Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 205.3 inches? Round your answer to four decimal places.

Answers

Answer 1

Answer:

the probability is 0.0750

Step-by-step explanation:

The computation of the probability is shown below;

The mean of x is

= 1.5 ÷ √79

= 0.1688

Now the probability is

= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)

= P(Z < -1.78) + P(Z > 1.78)

= P(Z < -1.78) + 1 - P(Z < 1.78

= 0.0375 + 1 - 0.9625

= 0.0750

hence, the probability is 0.0750


Related Questions

Name
Week 5 Test Taking Skills, Page 1
1
7
The weight of a box of rice is
8
pound. If Mrs. Ortega buys 6 boxes of rice, how many pounds of rice is she
buying?
Rice
Rice
Rice Rice Rice Rice
Weight Weight Weight? Weight |
Weight? Weight?
A
5 1 / 2
1b
B
Ib
8
с
4 - lb
D
5 lb

Answers

Answer: D - 5 1/4

Step-by-step explanation:

7/8 x 6 = 5.25

5.25 = 21/4

21/4 = 5 1/4

Answer:

D) 5 1/4

Step-by-step explanation:

A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Construct a 99% confidence interval for the unknown mean sodium level assuming that the population standard deviation is 10 milligrams.

Answers

Answer:

The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.

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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.58.

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.

[tex]M = 2.58\frac{10}{\sqrt{10}} = 2.58[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 103 - 2.58 = 100.42 milligrams of sodium per slice.

The upper end of the interval is the sample mean added to M. So it is 103 + 2.58 = 105.58 milligrams of sodium per slice.

The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.

5. Consider the contexts the follow.
a. Create a table for each context.
b. Graph the data in each table.
c. Determine a recursive rule then an explicit equation that fits each context.

Context D: The Rowing Team is selling cookies for $1 each. A friend is selling the cookies and allows you to pay later for cookies you buy beyond the $3 you have in your pocket. How much will you pay your friend if you buy C cookies? (Negative dollars are dollars you pay your friend after the sale).

Answers

Answer:

d

Step-by-step explanation:

1+3=4

Find the volume of the prism.
6 m
20 m
26 m
The volume of the prism is
m?

Answers

Step-by-step explanation:

To find the volume, you need to do length x width x height.

In this case, we are going to do 6 x 20 x 26.

You get 3,120 m^3.

Hope you found this helpful!

Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b ^2 = c^2.​

Answers

Answer:

8.7 in

Step-by-step explanation:

a = 7.3

b = 4.8

c^2 = 7.3^2 + 4.8^2 = 76.33

c = sqrt(76.33) which is around 8.7

Jimmy eats seven cookies every three minutes. How long does it take him to eat 28 cookies?

Answers

28 / 7 = 4

3 x 4 = 12


It’ll take him 12 minutes

Answer:

12min

Step-by-step explanation:

if7=3

28=?

28×3÷7=12

Caroline misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 39?

Answers

Answer:

156

Step-by-step explanation:

39 * 4 = 156

Answer is 156. :>>>>>>>>>>>>

what is the length of x ??

Answers

4 = 100-96 I think.

A backpack is on sale for $51.00. This is 75% of the original price. What was the original price?

Answers

Original price= $204.

100%-75%= 25% or 0.25.

51 = 0.25 * n (original price)

Divide 0.25 on both sides

51/0.25 = 204

N=204

That is indeed a very expensive backpack.

IS DUE PLZ HELP Mabel ate break fast at a restaurant. The bil lcame to $38. If she left an 18% tip, how much was the tip?

Answers

Answer:

37.82

Step-by-step explanation:

Turn 18% into decimal=0.18 subtract 0.18 to 38=37.82

Hope it's correct!

help me pls plz please teachers math simple math lol ok smart wow cool points brainly tiktok

Answers

Answer:

5. 30km 6. sorry I forgot how to do these 1. 240m 2. 36cm 3. 64ft

Step-by-step explanation:

8,782 divided by 2 can you please explain me the process so i can do it

Answers

Answer:

4,391

Step-by-step explanation:

next time use a caculator luv <3

Answer:

4,391

Step-by-step explanation:

You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.

A cube is a rectangular prism with the same measurement for length, width, and height. If a cube is 4 inches tall, what is it’s volume?

Answers

Volume equals length x width x height; 4 x 4 x 4 equals 64 cubic inches

Please help ASAP!!!!

Answers

Answer:

Students from the list of all students.

Step-by-step explanation:

The list includes ALL students attending the school, not just the ones from a particular group.

An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2: Suppose a sample of 211 tankers is drawn. Of these ships, 146 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answers

Answer:

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Step-by-step explanation:

Proportion of oil tankers that had spills.

Number of tankers with spills divided by the total number of tankers.

In this question:

211 tankers

146 did not have spills, so 211 - 146 = 65 had

Proportion:

[tex]p = \frac{65}{211} = 0.308[/tex]

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

In ADEF, the measure of ZF=90°, the measure of ZD=69°, and FD = 64 feet. Find
the length of DE to the nearest tenth of a foot.

Answers

9514 1404 393

Answer:

  178.6 ft

Step-by-step explanation:

The definitions of the trig functions tell you ...

  Cos = Adjacent/Hypotenuse

  cos(69°) = FD/DE

  DE = FD/cos(69°) ≈ (64 ft)/0.3584

  DE ≈ 178.6 ft

I need help if you awnser right I will mark you

Answers

Answer:

300

Step-by-step explanation:

I think like 70 precent sure

Monthly budget: $1200
If he spends 25% on food each month, you can interpret it as a fourth of his budget because 25/100 is equal to 1/4.
$1200 / 4 = $300

Another way is by turning 25% into a decimal and doing $1200 * 0.25 = $300

Answer: $300

Good luck!

Find x to the nearest tenth

Answers

Answer: 0.20

Step-by-step explanation:

1/2 + (- 3/4)


1. 1

2. -1

3. -1/4

4. 1/4


Answers

Answer:

3. -1/4

Step-by-step explanation:

Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4

Who ever answers it gets Brainly

Which of the following equation represents a linear function

Answers

Answer: it is c

Step-by-step explanation:

the thee answer iis: C

Two consecutive even Integers have a sum of 34. Find the Integars

Answers

Answer:

18 and 16

Step-by-step explanation:

16 and 18 are the even integers

Guys help I’m failing math this assignment is 100 points it will boost my grade

Answers

Answer:

1. -6.5

2. 8.5

3. -2 7/10

Step-by-step explanation:

If you any more questions comment

could you give me Brₐinliest

Answer:

im not sure

Step-by-step explanation:

lol i just want points

Lola purchases music from two online services. Company A charges Lola a $10
subscription fee plus 89 cents for each song. Company B charges no subscription fee but
$1.19 per song. What is the minimum number of songs Lola would have to purchase for
Company A to be the cheaper option?

Answers

9514 1404 393

Answer:

  8. (c)  34

  9. 38 women

Step-by-step explanation:

8. The price for s songs is ...

  A = 10 +0.89s

  B = 1.19s

We want A < B, so ...

  10 +0.89s < 1.19s

  10 < 0.30s

  33.33... < s

Lola would have to purchase 34 songs for Company A to be the cheaper option.

__

9. Let m represent the number of men. Then the number of women (w) is ...

  w = 4m+2

The total of men and women is 47, so we have ...

  m + w = 47

  m + (4m +2) = 47

  5m = 45 . . . . . . . . . subtract 2

  m = 9 . . . . . . . . . . . .divide by 5

  4m +2 = 4(9) +2 = 38 . . . . find the number of women

The PTA has 38 women in it.

which statement about this triangle is true?
tan 0= 4/5
sin 0 = 3/5
cos 0 = 3/5
sin 0 = 3/4

Answers

Answer:

I'm not sure but I believe it is than 0=4/5

determine the difference of the place value of 7s
in 3701 4472​

Answers

Answer:

Place value of 1st digit=7,000,000

,,. ,,,. ,,,. of 2nd digit= 70

Difference= 7,000,000-7

You get 6,999,930

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

In which step did the student make the first error?
step 1
step 2
step 3
step 4

Answers

Answer:

there is no picture for us to see so we can't answer it.

Step-by-step explanation:

sorry

Answer:

C: step 2 (Took the test on edge got 100%)

Step-by-step explanation:

Your question was incomplete you have forgotten to include the graph necessary to answer.

Find the missing measure

Answers

X = Tan^-1(15/13)
X = 49.1

Can someone help me pls?

Answers

Answer:

x = 17.2

Step-by-step explanation:

cos 35 = x/21

0.8192(21) = x

x = 17.2

PLEASE HELP TANGENT LINESSSS

Answers

9514 1404 393

Answer:

  x = 154

Step-by-step explanation:

Angle x° is supplementary to the external angle:

  x° = 180° -26°

  x° = 154°

Answer:

Step-by-step explanation:

sum of four angles of a quadrilateral=360°

each tangent measures 90°

26+90+90+x=360

206+x=360

x=360-206=154°

I need help with this

Answers

B 25% of her students are in chemistry is false
B is false there is 35% in chemistry
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