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3 years ago

Which of the following best describes the graph below?

Mathematics

2 answers:

loris [4]3 years ago

8 0

Answer:

D. It is a one-to-one function.

Step-by-step explanation:

It passes the vertical line test so it is a function

It passes the horizontal line test so it is one-to-one

xxMikexx [17]3 years ago

3 0

Answer: b

Step-by-step explanation:

becuase

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Mikes plumbing charges 68 for coming to your house and 17 per hour for labor if I paid him 357, how many hours, h, was mike at m

Roman55 [17]

Answer:

b. $68 + 17h = 357$

f. 17 hours

Step-by-step explanation:

Charges for coming to my house = $68 (this will be the constant of the equation)

Amount charged per hour labor = $17

hours = h

Total amount paid to Mike = 357

The equation that represents this situation can be expressed as:

$68 + 17h = 357$

Solve for h

$68 + 17h - 68 = 357 - 68$ (subtraction property of equality)

$17h = 289$

$\frac{17h}{17} = \frac{289}{17}$ (division property of equality)

$h = 17$

Mike was in my house for 17 hours.

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3 years ago

Determine if the two figures are congruent and explain your answer.

forsale [732]

The two figures are congruent because the side lengths are the same, therefore making the angle measures the same.

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Ugo [173]

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4 years ago

The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is dra

olga2289 [7]

Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

<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.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For this problem, these parameters are given as follows:

$\mu = 180, \sigma = 20, n = 40, s = \frac{20}{\sqrt{40}} = 3.1623$

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:

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

By the Central Limit Theorem:

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

$Z = \frac{177.5 - 180}{3.1623}$

Z = -0.79

Z = -0.79 has a p-value of 0.2148.

There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

More can be learned about the normal distribution at brainly.com/question/28135235

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2 years ago