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

Solve the quadratic equation.

3x^2-12=16x

Answers

Answer:

I think the answer is

x  = 6, -2/3

Step-by-step explanation:

I hope this helps please let me know if it is incorrect

Which of the expressions are equivalent to the one below? Check all that
apply.
16. (1 + 3)
A. (16. 1) + (3.16)
B. (3 + 1). 16
D C. (16 + 3). 1
D. (161) + (163)

Answers

ok so 16.(1+3) = 16 . 4 = 64 so let's solve them A = (16 . 1) + (3 . 16) .. here it's right because we split the 6 on each number ... if you want a prove solve it (16 . 1 ) + (3 . 16 ) = 64 B = (3+1) . 16 = 4 . 16 = 64C = (16 +3) . 1 = 19 . 1 = 19 D = 161 + 163 = 324

so A & B = 64 .... so yeah right A & B are the correct answers

by the way i multiplied for the "."

DUE IN A HOUR!!!!!!!!!!

What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

y=1/4x+7/4

Step-by-step explanation:

OK THIS IS MAH 3rd QUESTION CAN SOMEONE PLS HELP MEH?

I REALLY NEED HELP PLS!

:3

Answers

Answer:

The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.

Step-by-step explanation:

Now that i wrote this passage you have to figure out which one it is

I’m not sure of that but it might be 6.8

pls pls pls help i am terrible at math.
where do the points go?

Answers

Answer:

I presume that 10x would be on the x axis to the right of 0.

-7y would be on the y axis under 0. Therefore in between -6 and -8

You might know this but very important

X to the decks (horizontally/straight across) and Y to the sky (vertically/ up and down)

Given g (x) = -x + 3, find g(1)

Answers

Answer:

2

Step-by-step explanation:

g (x) = -x + 3

g(1) = -(1) + 3

= 2

Hope this helped! If so, plz mark brainliest.

A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 ​inches?

Answers

Answer:

3 weeks and 4 days.

Step-by-step explanation:

If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6

3 3/6 + (1/6 x 4) = 4 1/6

3 weeks and 4 days

3 weeks , 4 days. does it ask to show your work or ask for an explanation..?

the ratio 60 miles per hour is an example of a ______because it has two measurements having different units of measure
Answers:

1.Annex
2.Rate
3.Unit rate
4.Least common multiple

Answers

Answer:

3. Unit Rate

Step-by-step explanation:

The answer is Unit Rate because it is describing two units of measurements compared to one another.

Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she
received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
O 100
112
оооо
125
132
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

125

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

^DEF and ^RSQ are shown in the diagram below

Based on the information provided in the diagram, what is mZQ in degrees?

Answers

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

EF corresponds to SQ

DF corresponds to RQ.

Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

EG/SQ = 8/4 = 2

DF/RQ = 4/2 = 2.

Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

Help?!
I dont understand this Help?!

Answers

Use the equation form the last question to answer how many it would cost to do 30 hours

The tank for a car holds 20 gallons of gas. The gasoline gauge shows the tank is 1/8 full. How much gas is still in the tank?

Answers

Answer:

3/4 of a tank =3/4(13) gal

=39/4 almost 10 gal

NEED HELP ASAP!! (PIC ATTACHED)

Answers

it’s 8 16-8=8 so 8 is the answer

I NEED HELP WITH THIS MATH PROBLEM!!

Answers

Answer:

x equal 20  Step-by-step explanation:

H equal 58          I equal 71          J equal 51                                                                                     we will just simply the equation you wrote

The table below shows the total number of hours Jessica,Emily,and Trina each studied after a given number of weeks

Answers

Answer:

See attached

Step-by-step explanation:

Refer to attached

Only column 3 - Trina's numbers represents proportional relationship

Equation for it is:

y = 2.5x

Calculation is provided on the table

The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?

Answers

Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603

If f(1) = 6 and f(n) = f(n-1) + 2 then find the value of f(4).

Answers

Answer:

5

Step-by-step explanation:

f(4-1)+2

=3+2

=5

PLS GIVE BRAINLIEST

4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no

Answers

Answer:

Step-by-step explanation:

Given function is h(t) = -16t² + 1500

a). For h(t) = 1000 feet,

   1000 = -16t² + 1500

   1000 - 1500 = -16t² + 1500 - 1500

   -500 = -16t²

    t² = [tex]\frac{500}{16}[/tex]

    t = [tex]\sqrt{31.25}[/tex]

    t = 5.59 sec

b). For h(t) = 940 feet,

   940 = -16t² + 1500

   940 - 1500 = -16t² + 1500 - 1500

   -16t² = -560

   t² = [tex]\frac{-560}{-16}[/tex]

   t = [tex]\sqrt{35}[/tex]

   t = 5.92 sec

c). For domain and range of the function,

  When the jumper comes down to the ground,

   h = 0

   0 =-16t² + 1500

   t² = [tex]\frac{1500}{16}[/tex]

   t = [tex]\sqrt{93.75}[/tex]

   t = 9.68 sec

  Since, x-values on the graph vary from x = 0 to x = 9.68,

  Domain : [0, 9.68]

  Vertex of the quadratic function: (0, 1500)

  Since, coefficient of the highest degree term is negative, parabola will open downwards.

  Therefore, y-values of the function will vary in the interval y = 0 to y = 1500

  Range: [0, 1500]  

the term to term rule of a sequence is divide by 2

Answers

(Google Answer)
If the rule is to multiply or divide by a number each time, it is called a geometric sequence. Each number in a ... What is the term to term rule and the next two terms of the sequence: 17, 14, 11, 8, .

Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit.

Answers

Answer:

1,800,000

Step-by-step explanation:

9146 * 174

Estimate: 9000 * 200 = 1,800,000

Write (6*100) + (4*10) in standard form

Answers

the answer is 600+40

if u make 120.45 in 15 2/3 hours how long did u work if u made 40.15 ?

Answers

Answer:

about 5.22hrs

Step-by-step explanation:

cross multiply

120.45          ?

15.67         40.15

120.45*40.15

=629.1505

629.1505/15.67

=5.2233333...

12.009 write in word form

Answers

twelve and nine thousandths

please help!! find the reciprocal of these numbers.
6.2
-2.3
0.9
-22.7

Answers

Answer:

They have its own reciprocal

6.2 will be 0.16 -2.3 will be -0.43 0.9 will be 1.11 and -22.7 will be 0.04. You need to change the decimals into fractions. Flip the fraction and then turn that fraction back into a decimal. I hope this is right!

Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. How many miles can he drive.

Answers

Answer:

Alex can drive for 100 miles.

Step-by-step explanation:

First, you do 30 - 18, which is 12. Divide 12 by 0.12 to get your answer, which is 100 miles.  

Hope this answer helped!

Answer:

Alex can drive for 100 miles

Step-by-step explanation:

Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?

Answers

Answer:

d. J

Step-by-step explanation:

Given that Raul gets 5 (y) book points for every 125 (x) pages he reads during summer challenge, we can say that his unit rate would be: y/x = 5/125 = 1/25.

Raul's unit rate is 1/25 book point to each page he reads.

Graph J also has a unit rate of 1/25 (y/x).

Therefore graph J models a relationship with the same unit rate.

At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E

Answers

Answer: C ( square root of 1.5 x 3.6)

Step-by-step explanation:

The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.

The standard deviation expression of the distribution P is √(1.50 × 3.6)

Given the Parameters :

Expected value = 2.6Variance = 3.6 Price per doughnut = $1.50

The price for the variance of the distribution can be written as :

Price per doughnut × Variance

Variance = $1.50 × 3.6

The standard deviation of the distribution D is related to the variance by the formular :

Standard deviation = √variance

Standard deviation = √(1.50 × 3.6)

Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)

Learn more :https://brainly.com/question/18153040

Fill in the blank to accurately describe the length of the missing side x

Answers

Answer:

8<x<12

Step-by-step explanation:

this is an equilateral triangle, which means 2 sides have the same length. seeing that there is a 12mm on the bottom and a 8mm on the side, that would make x be 8mm as well. so that would make this statement -

8<x<12

hope this helps :)

Si cada 5 minutos me pagan 10 puntos cuanto tiempo me tomara llegar a 250.000 puntos
If every 5 minutes they pay me 10 points, how long will it take me to reach 250,000 points
Help Pls/ Ayuda porfa

Answers

Step-by-step explanation:

Free point yes idufjeiduejsjdidjd

Answer:

by my calculations the answer is 250 weeks.

Please mark me brainliest

1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18

Answers

Perimeter is all sides added up
2(3x^2-2x) + 2(x^2+7x-9)
= 6x^2 - 4x + 2x^2 +14x - 18
Simplify
8x^2 + 10x - 18
It would be number 4

Answer:

4.

Step-by-step explanation:

(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)

x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x

Rearranging order:

3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9

Combine like terms

8x^2 + 10x - 18

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