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3 years ago

(h º g º f)(x)? 2x3 + 1 8x3 + 9x + 1 8x3 + 12x2 + 6x + 1 8x3 + 24x2 + 24x + 8

Mathematics

2 answers:

AleksandrR [38]3 years ago

8 0

Answer:

First one is A. $2x^{3} + 1$

Second one is D. $8x^{3} + 24x^{2} +24x + 8$

Step-by-step explanation:

Edge 2020

Tom [10]3 years ago

4 0

Answer:

d on edge

Step-by-step explanation:

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The pyramid shown has a square base that is 32 centimeters on each side. The slant height is 24 centimeters. What is the lateral

tensa zangetsu [6.8K]

Triangle=1/2 times base times height
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height=24

the lateral surface area is not including bottom so just the 4 side triangles

4 times 1/2 times base times height
4 times 1/2 times 32 times 24
2 times 32 times 24
1536

lateral surface area is 1536 square centimeters

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3 years ago

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Please help with both thanks

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400/10=d

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Hens usually begin laying eggs when they are about 6 months old. Young hens tend to lay smaller eggs, often weighing less than t

Serjik [45]

Answer:

a) The standard deviation of the egg's weights will be 3.37 grams.

b) The standard deviation is 4.55g.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean \mu and standard deviation \sigma, the z-score of a value X is given by:

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

Each z-score value has an equivalent p-value, that represents the percentile that the value X is.

The desired minimum weight is 54 grams.

a) The average weight of the eggs produced by the young hens is 50.9 grams, and only 28% of their eggs exceed the desired minimum weight. If a Normal model is appropriate, what would the standard devia- tion of the egg weights be?

This means that a value of $X = 54$ is in the 100-28 = 72nd percentile.

What is the z-score of the p-value of 0.72? We have to look at the zscore table. This value is z = 0.92. This means that when $X = 54, Z = 0.92$ . We also have that $\mu = 50.9$ . So, we can apply the formula and find $\sigma$

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

$0.92 = \frac{54 - 50.9}{\sigma}$

$0.92\sigma = 3.1$

$\sigma = \frac{3.1}{0.92}$

$\sigma = 3.37$

The standard deviation of the egg's weights will be 3.37 grams.

b) By the time these hens have reached the age of 1 year, the eggs they produce average 67.1 grams, and 98% of them are above the minimum weight.

This means that a value of $X = 54$ is in the 2nd percentile.

What zscore has a pvalue of 0.02? This is a zscore of -2.88. So, when $X = 54, Z = -2.88$ . We also have that $\mu = 67.1$ . So, again, we can apply the formula and find $\sigma$ .