Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500

Answers

Answer 1

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

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

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.


Related Questions

which of the following numbers is a prime number greater than 23?
a)17 b)24 c)25 d)29 please no links​

Answers

your answer is going to be d)29

Mason made 5 quarts of salsa. Which of the following can be used to find the number of cups of salsa Mason made.

A: 5x2x5
B: 5x4x4
C: 5 divided by 2 divided by 2
D: 5x4 divided by 2

Answers

Answer:

A

Step-by-step explanation:

The product of a number and 3 increased by 9 is less than -42


TRANSLATE

Answers

Answer:

3x+9 < - 42

Step-by-step explanation:

Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points

Answers

Answer:

Step-by-step explanation:

The inequality Equation =

42 + 5x < 60

To stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Step-by-step explanation:

Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Let the number of gigabytes = x

Under $60 means less than $60

The inequality =

$42 + $5×x < $60

42 + 5x < 60

Solving for x

42 + 5x < 60

5x < 60 - 42

5x < 18

x < 18/5

x < 3.6 Giga bytes

Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes

If f(x)=x^2-1 Find f(-3) f(0) f(2) f(a) and f(a+1) first to answer gets brainliest

Answers

here you go, hope this is helpful!

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ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

A) Ed

Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.

Answer: Ed

Step-by-step explanation:

Help if you can!
Also, show work

thxxx <3
-10 pts

Answers

Answer:

1. A. 66 cubic inches.

2. A. 151,410,000

Step-by-step explanation:

For number one: Multiply 3 x 4 and that will give you 12 then multiply that by 11 and that will also give you 132. Lastly, divide 132 by 2 and it will get you 66 cubic inches.

For Number two: Multiply 420 by 721,000 and that will give you 302,820,000.

Once you have that, divide it by 2 and will give you 151,410,000.

Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION). /

Answers

Answer:

The probability of pulling out a blue marble is 33.3%.

Step-by-step explanation:

Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:

28 - 1 = 27

9/27 = X

0.333 = X

0.333 = 33.3%

Therefore, the probability of pulling out a blue marble is 33.3%.

1.What is greater? - 7,500 pounds or 4 tons? 2.What is greater? - 1/2 ton(s) or 1,000 pounds? Please help! This is due in 9 minutes .~.

Answers

Answer:

4 tons is greater

1/2 is greater

Because one ton is equal to 1,000 pounds

12) What type of triangles will always be similar to one another?

Answers

Answer:

Right

Step-by-step explanation:

Answer: Two equilateral triangles are always similar.

Step-by-step explanation:

Change 1 hour 25 minutes 29 seconds to seconds

Answers

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100

Sarah normally earns £600 each month. In December she is given a bonus of 1/5 of her normal pay. How much will she now earn this month?

Answers

Answer:

720

Step-by-step explanation:

First you divide 600 by 5 to get 1/5 if the 600 which is 120

Then you add the 120 to the 600 which is your answer 720

simplify the expression: 1-sin^2x/secx

Answers

Answer:

cos (x)

Step-by-step explanation:

Ms. Nelson wants to buy a stair runner carpet to make it easier for her dog, Max, to go up and down the stairs. There are 15 stairs in Ms. Nelson's staircase, and each stair needs 60 centimeters of carpet. How many meters long will Ms. Nelson's stair runner be?

Answers

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

the perimeter of a rectangle is 240 ft., If the length is 12 ft., then what is the width

Answers

Answer:

w=108

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving for w

w=P /2﹣l = 240 /2﹣12 = 108

Answer:

width=20

Step-by-step explanation:

the area of a rectangle= length times width

12x=240

then you divide 12 by both sides, so the answer is 20

Find 0% of 48:

Find 100% of 48:

Find 50% of 48:

Find 25% of 48:

Find 75% of 48:

Answers

Answer:

0

48

24

12

36

Step-by-step explanation:

If K is the center of the circle, which line segment is the radius?

Answers

the line segment KN is the radius

please sove this
I will mark you as brainleist like and give five stars​

Answers

It would be a negative Integer

Answer:

Negative

Step-by-step explanation:

A negative times a negative equals positive

A positive times a negative equals a negative

A positive times a positive equals a positive

For positive acute angles A and B, it is known that cos A= 60/61 and tan B= 45/28. Find the value of sin(A+B) in simplest form

Answers

Answer:

[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]

And that the two angles A and B are both in QI (positive acute angles).

Given this, we want to determine the value of sin(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:

[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]

Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:

[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]

In conclusion:

With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.

With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.

We can rewrite our original expression as:

[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]

And since A and B are both in QI, all trigonometric ratios will be positive.

Using the above conclusions, substitute:

[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]

Question is down in the image|||

Answers

Answer:

A

Step-by-step explanation:

write a real world problem that could be represented by 1/5 x 5 = 1

Answers

Answer:

Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?

Kristy rides 6 miles on her bike in 40 mins. Jax rides his bike 4 miles in 30 mins. Drag the tiles to complete the ratio tables. Tiles may be used once, more than once, or not at all

Answers

Answer:

12

Step-by-step explanation:

Answer:

Jax 4,8,12,16,20

And the last box is 60

Step-by-step explanation:

How many lines of symmetry does this shape appear to have?​

Answers

Answer:

There are 6 lines of symmetry.

|X+1|+|x-2|=3. Can you please help me?

Answers

Answer:

I can answer if you make me brainliest

Identify the volume of a square pyramid with base edge length 18 cm and height 16

Answers

Answer:

1728

Step-by-step explanation:

There are 90 kids in the band. 20% of the kids own their instruments, and the rest rent them. What percentage of kids either rent or own and instrument

Answers

Answer:

im conufesed

Step-by-step explanation:

Answer:

18 kids own their own instruments

72 kids rent instruments

80%rent 20%own

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

30 units^2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Multiply length times width

Each side is 6 units. That would be your length

And both the top and bottom are 5 units each. This would be your width.

5 times 6= 30

Use the distributive property to rewrite each expression in its equivalent form

Answers

Answer:

picture?

Step-by-step explanation:

Find the perimeter of quadrilateral ABCD. Round your answer to the nearest hundredth. A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Answers

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units

Could someone pls help?

Answers

12%









She Henie tjebrirbid
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