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4 years ago

State the domain of the relation.

Mathematics

1 answer:

gogolik [260]4 years ago

7 0

Answer:

The Domain of the relationship is the set: {-3, -2, -1, 0, 1, 2} (Answer B)

Step-by-step explanation:

Let's recall that the Domain of a relationship is the set of values in the starting set for which there is a correspondent value in the final set.

In this case, we have a set of numbers on the x axis, which are connected with values in the y axis as indicated by the plotting of the points on the (x,y) plane.

The Domain will consist of all those x-values for which we see in the given plot connected to a corresponding y-value.

So, we see that:

the x-value -3 is connected to the y-value -4

the x-value -2 is connected to the y-value -3

the x-value -1 is connected to the y-value -1

the x-value 0 is connected to the y-value 0

the x-value 1 is connected to the y-value 3

and the x-value 2 is connected to two y-values: 4 and 5

Therefore all those x-values are part of the Domain of this relationship. That is, the set: {-3, -2, -1, 0, 1, 2}

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The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches

Brilliant_brown [7]

Answer:

a) 1.93

b) 97.32% of men are SHORTER than 6 feet 3 inches

c) 2.71

d) 0.34% of women are TALLER than 5 feet 11 inches

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

For man, $\mu = 69.8, \sigma = 2.69$

A feet has 12 inches, so this is Z when X = 6*12 + 3 = 75. So

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

$Z = \frac{75 - 69.8}{2.69}$

$Z = 1.93$

b. What percentage of men are SHORTER than 6 feet 3 inches?

Z = 1.93 has a pvalue of 0.9732

97.32% of men are SHORTER than 6 feet 3 inches

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

For woman, $\mu = 64.1, \sigma = 2.55$

Here we have X = 5*12 + 11 = 71.

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

$Z = \frac{71 - 64.1}{2.55}$

$Z = 2.71$

d. What percentage of women are TALLER than 5 feet 11 inches?

Z = 2.71 has a pvalue of 0.9966

1 - 0.9966 = 0.0034

0.34% of women are TALLER than 5 feet 11 inches

5 0

4 years ago

Dorothy wrapped 2 presents in 4 minutes. At that rate, how many

madam [21]

Answer:

Step-by-step explanation:

2 presents per 4 minutes is 30 presents per hour multiplied by 6 hours is 90 presents

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3 years ago

Triangular prism advertising boards are being placed along the edge of the arena’s stage with the following dimensions: Select w

masya89 [10]

The dimensions be of any advertisement that wants to fill the longest side of the shape is of 2m and 1 m and 0.75 m

According to the statement

we have given that the Triangular prism of size 0.75 m, 1m and length of 2m.

And we have to find the by which size of advertisement board need to fill the longest side of the shape.

A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

So, for this purpose,

we know that the longest side of triangular prism is 2m and we have to cover it with the advertising board.

Obviously the length of the advertising board is of 2m to cover the longest side of the shape.

So, The dimensions be of any advertisement that wants to fill the longest side of the shape is of 2m and 1 m and 0.75 m

Learn more about triangular prism here brainly.com/question/16595877

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4 0

2 years ago

In your math notebook: Give an approximation of the width of the river, support your answer with reasoning from the measurements

Step2247 [10]

Answer:

um i cant read it and why do you use cringet emojis like TwT

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Jon has $45.00. He plans to spend 4/5 of his money on sports equipment. How much will <br> h spend?

Vika [28.1K]

For this, you simply divide 45/5 which gets you 9 and you multiply that by 4 which gets you 36$

6 0

3 years ago

Read 2 more answers