 3y

we also know that she brought ONE notebook for 5 dollars which is why it would be 3y + 5

because the total amount will soon add up

now the reason it is ≤ 17

is because the symbol "≤" means less than or equal to

she did NOT spend MORE than 17 but we do not know if she spent exactly 17 or less.

The sum of two numbers is 19. The difference is 9. What are the two numbers?

Answers

Answer:

the two numbers are 8 and 8

Answer:

The 2 numbers for the sum are 9 and 10

3. Farhana goes to McDonald's with her friends. They buy 2 Big
Macs, 1 Chicken Nuggets, 3 French Fries and 3 Cokes. McDonald's
also charges 8.25% sales tax. How much will Farhana and her
friends pay for the meal, including taxes. If Farhana pays the
cashier $60, how much change will she get back?

Answers

25 is your answer , thanks

For each equation, determine whether it is linear.

(a) y=x-6
(b) y= 4x
(C) y= 3x2-4
(d) y=-x)

Answers

Answer:

b

Step-by-step explanation:

solve for rational algebraic equation.

Answers

Step-by-step explanation:

Taking the provided equation ,

[tex]\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} [/tex]

1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)

[tex]\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} [/tex]

2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .

[tex]\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)[/tex]

3) Multiplying the expressions.

[tex] \implies 5(3x^2+13x+2) = 40x + 120 [/tex]

4) Opening the brackets .

[tex]\implies 15x^2+ 65x + 10 = 40x + 120 [/tex]

5) Transposing all terms to Left Hand Side .

[tex]\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0[/tex]

6) Solving the quadratic equation .

[tex]\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}[/tex]

Answer:

[tex]x=2\\x=-\frac{11}{3}[/tex]

Step-by-step explanation:

Solve the rational equation:

[tex]\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}[/tex]

To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):

[tex]\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}[/tex]

Operate and simplify:

[tex]\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)[/tex]

[tex]\displaystyle 3x^2+4x+9x+12-10=8x+24[/tex]

Rearranging:

[tex]\displaystyle 3x^2+4x+9x+12-10-8x-24=0[/tex]

Simplifying:

[tex]\displaystyle 3x^2+5x-22=0[/tex]

Rewrite:

[tex]\displaystyle 3x^2-6x+11x-22=0[/tex]

Factoring:

[tex]\displaystyle 3x(x-2)+11(x-2)=0[/tex]

[tex]\displaystyle (x-2)(3x+11)=0[/tex]

Solving:

[tex]x=2\\x=-\frac{11}{3}[/tex]


Write each as a percent.
13. 1/8
14. 2/3
15. 2 1/10
16. 87/100

Answers

Answer:

Concept: % Values

12.5% 66.6%210%87%

How many times will 1/5 go into 37?

Answers

Answer:

185 times

Step-by-step explanation:

Answer:

185 times

Step-by-step explanation:

Just look it up

A single die is rolled twice. Find the probability of rolling a 2 the first time and a 4 the second time

Answers

Answer:  1/36

Explanation:

The probability of rolling a "2" is 1/6

The probability of rolling a "4" is also 1/6

Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.

The probability of rolling a 2 the first time and a 4 the second time is 1/36

There are 6 faces on a die.

Of these 6 faces, one of them is 2 and one of them is 4

So, the probabilities of rolling a 2 and a 4 are:

P(2) = 1/6

P(4) = 1/6

The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:

[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]

This gives

[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]

Multiply

[tex]\mathbf{Pr = \frac 1{36}}[/tex]

Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36

Read more about probabilities at:

https://brainly.com/question/11234923

Find the value of the x in the equation 4(6x-9.5)=46

Answers

Answer:

X= 3.5

Step-by-step explanation:

4(6x-9.5)=46

24x-38=46

X=3.5

given the proportion 3/2 = 4/x, what steps should your teacher take to solve for x? answer in 2-3 sentences

Answers

Answer:

x=8/3

Step-by-step explanation:

1. 3/2=4/x [Rewrite the eqaution]

2. 3x=8[Cross multiply]

3. x=8/3[Just divide]

Express the number 6.13 x 10
in decimal notation.

Answers

Answer:

I think its 61.3

Step-by-step explanation:

dont be mad if its wrong. also 10 has one zero so you move the decimal place once to the right

61.3

because you would move the decimal over.

Without the aid of technology, what is element e23 of the product of G. H? G 3 2 15 0.5 H = [5 -3.5 005) -1 0.5 5 -3.5 4​

Answers

Answer:

45 pine tree. 5 5.01 - 2, 500 5.3 - 5 equal 80508 15233?. g of product of 3/8 to 8 elements is what technology of a day weather

please someone help me

Answers

6 weeks until she reaches 60 kilo

9. The accepted temperature of a refrigerator is 38.0 F. A temperature sensor is tested 10 times in the refrigerator. The temperatures from the test yield the temperatures (in degrees F) of: 37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3. Is the distribution of values from the test: accurate (yes or no), precise (yes or no).

Answers

Answer:

The answer is "Their values are reliable or accurate in the distribution of the test".

Step-by-step explanation:

Given temperature:

[tex]37.8, \ 38.3, \ 38.1, \ 38.0, \ 37.6, \ 38.2, \ 38.0, \ 38.0, \ 37.4, \ 38.3[/tex]

Calculating the average value temperature:

[tex]\to \frac{37.8 + 38.3 + 38.1 + 38.0 + 37.6+ 38.2+ 38.0+ 38.0+37.4+ 38.3}{10}[/tex]

[tex]\to \frac{379.7}{10}\\\\\to 37.97\\\\\to 38[/tex]

Equivalent ratio to 12:6

Answers

Answer:

24 : 12,       36 : 18,        48 : 24.

Step-by-step explanation:

hope this helps :)

Answer:

24:12

Step-by-step explanation:

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