What is the squared of 10

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer ab

GarryVolchara [31]

Using the normal distribution, the probabilities are given as follows:

a) 0.6517 = 65.17%

b) 0.0823 = 8.23%.

c) 0.6109 = 61.09%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 8.9, \sigma = 2.8$

Item a:

The probability is the <u>p-value of Z when X = 10</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 8.9}{2.8}$

Z = 0.39

Z = 0.39 has a p-value of 0.6517.

0.6517 = 65.17% probability that the time is less than 10 minutes.

Item b:

The probability is the <u>one subtracted by the p-value of Z when X = 5</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 8.9}{2.8}$

Z = -1.39

Z = -1.39 has a p-value of 0.0823.

0.0823 = 8.23% probability that the time is more than 5 minutes.

Item c:

The probability is the <u>p-value of Z when X = 15 subtracted by the p-value of Z when X = 8</u>, hence:

X = 15:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{15 - 8.9}{2.8}$

Z = 2.18

Z = 2.18 has a p-value of 0.9854.

X = 8:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8 - 8.9}{2.8}$

Z = -0.32

Z = -0.32 has a p-value of 0.3745.

0.9854 - 0.3745 = 0.6109 = 61.09%.

More can be learned about the normal distribution at brainly.com/question/4079902

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5 0

2 years ago

Determine the values of the unlabeled parts of the triangle.

____ [38]

Answer:

∠Q = 63.4º, PQ = 2, QO = 4.47

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.

Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).

90 + 26.6 + ∠Q = 180

∠Q + 116.6 = 180

∠Q = 180 - 116

∠Q = 63.4°

We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:

$\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47$

4 0

3 years ago

28. Katrina buys a 64-ft roll of fencing to

Andrei [34K]

Answer:

I hope this answer is helpful for you to

6 0

3 years ago

Find the midpoint of the segment joining the points (7,-4) and (9,4).

umka21 [38]

Jus take the average
so
the midpoint of
(x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
basically average the x and y terms

so
(7,-4) and (9,4)
average of 7 and 9 is 8
average of -4 and 4 is 0
(8,0) is the midpoint

A

5 0

3 years ago

Write the answer as an inequality <br> A number p plus 7 is greater than 24

Evgesh-ka [11]

Answer:

p + 7 > 24

Step-by-step explanation:

7 0

3 years ago