Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters, and a variance of 49. If a random sample of 34 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.8 millimeters

Answers

Answer 1

Answer:

The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is approximately 0.0668.

What is the standard deviation?

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

The standard deviation of the population is $√(49) = 7$ millimeters. The standard error of the sample mean is then

$(7)/(√(34)) = (7)/(5.874) \approx 1.2$ millimeters.

The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is the probability that it falls outside of the interval $(139 - 1.8, 139 + 1.8)$ . We can use the standard normal distribution to approximate this probability.

First, we need to convert the difference between the sample mean and the population means to standard units.

The difference of 1.8 millimeters is :

$(1.8)/(1.2) = 1.5$ standard units.

Then, we can use the standard normal distribution to find the probability that the sample mean falls outside of this interval.

This probability is equal to $1 - 2\Phi(-1.5) \approx 0.0668$ ,

where $\Phi$ is the standard normal cumulative distribution function.

Therefore, the required probability is approximately 0.0668.

Learn more about the standard deviation here:

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The mass of Box A and Box B is 0.6 kg. The mass of Box A and Box C is 1.3 kg.Box C is 3 times as heavy as Box B. Find the mass of Box A.

Answers

Answer:

A=0.25

B=0.35

C=1.05

Step-by-step explanation:

1. A+B=0.6

2. A+C=1.3

3. C=3B

2 subtract 1:

C-B=0.7

3 substituted:

3B-B=0.7
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The number of mold cells doubles every 12 minutes. At this moment, there are x mold cells present on a piece of bread. Which of the following represents the number of mold cells present one hour from now?

Answers

The no. of mold cells one hour from now will be 32 $x$ .

Given,

The number of mold cells doubles every 12 minutes.

Let at time $t$ we have x mold cells.

So, after 12minutes, the no of molds at $,t_(12) =t+12$ the no. of mold will be $2x.$

After further 12 minutes at, $t_(24) =t+24$ , the no. of mould will be $4x$ .

After further 12 minutes at, $t_(36) =t+36$ , the no. of mold will be $8x$ .

After further 12 minutes at, $t_(48) =t+48$ , the no. of mold will be $16x.$

After further 12 minutes at, $t_(60) =t+60$ , the no. of mold will be $32x$ .

Hence the no. of mold cells one hour from now will be 32 $x$ .

For more details follow the link:

brainly.com/question/11897796

Answer:

Step-by-step explanation:

Suppose that at time $t_0$ we have x mold cells. We are told that after 12 minutes the amount present is double. That is a $t= t_0+12$ we have 2x cells. Then, at $t = t_0+24$ we have (2x)*2 = 4x. We can continue as follows

$t: t_0+36$ we have (4x)*2 = 8x.

$t: t_0+48$ we have (8x)*2 = 16x

$t: t_0+60$ (one hour later) we have (16x)*2 = 32x.

So after one hour from now we have 32x cells.

Help me an plz dont put links while answering question

Answers

Answer:

i say it is C if not then B

Step-by-step explanation:

Jill is making a long cape. She needs 7 1/3 yards of blue fabric for the outside of the cape. She needs 6 2/3
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How much more blue fabric than purple fabric should Jill buy?

Answers

Answer: 2/3yards

Step-by-step explanation:

From the question, we are informed that Jill is making a long cape and that she needs 7 1/3yards of blue fabric for the outside of the cape and that she needs 6 2/3yards of purple fabric for the lining of the cap.

To calculate the yards of blue fabric that'll be needed more than purple fabric,, we subtract 6 2/3 from 7 1/3. This will be:

= 7 1/3 - 6 2/3

= 2/3

She needs 2/3yards of blue fabric more.

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Answers

Answer:

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This penalty clause may differ from from one library to another.

I will cite my school library as an example.

If the time to return a book is due, the library charges a fixed amount from the due date till when ever one returns the book

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If we assume that x, y, and z are independent variables, then the appropriate choice is ...
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