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Arlecino [84]
3 years ago
11

Consider the linear function that is represented by the equation y=-10x+6 and the linear function that is represented by the equ

ation y-36=8(x-4). Which statement is correct regarding their slopes and y-intercepts?
a. The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.

b. The function that is represented by the equation y=-10x+6 has a steeper slope, and the function that is represented by the equation y-36=8(x-4) has a greater y-intercept.

c. The function that is represented by the equation y-36=8(x-4) has a steeper slope, and the function that is represented by the equation y=-10x+6 has a greater y-intercept.

d. The function that is represented by the equation y-36=8(x-4) has a steeper slope and a greater y-intercept.
Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0

Answer:

The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.

Step-by-step explanation:

I took the test.

Hope this helps Y'all!!

Andru [333]3 years ago
4 0

The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.

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An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th
anastassius [24]

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

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

By the Central Limit Theorem

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

Z = \frac{18.06 - 17.48}{1.027740}

Z = 0.56

Z = 0.56 has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

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3 years ago
What would be the scale factor?
icang [17]
The scale factor would be 3
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3 years ago
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harkovskaia [24]

Answer:

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Step-by-step explanation:

We can find the greatest common factor by listing the factors of the 2 numbers, that is

Factors of 15 are 1, 3, 5, 15

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The common factors are 1, 3, 5, 15

The greatest common factor is 15

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There are 9 candidates total, 5 male and 4 female, who run for 4 committee positions. Suppose that each person is equally likely
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Use the hypergeometric distribution.
M=number of Men=5
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Assuming equal chance to get elected, then
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Reference: Hypergeometric distribution.

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