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Pie
4 years ago
11

The height of an acorn falling out of a tree is given by h=-16t+b. If an acorn takes 1 second to fall to the ground what is the

value of b?
Mathematics
1 answer:
ollegr [7]4 years ago
8 0
From the equation given above,
                               h = -16t + b
If it takes 1 second to fall to the ground, we substitute 1 to t of the equation,
                               h = -16(1) + b
Adding 16 to both sides of the equation, the value of b would be
                               h + 16 = b
or 
                                 b = h + 16
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2 years ago
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amm1812

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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}

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In this problem, we have that:

\mu = 79.7, \sigma = 8.4

B: Scores below the top 13% and above the bottom 56%

Below the top 13%:

Below the 100-13 = 87th percentile. So below the value of X when Z has a pvalue of 0.87. So below X when Z = 1.127. So

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

1.127 = \frac{X - 79.7}{8.4}

X - 79.7 = 8.4*1.127

X = 89

Above the bottom 56:

Above the 56th percentile, so above the value of X when Z has a pvalue of 0.56. So above X when Z = 0.15. So

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

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X = 81

The numerical limits for a B grade is between 81 and 89.

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3 years ago
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