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2 years ago

MULTIPLE CHOICE PLEASE HELP

Mathematics

1 answer:

bekas [8.4K]2 years ago

4 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{3}$ x + 5 ← is in slope- intercept form

with slope m = $\frac{1}{3}$

• Parallel lines have equal slopes, hence

y = $\frac{1}{3}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 6, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = $\frac{1}{3}$ x + 2 → C

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Answer

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2 years ago

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 180, \sigma = 8$

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

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

$Z = \frac{190 - 180}{8}$

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

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2 years ago

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2 years ago

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Vika [28.1K]

The formula:
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h: height
L: length
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s2: side 2 (cross-sectional area)
s3: side 3 (cross-sectional area)

Here’s an example (see attached image)

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I hope this helped? Comment if you need more explanation or anything!

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2 years ago