NEED THESE ANSWERS! Thanks!!

maksim [4K]

I hope this helps you

7 0

3 years ago

A population of values has a normal distribution with μ = 155.4 and σ = 49.5 . You intend to draw a random sample of size n = 24

xz_007 [3.2K]

Answer:

(a) The probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b) The probability that a sample mean is between 158.6 and 159.2 is 0.0411.

Step-by-step explanation:

Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.

(a)

Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:

$P(158.6 < X$

*Use a standard normal table.

Thus, the probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b)

A sample of <em>n</em> = 246 is selected.

Compute the probability that a sample mean is between 158.6 and 159.2 as follows:

$P(158.6 < \bar X$

*Use a standard normal table.

Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.

4 0

3 years ago

Read 2 more answers

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2.5 over 5 and 59 hundredths. Triangles XYZ

adell [148]

Dilation involves changing the size of a shape

<h3>How to determine the relationship between the trigonometry ratios</h3>

From the question, we understand that:

The dilation of triangle XYZ gives triangle ACB

This means that, the following are corresponding points

Points X and A
Points Y and C
Points Z and B

The above means that:

The relationships between the trigonometry ratios of both triangles are:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>How to determine the measures of segments AC and AB</h3>

In (a), segments XY and XZ corresponds to the segments AC and AB

So, the product of the lengths of XY and XZ and the scale factor will result in the lengths of AC and AB,

i.e.

AC = 2 * XY and AB = 2 * XZ

Read more about dilation at:

brainly.com/question/26332230

5 0

2 years ago

A nurse sees 24 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in a 8-hour per

Vikki [24]

Hi!

We will solve this using proportions, like this:

24 patients in 5 hours

x patients in 8 hours

_________________

x = (24*8)/5

x = 192/5

x = 38,4

The nurse will be able to see 38,4 patients in a 8-hour period, but because it's patients we are talking about, living things which can't be represented in decimal form, the nurse will be able to see approximately 38 patients in a 8-hour period.

Hope this helps!

4 0

3 years ago

In how many ways can 2 singers be selected from 4 who came to an audition?

Svetlanka [38]

First part its 4C2 = 4*3 / 2 = 6

Second part
12 * 100
---------- = 4.3 %
280

3 0

4 years ago

Read 2 more answers