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andrey2020 [161]
3 years ago
8

Mark recorded the growth of a plant over 8 weeks. The equation y=0.2x+2 represents the height y, in inches, after x weeks.

Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

Step-by-step explanation:

The equation representing the growth of the plant after x weeks is expressed as

y = 0.2x+2

Where

x represents the number of weeks.

y represents the height of the plant after x weeks in inches.

A.

The height of the plant after week 3 was about 2.6 inches. We can check by substituting x = 3 into the equation. It becomes

y = 0.2 × 3 + 2 = 2 + 0.6 = 2.6 inches. It is correct.

B is incorrect.

C.

The height of the plant after week 9 was about 3.8 inches. We can check by substituting x = 9 into the equation. It becomes

y = 0.2 × 9 + 2 = 2 + 1.8 = 3.8 inches. It is correct.

D is incorrect

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Step-by-step explanation:

Let the two numbers be x and y

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x-y=-41

By substitution

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2 years ago
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10
steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, \mu = 70, \sigma = 3.

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

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

Z = \frac{67 - 70}{3}

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Z = -1 has a p-value of 0.16.

X = 45:

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

Z = \frac{45 - 70}{3}

Z = -8.3

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The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

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