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2 years ago

What is the value of z?

Mathematics

2 answers:

ratelena [41]2 years ago

8 0

Solve:-

This triangle's angles sum should equal to 180°. Lets find z:-

180 - 62 = 118
118 - 95 = 23

Angle z = 23°

katovenus [111]2 years ago

7 0

Z=180º-(62º+95º)
Z=180º-157º
z=23º

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In AMNO, the measure of Z0=90°, the measure of ZM=13°, and OM = 9.6 feet. Find

algol [13]

Answer:

Hypotenuse MN = 10.54 ft (Approx.)

Step-by-step explanation:

Given:

Base OM = 9.6 ft

Angle θ = 13'

Find:

Hypotenuse MN

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Using trigonometry function

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2 years ago

A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o

Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<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.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

$\mu = 400, \sigma = 30$ .

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

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

$Z = \frac{420 - 400}{30}$

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

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