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Free_Kalibri [48]
3 years ago
9

A ball is dropped from a height of 12 feet and returns to a height that is one-

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0

Answer:

0.375ft

Step-by-step explanation:

Initial height: 12ft

First bounce: 12/2=12/2¹

Second bounce: (12/2¹)/2=12/2²

Third bounce: (12/2²)/2=12/2³

....

Fifth bounce: (12/2⁴)/2=12/2⁵

12/2⁵=12/32=0.375ft

nasty-shy [4]3 years ago
7 0

Answer:

0.375

Step-by-step explanation:

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What is the slope of the line determined by the points (5,-3) and (-9,-6)
Serggg [28]

Answer:

slope = \frac{3}{14}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (- 9, - 6)

m = \frac{-6+3}{-9-5} = \frac{-3}{-14} = \frac{3}{14}

6 0
3 years ago
I can’t figure this one out.
Nutka1998 [239]

the answer would be 5x-8

6 0
3 years ago
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Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 137.1 ft an
Rama09 [41]

Answer:

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

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.

In this question, we have that:

\mu = 137.1, \sigma = 3.2

A tree of this type grows in my backyard, and it stands 132.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

This is the pvalue of Z when X = 132.3. So

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

Z = \frac{132.3 - 137.1}{3.2}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

My neighbor also has a tree of this type growing in her backyard, but hers stands 143.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

This is 1 subtracted by the pvalue of Z when X = 143.5. So

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

Z = \frac{143.5 - 137.1}{3.2}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

7 0
3 years ago
Find the sum of the first 20 terms of the arithmetic series 0.5 + 1.1
exis [7]

Answer:

0.5+1.1+1.7+2.3+2.9+3.5+4.1+4.7+5.3+5.9+6.5+7.1+7.7+8.3+8.9+9.5+10.1+10.7+11.3+11.9

Step-by-step explanation:

tell me if this isn't 20 terms

8 0
3 years ago
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The thermometer in the pharmacy freezer reads 2 degrees Fahrenheit. what is the temp in Celsius
natali 33 [55]
Well the formula to convert Fahrenheit to Celsius is (temperature of Fahrenheit -32) * 5/9.
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3 years ago
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