Find the minimum sample size n needed to estimate μ for the given values of​ c, σ​, and E. c=0.98​, σ=8.7​, and E=

Answers

Answer 1

Answer:

The sample size n will be "52".

Step-by-step explanation:

The given values are:

c = 0.98​

σ = 8.7

Margin of error

E = 2

[tex]Z_{\frac{\alpha}{2} }=Z_{\frac{0.1}{2} }=1.65[/tex]

For 90% confidence level:

⇒  [tex]n=[\frac{Z_{\frac{\alpha}{2}}\times \sigma}{E} ]^2[/tex]

⇒     [tex]=[\frac{1.65\times 8.7}{2} ]^2[/tex]

⇒     [tex]=51.5165[/tex]

i.e.,

⇒  [tex]n=52[/tex]


Related Questions

Which expression is equivalent to 2(3x-8)?​

Answers

Answer:

6x-16

Step-by-step explanation:

2(3x-8)

distribute the 2

2 x 3x = 6x

2 x -8 = -16

Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?​

Answers

Answer: $150.00

Step-by-step explanation:

3+10=13

13+30=43

43+7=50

100+50=150

Answer:

Did you have 10 dollars??

The diagram shows a window in the shape of a square. Each side of the measures 8 √5 centimeters, and the area of the square is 32x square centimeters. What is the value of x?

Answers

Answer:

x = 10  

Step-by-step explanation:

recall that for a square with side length "L", the area of the square can be expressed as

Area = L x L

or

Area = L²

in this case we are given that Area, A = 32x

and that Side Length, L = 8√5

If we substitute these into the equation, we will get:

Area = L²

32x = (8√5)²   (using the properticals of exponents, we can re-write the right side)

32x = (8)² · (√5)²  

32x = 64 · 5

32x = 320   (divide both sides by 32)

x = 320 / 32

x = 10  

(8,10),(-7,14)
The slope of the line

Answers

Answer:

-4/15

Step-by-step explanation:

I used my graphing calculator.

It is -4/15,
because I graphed it out.

How do you do this question?

Answers

Answer:

Diverges

Step-by-step explanation:

The order of the numerator (2) is greater than the order of the denominator (1).  So the sequence will diverge as n approaches infinity.

A fitness center introduces two membership plans. The first plan charges $27 per month plus a $22 enrollment fee. The second plan charges $30 per month plus a $10 enrollment fee. Which of the following solution sets shows the number of months during which the first plan is less expensive?

Answers

Answer:

hrjejejdbbbhjjiiiiuhvbbdbwnjwkwksk

help im stuck pls -- Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.

Answers

Answer:

9.9%

Step-by-step explanation:

Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

[tex]\frac{222}{2222} =0.09999...\\[/tex]

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

9.9%, which could be rounded to 10% or 9%.

Given x∥y and m∠3=124° . WILL GIVE BRAINLIEST PLEEEASSEEE

What is m∠8?

Enter your answer in the box.

m∠8 =

Answers

Answer:

m<8 = 26°

Step-by-step explanation:

Given:

m<3 = 124°

Required:

m<8

SOLUTION:

Find m<4.

m<4 + m<3 = 180° (linear pair)

m<4 + 124° = 180°

m<4 + 124° - 124° = 180 - 124°

m<4 = 26°

Find m<8:

m<8 = m<4 (corresponding angles)

m<8 = 26° (substitution)

How many different 2-scoop combinations can you make if you are choosing among 4 different flavors?

Answers

Answer:

8

Step-by-step explanation:

4x2

How do you write 1.8 × 10^1 in standard form?

Answers

Answer:

probable as

1.8 × 10 = 18

brainliest ig?

hhhh5hhhhhhhhhhhhhhhhhhh

Answers

Answer:

Answer

Ammmm did u just gave free points

angles a and b are complementary angles. If m A = (3x + 9)° and m
ZB = (x - 11)°, then find the measure of angle a

Answers

Answer:

78°

Step-by-step explanation:

Since, angles A and B are complementary.

[tex]\therefore m\angle A + m\angle B = 90\degree \\

\therefore (3x+9)\degree + (x - 11)\degree = 90\degree \\

\therefore (3x +x +9-11)\degree = 90\degree \\

\therefore (4x - 2)\degree = 90\degree \\

\therefore 4x - 2 = 90\\

4x = 90+2\\

4x = 92\\ \\ x = \frac{92}{4} \\ \\ x = 23 \\ \\ \because m\angle A = (3x+9)\degree \\ \therefore \: m\angle A = (3 \times 23+9)\degree \\ \therefore \: m\angle A = (69+9)\degree \\ \huge \red{ \boxed{ \therefore \: m\angle A = 78\degree }}[/tex]

For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. Click on the datafile logo to reference the data. (a) Choose the correct time series plot. (i) (ii) (iii) (iv) - Select your answer - What type of pattern exists in the data? - Select your answer - (b) Compare a three-month moving average forecast with an exponential smoothing forecast for α = 0.2. Which provides the better forecasts using MSE as the measure of model accuracy? Do not round your interim computations and round your final answers to three decimal places. Three-month Moving Average Exponential smoothing MSE - Select your answer - (c) What is the forecast for next month? If required, round your answer to two decimal places.

Answers

explanation:

1. What type of pattern exists in the data

the data has the horizontal pattern

2. for moving average

mse = 11.11/9

= 1.23

for exponential smoothing forecast

mse = 39.11/11

= 3.56

3. we are to calculate the forecast for next month

83+84+83/3

= 83.33

I'm finding it difficult to add an attachment to my answer. The editor has not been working properly today, or it's probably an internet issue.

what is the reciprocal of 8​

Answers

Answer:

0.125

Step-by-step explanation:

to get the reciprocal of a number we divide the number by 1

in this case it would be 1 divide by 8

1/8 = 0.125

Simplify 9 + (-2)^3
3
1
17

Answers

The answer is 3. Multiply first so -2^3 which is -6. Then you combine 9 and -6 to get 3.

Answer: -72

Step-by-step explanation:

I need some more help I don’t know how to do my apex math:(

Answers

The answer is A.
For an equation to be vertically compressed it has to be less than 1

How do you do this question?

Answers

Part 1

[tex]x = g(y), \ c \le y \le d\\\\\\x = 3+4y^2, \ 1 \le y \le 2\\\\\\\frac{dx}{dy} = 8y, \ 1 \le y \le 2\\\\\\\displaystyle A = 2\pi \int_{c}^{d}y\sqrt{1+[g'(y)]^2}dy\\\\\\\displaystyle A = 2\pi \int_{c}^{d}y\sqrt{1+\left[\frac{dx}{dy}\right]^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}y\sqrt{1+(8y)^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}y\sqrt{1+64y^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}\sqrt{1+64y^2}*ydy\\\\\\\displaystyle A = 2\pi \int_{65}^{257}\sqrt{u}*\frac{du}{128}\\\\\\[/tex]

In the last two steps I let u = 1+64y^2, so du/dy = 128y which leads to ydy = du/128.

Note the change in the limits of integration. If y = 1, then u = 1+64y^2 = 65. If y = 2, then 1+64y^2 = 257

----------------------------

Part 2

[tex]\displaystyle A = 2\pi \int_{65}^{257}\sqrt{u}*\frac{du}{128}\\\\\\\displaystyle A = 2\pi*\frac{1}{128}\int_{65}^{257}u^{1/2}*du\\\\\\\displaystyle A = \frac{\pi}{64}\int_{65}^{257}u^{1/2}*du\\\\\\\displaystyle A = \frac{\pi}{64}\left(\frac{2}{3}u^{3/2}+C\right)\Bigg]_{65}^{257}\\\\\\\displaystyle A = \frac{\pi}{64}\left(\left(\frac{2}{3}(257)^{3/2}+C\right)-\left(\frac{2}{3}(65)^{3/2}+C\right)\right)\\\\\\\displaystyle A = \frac{\pi}{64}*\frac{2}{3}\left((257)^{3/2}-(65)^{3/2}\right)\\\\\\[/tex]

----------------------------

Part 3

[tex]\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^3}-\sqrt{65^3}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^2*257}-\sqrt{65^2*65}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^2}*\sqrt{257}-\sqrt{65^2}*\sqrt{65}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(257\sqrt{257}-65\sqrt{65}\right)\\\\\\[/tex]

[tex]\displaystyle A = \frac{\pi}{96}*257\sqrt{257}-\frac{\pi}{96}*65\sqrt{65}\\\\\\\displaystyle A = \frac{257\pi\sqrt{257}}{96}-\frac{65\pi\sqrt{65}}{96}\\\\\\\displaystyle A = \frac{-65\sqrt{65}\pi}{96}+\frac{257\sqrt{257}\pi}{96}\\\\\\[/tex]

A trainer advises an athlete to keep his heart rate under 140 beats per minute.​

Answers

What’s the question??

The variable that was defined and the corresponding inequality to depict the constraints is; r < 140 beats per minute.

How to Write Inequalities?

We are to define a variable and write an inequality for the given question.

Now, since the variable here is the heart rate, then let us define the varibale with the term r.

Thus, the inequality that represens the given question is written as;

r < 140 beats per minute.

Read more about Inequalities at; https://brainly.com/question/25275758

#SPJ2

The graph below is the graph of a function.


A True
B. False

Answers

Answer:False

Step-by-step explanation:

Failed vertical line test

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if the order has 22 items?

Answers

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor                            Coefficient

Constant                             3.0979

Square root of items          2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

[tex]\hat{y}=3.0979+2.7633x[/tex]

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

[tex]\hat{y}=3.0979+2.7633(22)[/tex]

[tex]\hat{y}=63.8905[/tex]

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Answer:

this doesnt even relate to the answer. blasphomy.

Step-by-step explanation:

simplify 8x+7-2x-4 completley

Answers

Answer:

8x + 7 - 2x - 4

8x + (-2x) = 6x

7 + -4 = 3

Final Answer= 6x + 3

What is the theoretical probability of selecting a
king from a standard deck of 52 playing cards?
1/13
1/4
4/13
4

Answers

1/13

There are 4 kings per 52 playing cards, with a ratio of
4/52
Simply both sides by 4
1/13
Good luck cheaters

Answer:

The first part is: 1/13

The second part is: 9/20

Step-by-step explanation:

1. Write an algebraic expression for the sum of three coins and c coins.
A. C+3
B. C/3
C. 3c
D. C-3

2. Use mental math to solve the equation.

Z/-12 = -5

A. 7
B. -60
C. -17
D. 60

3.Estimate the solution of the equation x-8.1= 5.3 to the nearest whole number.

A. About 13
B. About 14
C. About 4
D. About 3

4. Solve the equation

14 = t-44

A. -30
B. -58
C. 30
D. 58

-3 = j + 50

A. 80
B. 20
C. -1500
D. -80

2.8x = -9.24

A. 12.04
B. -0.3030
C. -3.3
D. -12.04

5.8 = z/2.2

A. 127.6
B. 0.37
C. 3.7
D. 12.76

Answers

Answer:

1 Is A

2 is B

3 is A

4a is D

4b is -53 but that's not an answer choice

4c is C

4d is D

PLZ HELP FAST looks easy​

Answers

Answer:

45

90

135

180

225

Step-by-step explanation:

It represents a function because each element in the domain is matched with exactly one element in the range.

I don’t get it ? How are you supposed to do it

PLEASE ANSWER ASAP Michael read 14 books in 26 months. At the same rate, about how many books can he read in 48 months?

Answers

Answer:

Well, lets break this down.

If you try to add 26 + 26 it would be 52, which is above 48.

So, we have to find how many books he can read in one month.

All we have to do, is divide!

14 = dividend

26 = divisor

Step 1:

Start by setting it up with the divisor 26 on the left side and the dividend 14 on the right side like this:

26⟌14 Then do the rest, ill wait.

once you have a answer, that is how much he reads a month.

now multiply by 48.

3/4+7/8 what is the value of the answere

Answers

Answer with step-by-step explanation:

3/4 converted into 8ths is 6/8. When you add up 6/8 + 7/8, you end up with the answer of 13/8

Hope this was helpful! (brainliest please)

Answer:

Step-by-step explanation:

3/4 + 7/8

Make them have common denominators:

3/4 = 6/8

so...

6/8 + 7/8 = 13/8

Suppose that a computer chip company has just shipped computer chips to a computer company.​ Unfortunately, of the chips are defective. ​(a) Compute the probability that two randomly selected chips are defective using conditional probability. ​(b) The probability that the first randomly selected chip is defective is . Compute the probability that two randomly selected chips are defective under the assumption of independent events. ​(a) The probability is nothing. ​(Round to eight decimal places as​ needed.)

Answers

Answer:

(a) 0.0000245

(b) 0.000025

Step-by-step explanation:

The complete question is:

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is  50 /10,000  = 0.005.  Compute the probability that two randomly selected chips are defective under the assumption of independent events.

Solution:

(a)

In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.

The probability of selecting the first defective chip is:

[tex]P(1D)=\frac{50}{10000}=0.005[/tex]

Now there are 9999 chips left and 49 defective chips among them.

The probability of selecting the second defective chip is:

[tex]P(2D)=\frac{49}{9999}=0.0049[/tex]

Compute the probability that two randomly selected chips are defective using conditional probability as follows:

P (Two defective chips) [tex]=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245[/tex]

Thus, the answer is 0.0000245.

(b)

Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:

The above statement implies that the selection was done with replacement.

The probability is:

P (Two defective chips) [tex]=P(1D)\times P(2D)[/tex]

                                      [tex]=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025[/tex]

Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.

find the difference 67 -43​

Answers

Answer:

Here's how to solve

Step-by-step explanation:

67-43.

7-3=4

6-4=2

so 24 and to check if it is correct substitute 24 in the equation

24+43= 67

24 is your answer

Answer:

[tex]67 - 43 \\ \\ = 24 \\ then \\ 24 + 43 \\ = 67 \\ now \\ [/tex]

The length of a rectangle is four times its width. if the perimeter of the rectangle is 90 cm, find its length and width

Answers

Answer:

length 36, width, 9.

Step-by-step explanation:

you are trying to find "X" and it's 4 times the size of y, the whole thing is equal to 90. it would look like this

y=4x

y(4x) + x = 90

5x=90

90/5= 18

the rest is the "y" value, 72.

divide both by 2 because rectangles have 4 sides, and you get the answer above.


Write 173,200 in scientific notation.

Answers

Answer:

1.73 * 10^5

Step-by-step explanation:

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