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blondinia [14]
3 years ago
8

Could someone please explain! I cant figure it out.

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

2^-2 = 1/2^2

so: (1/2^2)*(12*3)-5^3

simplify: (1/4)*36-125

36*(1/4) = 36/4 so: 9-125

subtract: -116

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Find the volume of the sphere.
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Answer:

volume = 682.67π  units³     or     2143.58 units³

Step-by-step explanation:

volume = 4/3πr³

volume = 4/3π8³ = 4/3π(512)

volume = 682.67π

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2 years ago
I need help with this please help *ASAP*
nadya68 [22]
You're correct on both!
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1) Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a r
VMariaS [17]

Answer:

1)

a) 0.9706 = 97.06% probability that x is less than 60.

b) 0.9987 = 99.87% probability that x is greater than 16.

c) 0.9693 = 96.93% probability that x is between 16 and 60.

d) 0.0294 = 2.94% probability that x is more than 60.

2)

a) 0.0668 = 6.68% probability that the thickness is less than 3.0 mm.

b) 0.0062 = 0.62% probability that the thickness is more than 7.0 mm

c) 0.9270 = 92.70% probability that the thickness is between 3.0 mm and 7.0 mm.

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.

1)

We have that \mu = 43, \sigma = 9

a) x is less than 60

This is the pvalue of Z when X = 60.

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

Z = \frac{60 - 43}{9}

Z = 1.89

Z = 1.89 has a pvalue of 0.9706

0.9706 = 97.06% probability that x is less than 60.

b) x is greater than 16

This is 1 subtracted by the pvalue of Z when X = 16.

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

Z = \frac{16 - 43}{9}

Z = -3

Z = -3 has a pvalue of 0.0013.

1 - 0.0013 = 0.9987

0.9987 = 99.87% probability that x is greater than 16.

c) x is between 16 and 60

This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16.

From a), Z when X = 60 has a pvalue of 0.9706.

From b), Z when X = 16 has a pvalue of 0.0013

0.9706 - 0.0013 = 0.9693

0.9693 = 96.93% probability that x is between 16 and 60.

d) x is more than 60

This is 1 subtracted by the pvalue of Z when X = 60.

From a), Z when X = 60 has a pvalue of 0.9706.

1 - 0.9706 = 0.0294

0.0294 = 2.94% probability that x is more than 60.

2)

Now \mu = 4.5, \sigma = 1

a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

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

Z = \frac{3 - 4.5}{1}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 = 6.68% probability that the thickness is less than 3.0 mm.

b) the thickness is more than 7.0 mm

This is 1 subtracted by the pvalue of Z when X = 7.

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

Z = \frac{7 - 4.5}{1}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938.

1 - 0.9938 = 0.0062

0.0062 = 0.62% probability that the thickness is more than 7.0 mm

c) the thickness is between 3.0 mm and 7.0 mm.

This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3.

From b), Z when X = 7 has a pvalue of 0.9938.

From a), Z when X = 3 has a pvalue of 0.0668

0.9938 - 0.0668 = 0.9270

0.9270 = 92.70% probability that the thickness is between 3.0 mm and 7.0 mm.

8 0
3 years ago
My brother needs help with 360 divided by 40 =36 tens divided by 4 tens
posledela
The answer is 90 or 9 tens.
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3 years ago
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