PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT​

PLEASE HELP!A 95% Confidence Interval Is Found To Be (28, 32). The Sample Standard Deviation Is 7, And

Answers

Answer 1

Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

What is the margin of error of a confidence interval?

It is given by the following formula:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

More can be learned about margin of error at https://brainly.com/question/25779324

#SPJ1


Related Questions

Given m||n find the value of x.

Answers

Answer:

x =17

Step-by-step explanation:

The angles are supplementary so they add to 180

6x-20 + 6x - 4 = 180

12x -24 = 180

Add 24 to each side

12x-24+24 = 180+24

12x = 204

Divide by 12

12x/12 =204/12

x = 17

real fourth roots of -625

Answers

Answer:

-5

Step-by-step explanation:

[tex]\sqrt[4]{-625}[/tex]

=[tex]\sqrt[4]{-5*-5*-5*-5}[/tex]

=-5


Which ordered pair (p, r) is the solution to the given system of linear equations?
(5p - 3r = 1
8p + 6r= 4

Answers

Answer:

[tex](\frac{1}{3};\frac{2}{9})[/tex]

Step-by-step explanation:

[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]

Answer:

Its D

Step-by-step explanation:

Edge 2021

Surface Area of a Triangular Pyramid, please help!

Answers

Answer:

surface area of the triangular pyramid

=(1/2×9×7.8)+(3×1/2×9×12.3)

=35.1+166.05

=201.15 inch²


Jared bought a new amplifier for his guitar by borrowing the money from his mom. The amplifier cost $235. Jared is paying his mom back $18 each week. If Jared still owes his mom $73, how many weeks has he been paying her back?



Answers

Answer:

9 weeks

235 -73=162 (this is the amount he paid)

162/18=9 (he has been paying his mom for 9 weeks)

Answer:

9 weeks

Step-by-step explanation:

235-73 = 162 (how much he has paid her thus far)

162/18 (how many times he payed her) = 9

A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?

Answers

Given:

A spinner is divided into 8 equal sections  where 3 are black, 4 are yellow, and 1 is red.

To find:

The probability of it landing either on a yellow or a red section.

Solution:

We have,

Total number of sections = 8

Black sections = 3

Yellow sections = 4

Red sections = 1

Now,

Either yellow or red sections = 4 + 1

                                                = 5

Now, the probability of it landing either on a yellow or a red section is:

[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]

[tex]\text{Required probability}=\dfrac{5}{8}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].

A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.

Answers

the answer is 16.0 or 11.0

(x+3)(x−1)
Cual seria su resultado

Answers

Answer:

x² -1x + 3x -3

= x² +2x -3

hope it helps

Find the quotient.
2^3/2^-1

Answers

Answer:

-4

Step-by-step explanation:

2^3 = 2 * 2 * 2 = 8

2^-1 = -2 = -2

2^3/2^-1 = 8/-2

=> 4/-1

=> -4

Hope it helps :)

Answer:

2^4 (or) 16

Step-by-step explanation:

2^3=2×2×2=8

2^-1 = 1/2

2^3/2^-1 = 8/(1/2) = 8×2 = 16

alternative method:

2^3/2^-1 = 2^(3-(-1))

= 2^(3+1)

= 2^4

= 16

Find the perimeter of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HURRY ITS URGENT

Answers

Answer: My teacher told me to use 180 and divide something.

Step-by-step explanation:

Answer:

isnt itjust 15?

Step-by-step explanation:

1 +1+1+1 = 4  5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry

of the 10 people attending a seminar, 5 have gray hair.
What is the probability that a randomly selected person will have gray hair?

Answers

Answer:

1/2

Step-by-step explanation:

So we know that there is a total of 10 people.

5 of these have grey hair.

To find the chances of a somone having grey hair, we need to divide people with grey hair over total people:

[tex]\frac{value}{total} =probability[/tex]

This is the same division we use to find things such as percentage and ratio as well.

Now lets plug in our numbers and solve:

[tex]\frac{5}{10}=\frac{1}{2}[/tex]

So half of the people have grey hair.

Or(in percentage):

The probability is 50% that someone will have grey hair.

Hope this hepls!

1/2 of the people have gray hair

Can someone help me again with these math work?

Answers

Answer:

it look like its 4 and the 4 over 4/5 I think

Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$690​, how many of each denomination does he​ have?
How many $10 coins does he have?
How many $20 coins does he have?

Answers

He has twenty nine $10 coins and twenty $20 coins

Let x be number of $10 coins and y be number of $20 coins
x + y = 49. Number of coins
10x + 20y = 690. Value of coins

Multiply the first equation by 10
10x + 10y = 490

Subtract from the second equation
10y = 200
y = 20

Substitute into equation 1
x + 20 = 49
x = 29

SOLVE EQUATION BY TAKING SQAURE ROOTS.
64m^2 -5 = 76

Answers

Answer:

m=9/8

Step-by-step explanation:

64m^2 -5=76

64m^2 =76+5

64m^2=81

m^2=81/64

m=[tex]\sqrt{81/64}[/tex]

m=9/8

Step-by-step explanation:

64m²-5=76

64m²-5+5=76+5

64m²=81

m²=64/81

m=

[tex] \sqrt{64/81} [/tex]

m=8/9

nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.

Answers

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

What is the value of X?

Answers

Answer:

The answer is 46'

Step-by-step explanation:

The first triangle is:85'+53'+Y=180' so y=42'

The second triangle with X is:92+42'+X=180' so X=46'

the answer is 46

nmwmemdmenmrmrnrf

please help! (listing BRAINLIST and giving points) ​

Answers

Answer:

Step-by-step explanation:

sin x = opposite / hypotenuse

sin x = b / c

cos x = adjacent / hypotenuse

cos x = a / c

tan x = opposite / adjacent

tan x = b / a

I need help seeing what I did wrong

Answers

Answer:  The two roots are x = 3/2 and x = -2

=========================================================

Explanation:

You have the right idea so far. But the two numbers should be 3 and -4 since

3*(-4) = -123+(-4) = -1

The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

---------

Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x

So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

We have the factor 2x-3 along the left side.

---------

The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

2x-3 = 0 solves to x = 3/2 = 1.5-x-2 = 0 solves to x = -2

The two roots are x = 3/2 and x = -2

Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?

Answers

1 1/3 yards of fabric per shirt

Explanation:
Unit rate is a rate per 1

If you want to find the unit rate of yards per shirt, you do 4 2/3 divided by 3 1/2

Meanwhile if you want to find the unit rate of SHIRTS per yards of fabric, you do 3 1/2 divided by 4 2/3

IN THIS CASE, we will use the unit rate YARDS PER SHIRT:

4 2/3 ÷ 3 1/2
= 14/3 x 2/7
= 28/21
=1 1/3

Hope this helps!

evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1​

Answers

Answer:

the answer is 12

Step-by-step explanation:

7x-2y-1. x=3. y=4

7×3-2×4-1

=21-8-1

=12

3. What is the value of LC in the diagram?
A
4x
(2x
B
3x
С
O A. 90°
O B. 60°
O C. 80°
OD. 40°

Answers

Answer: B

Step-by-step explanation:

4x+3x+2x=180

9x = 180

x = 20

20x3 = 60

help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards

Answers

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

please answer thank you​

Answers

Answer:

1536 m²

Step-by-step explanation:

To find the area of the lateral faces, calculate the height of a lateral face first.

The height of a lateral face = S

The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.

[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]

[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]

[tex] = \sqrt{400} [/tex]

= 20 m

Total surface area of a pyramid

= total surface area of lateral faces + base area

Area of 1 lateral face

= (base × height) ÷ 2

= (24×20)÷2

= 240 m²

Total surface area of the pyramid

= 240×4 + 24×24

= 1536 m²

Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).​

Answers

Answer:

C

Step-by-step explanation:

A p e x

Answer:

the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)

Step-by-step explanation:

i just took the test

A newborn weighs 7 lb and 13 oz. How many grams (g) does he weigh?

Answers

Answer:

69

Step-by-step explanation:

pls help on number 6!!

Answers

Answer:

729 cubic feet

Step-by-step explanation:

anyone can help with this ?

Answers

Answer:

The first one : x^2 - 8x + 15 sq ft

Step-by-step explanation:

To find the ares you need to multipy L and W : (x - 3) x ( x - 5)

(x - 3) x ( x - 5)

(x times x) - ( 3x + 5x) + ( 5 x 3)

=x^2 - 8x + 15

If this helps you, please give brainliest!

Answer:

(x-3)(x-5)=x^2-5x-3x+15=x^2-8x+15

Step-by-step explanation:

Because the patio is a rectangle, so it's area is I.w=(x-3)(x-5)

Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9?

Answers

Answer:

[tex](a)\ 6m(3m + 21) = 9(2m^2 + 14m)[/tex]

(b) Yes, it is divisible by 9

Step-by-step explanation:

Given

[tex]6m(3m + 21)[/tex]

Solving (a): Complete the blanks

[tex]6m(3m + 21) = 9 [\ ][/tex]

Expand the bracket

[tex]6m(3[m + 7]) = 9 [\ ][/tex]

[tex]6m*3(m + 7) = 9 [\ ][/tex]

Express 6m as 2m * 3

[tex]2m*3*3(m + 7) = 9 [\ ][/tex]

[tex]2m*9(m + 7) = 9 [\ ][/tex]

Rewrite as:

[tex]9 * 2m(m + 7) = 9 [\ ][/tex]

Multiply the bracket by 2m

[tex]9 * (2m^2 + 14m) = 9 [\ ][/tex]

Divide both sides by 9

[tex]2m^2 + 14m = [\ ][/tex]

Hence, the bracket will be filled with: [tex]2m^2 + 14m[/tex]

So:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

Solving (b): Is [tex]6m(3m + 21)[/tex] divisible by 9?

In (a), we have:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

The leading factor "9" implies that the expression is divisible by 9

please help me please i really need help please

Answers

Step-by-step explanation:

right answer

...... y= 1/2x²

Step 5: Mathematics Problem 10 of 10 Question: The variables x and y are directly proportional, and y = 4 when = 3. What is the value of y when 15? А. B. 12 C16 D. 20 E. I don't know d O ype here to search​

Answers

Step-by-step explanation:

y=kx

4=k*3,4=3k,4/3=k.to find y when X is 15 ,y=kx,y=4/3*15=60/3=20

Other Questions
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