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3 years ago

Help please, i need this done asap thanks in advance

Mathematics

1 answer:

alina1380 [7]3 years ago

7 0

Answer:

<AOC

<AOB

<BOC

Step-by-step explanation:

The central angles are formed at point O, which is the center of the circle.

All the central angles are marked in the attachment.

The central angles are

: $m\angle AOC$ . This is a right angle and it is 180 degrees.

: $m\angle AOB$

: $m\angle BOC$

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The Normal model N(65, 2.5) describes the distribution of heights of college women (inches). Which of the following questions

Tema [17]

Answer:

a) 11.51% probability that a random college woman has a height of 68 inches or more

b) This height is 70.135 inches.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

The normal distribution has two parameters, which are the mean and the standard deviation.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 65, \sigma = 2.5$

a. What is the probability that a random college woman has a height of 68 inches or more?

This is 1 subtracted by the pvalue of Z when X = 68. So

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

$Z = \frac{68 - 65}{2.5}$

$Z = 1.2$

$Z = 1.2$ has a pvalue of 0.8849

1 - 0.8849 = 0.1151

11.51% probability that a random college woman has a height of 68 inches or more

b. To be in the Tall Club, a woman must have a height such that only 2% of women are taller. What is this height?

This weight is the 100-2 = 98th percentile, which is the value of X when Z has a pvalue of 0.98. So X when Z = 2.054.

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

$2.054 = \frac{X - 65}{2.5}$

$X - 65 = 2.054*2.5$

$X = 70.135$

This height is 70.135 inches.

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4 years ago

What’s the slope that’s passed though (5,2) and (7,7)

ale4655 [162]

The slope is equal to: 5/2

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3 years ago

The area of a desk top is 8 ¾ square feet. If the length is 3 ½ft., find the width.

Allushta [10]

You would divide the total area by the length.
8 3/4 divided by 3 1/2
35/4 / 7/2
35/4 * 2/7 = 70/28 =2 1/2 ft

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4 years ago

Karl set out to Alaska on his truck.

Serga [27]

Answer:

the amount of fuel consumed every 100 kilometers is 62.5 litres.

Step-by-step explanation:

To determine the amount of fuel consumed every 100 kilometers.

Note: since the graph is a straight line graph (linear graph) the amount of fuel consumed every 100 kilometers is constant (i.e the same for every 100 kilometers). So, we only need to derive the amount of fuel consumed any 100 kilometers on the graph.

From the graph, the amount of fuel consumed for the first 100 kilometers is;

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