Determine the sample size required to estimate a population mean to within 10 units given that the population standard deviation is 60. A confidence level of 90% is judged to be appropriate.

Answers

Answer 1

Answer: 98

Step-by-step explanation:

Formula to find sample size if population standard deviation is known:

[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.

Given: [tex]\sigma=30,\ \ \ E=10[/tex]

Critical z-value for 90% confidence = 1.645

[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]

Required minimum sample size = 98


Related Questions

for what values of x is x2+2x=24 true?

-6 and -4
-4 and 6
4 and -6
6 and 4 ​

Answers

Answer:

It is actually choice c

Step-by-step explanation:

I took the test

Answer:

c

Step-by-step explanation:

banlest plzz

If you add 1 more side to a triangle, you would have a: a.)pentagon. b.)quadrilateral. c.) hexagon​

Answers

Answer:

quadratial

Step-by-step explanation:

3. Which number is a distance of 4 units away from 2 and a distance of 2 units from -4?
HH
-6
-5
-4
-3
-2
-1
0
1
2.
3
4
5
6

Answers

Answer:

-2

Step-by-step explanation:

Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?

Answers

Answer:

14.5 feet

Step-by-step explanation:

the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2

Answer:

7.5 m above sea level

__________________________________________________________

Step-by-step explanation:

We are given:

The elevation of Homer = -30 feet                         [30 feet below sea level]

The elevation of Marge = +45 feet                         [45 feet above sea level]

The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

The elevation of Bart:

We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

So, Half the distance between the elevation of Homer and Marge is the elevation of Bart

Elevation of Bart (with respect to the elevation of Homer) =

(elevation of Marge - Elevation of Homer) / 2

replacing the variables with the suitable values:

(+45 - (-30))/2

(45 + 30) / 2

75 / 2

Elevation of Bart (w.r.t. Homer) = 37.5 feet

Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer

So, we can say that:

Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer

replacing the values

37.5 = Elevation of Bart -(-30)

37.5 = Elevation of Bart + 30

Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]

Answer this math question and ill give brainliest

Answers

Answer:

6 squares!

Hope this helped! :)

6 units (unless it’s there’s already a unit then just use that unit. it’s most likely cm)

I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.

Find the slope on the like exain or show your reasoning

write and equation for the line.

find the values for A and B. Explain your reasoning. ​

Answers

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

[tex] y = 2x + (-2) [/tex]

[tex] y = 2x - 2 [/tex]

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

[tex] 8 = 2(a) - 2 [/tex]

[tex] 8 = 2a - 2 [/tex]

Add 2 to both sides

[tex] 8 + 2 = 2a [/tex]

[tex] 10 = 2a [/tex]

Divide both sides by 2

[tex] \frac{10}{2} = a [/tex]

[tex] 5 = a [/tex]

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

[tex] b = 2(4) - 2 [/tex]

[tex] b = 8 - 2 [/tex]

[tex] b = 6 [/tex]

what's the distance between (2,10) and (-6,6)

Answers

Answer:

4

Step-by-step explanation:

Answer:

sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9

Step-by-step explanation:

use formula:

d= sqrt(x2−x1)^2+(y2−y1)^2

You recently discovered that your job provides a 25% matching towards your retirement.
If you deposit $300 each month into a retirement account with an APR of 8.99%, what
would you type in Excel to find the balance after 30 years?

Answers

Answer:

What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).

Step-by-step explanation:

Note: See the attached excel file for the calculation of future value of an ordinary annuity.

Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:

=FV(rate,nper,-pmt,0,0) …………………… (1)

rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.

nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.

pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.

pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.

type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.

Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:

=FV(B4,B5,-B3,0,0)

The above then gives a future value of $548,080.11 which is  the balance after 30 years.

PLS HELPPPP MEEE
(explain ur answer)

Answers

Answer:

(4). is the correct answer

Step-by-step explanation:

(- 3, 1, 1)

(1). - 3 - 1 - 1 ≠ - 2  not an answer...

(2). - 3 - 1 + 3(1) ≠ 2 not an answer...

(3). 4( - 3) + 1 - 3(1) ≠ - 4 not an answer...

(4). 2(- 3) + 3(1) + 4(1) = 1

3(1) + 3(1) = 6

- 3 = - 3(1)

Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi

Answers

Answer: B) x=-pi/2 , x=pi/2

Step-by-step explanation:

Just did it!

Answer:

B

Step-by-step explanation:

Edge 2020

The following statements as true or false.


a. m23 + m25 = 180

b. m22 + m26 = 180

C. m28 = m_1
Which ones are true and false plzzzzz this is urgent

Answers

Answer:

True

False

True

Step-by-step explanation:

Interior angles are supplementary

Corresponding angles makes mangle2 and mangle6 the same deg

mangle1 = mangle5 (corresponding angles)

mangle5 = mangle8 (vertically opposite angles)

Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

Step-by-step explanation:

For 2 it is 6/7. 36 and 42 share a common factor, 6. If you divide each one by 6, 36 becomes 6, and 42 becomes 7. So, number 2 is 6/7.

Yes the person that answered were correct I had this question

True or False

Gross income is the amount of money you earn before taxes
________________________

Net income is after taxes.
________________________

There are 24 pay periods in a year if you are paid monthly.
________________________

Regular or straight time pay is calculated by the hourly rate X hours worked.
___________________________

Piecework is when you are paid for each item of work that you do.
__________________________

Fill in the blank

When I earn extra money based on the amount I sell, this is called____________________________.

Overtime begins when a person works more than _____ hours per week.

Social Security, Federal , and ______________ taxes will be deducted from an employee’s paycheck.

Overtime Pay is an Act covered by ______________________________________________________.
Annual salary is calculated by dividing the salary by _____________________________________.

Answers

Answer:

True

Step-by-step explanation:

Gross income is prior to any deductions, expenses, or other appropriations have been taken out.

2. True

Net income is after taxes

3. False

This would be biweekly if 24 payperiods

4. True

5. True

Fill in blank

1. Commission (I think)

2. 40

3. State

4. Dept of Labor; act is called Fair Labor Standards Act

5. Fair Labor Standards Act

6. if you need to know annual salary, then mulitply your gross income by the number of payperiods in one year, if you need to know your monthly salary then divide the annual salary by 12 to get monthly.

2. Here are some unfinished calculations. Complete them to find each difference.

Answers

U haven’t told us what the question is but u have to turn it into an improper fractions first and then find a common multiple in both denominators pls mark me as brainliest

One-third of a number t is equal to 7.
Write the word sentence as an equation then solve

Answers

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

Which of the following angles is not congruent to angle 3

Answers

Answer:

angle 2

Step-by-step explanation:

they aren't equal.

Angle 3 is not equal to angle 2.

What is property of parallel lines?

Properties of Parallel Lines Cut by a Transversal

For the parallel lines cut by a transversal, the following properties hold true:

Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

As,

angle 3 = angle 1    (Corresponding angle)

angle  3 = angle 6  ( alternate interior angle)

angle 3= angle 8  (vertically opposite angle)

But there is no relation between angle 3 and angle 2.

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ6

34 + 10 + 100 = 12 x 12 Is this correct?

Answers

Answer:ig so

Step-by-step explanation:34+10+100=144

12x12=144 same thing

Answer:

yes

Step-by-step explanation:

i guess

Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.

Answers

Answer: h is 5 and k is 2

Step-by-step explanation:

The equation of the transformed of the parent cube root function is

y = ∛(x-4) - 1.

How to know if a point lies in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

The given graph represents a transformation of the parent cube root function.

The Parent cube root function is

y = ∛(x -h) - k

where the value of h  and k is equal to 0

h=0, k=0 in parent function

The graph changes direction at (0,0) in parent function.

From the given graph we can see that the graph changes direction at (4,-1) which means the graph is shifted 4 units to the right and 1 unit down

So, the value of h=4  and value of k=1

The equation of the transformed function,

y = ∛(x-4) - 1

Learn more about points lying on graph of a function here:

brainly.com/question/1979522

#SPJ5

Which of the following rates are proportional to $3.85 per 1 pound? Select all that apply.
HELP STAT
A) 5 pounds for $19.25
B) $7.70 for 2 pounds
C) 4 pounds for $15.10
D) $10.00 for 3 pounds
E) 10 pounds for $38.50
F) $28.75 for 9 pounds

Answers

U just divide the money by how many pound and if u get 3.85 that is correct
A, B, and E
A:$19.25/5=$3.85
B:$7.70/2=$3.85
E:$38.50/10=$3.85

(8,9), X + 8y = 9
Help me please

Answers

Answer:

slope of -1/8

and it crosses:

(3,5)

.

Plug the above data into the "point-slope" form:

y - y1 = m(x - x1)

y - 5 = (-1/8)(x - 3)

y - 5 = (-1/8)x + 3/8

y = (-1/8)x + 3/8 + 5

y = (-1/8)x + 3/8 + 40/8

y = (-1/8)x + 43/8

Step-by-step explanation:

?

Boden’s account has a principal of $800 and a simple interest rate of 3.3%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?

Answers

Answer: 800 x 1.033^4 = 910.94 (result is rounded)

What is the Greatest Common Factor of 12 and 28
O2
3
06
4

Answers

Answer:

The GCF of 12 and 28 is 4.

Step-by-step explanation:

hope this helps

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 28 are: 1, 2, 4, 7, 14, 28

Answer:

The GCF is 4.

Step-by-step explanation:

find QR. 18+x + 2x+23=17

Answers

Step-by-step explanation:

1.) x+2x=17-18-23

2)3x=-24

3)x=. -8

Richmond High School purchased 90 graphing calculators for $110
each. The school received a manufacturer's rebate of $10 per
calculator. After the rebate, what was the total cost of the
calculators?

Answers

Answer:

$9000

Step-by-step explanation:

110 x 90 = 9900

90 x 10 = 900

9900 - 900 = 9000

Find three consecutive odd integers such that the sum of the first and the third is 34,


HURRY PLEASE

Answers

Answer:

15,17,19

Step-by-step explanation:

assume the first number is X which means the third number will be X+4 so X+ X+4=34

solve for X which will be 15

thus the numbers are 15,17 and 19

When do you draw a hole in a piecewise function?

Answers

Answer:

you just draw a circle indicating that it is a hole. Your welcome

If you have $25 and your friend wants to borrow $18 what percent of your money is he borrowing? *

Answers

Your friend is borrowing 72% of your money. Please comment if you need further explanation I’d be happy to walk you through how to solve it!

Find the probability the next person you meet was born either on a Monday or a Friday.

Answers

Answer:

Probability = 0.2857 (Approx)

Step-by-step explanation:

Given:

Total number of days in a week = 7

Monday or Friday = 2  days

Find:

Probability

Computation:

Probability = Monday or Friday / Total number of days in a week

Probability = 2/7

Probability = 0.2857 (Approx)

In the graph above what is the average speed for the object?

a. 0.4m/s
b. 2.5m/s
c. 3m/s
d. 0.8m/s

Answers

Answer:

c

Explanation:

Just because

helppp me please i’m going to fail

Answers

Multiple the top equation by 2 and rearrange so that -7 is equal to the others.
-10x+2y=-14
-3x-2y=-12
——————-
-13x=-26
Divide both by -13
x=2
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