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3 years ago

Prove: An odd number cubed is an odd number. (2n + 1)^3 = [ ? ]n^3 + [ ? ]n^2 + [ ? ]n [ ? ](4n3 + 6n2 + 3n) + [ ? ] = an odd

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

Step-by-step explanation:

We know that odd * odd = odd

Thus odd*odd*odd = odd*odd = odd

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The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard

arsen [322]

Answer:

A tree with a height of 6.2 ft is 3 standard deviations above the mean

Step-by-step explanation:

⇒ $1^s^t$ statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)

an X value is found Z standard deviations from the mean mu if:

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

In this case we have: $\mu=5\ ft$ $\sigma=0.4\ ft$

We have four different values of X and we must calculate the Z-score for each

For X =5.4\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.4-5}{0.4}=1$

Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.

⇒ $2^n^d$ statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

For X =4.6 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{4.6-5}{0.4}=-1$

Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .

⇒ $3^r^d$ statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.8-5}{0.4}=2$

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒ $4^t^h$ statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{6.2-5}{0.4}=3$

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

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3 years ago

Classify the following expression by degree and term 5x+2x^2-8

Lelechka [254]

Huh ? What’s that mean

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3 years ago

Fifty trees grow in a forest. Workers cut down 23 of the trees. Then they plant 38 new ones. After all the cutting and planting,

ololo11 [35]

Answer:

Option A. 65 trees

Step-by-step explanation:

From the question given:

50 trees was in the forest. Then 23 of them were cut down.

The remaining trees = 50 — 23 = 27 trees.

Now 38 new trees were plant.

Total trees after cutting and planting = 27 + 38 = 65 trees

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3 years ago

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James has $32 and earns $10 per week for his allowance. What is the initial value for the scenario described?

nignag [31]

32 is your initial value, because that is what he starts with

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Small juice boxes come in packages of 6. Yogurt treats come in packages of 10. Paula wants to have the exact same number of each

erastovalidia [21]

if she buys 10 of the small juice box packages and six of the yogurt treat packages then she should have an even number of both. That would be 60 of each.

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3 years ago

Prove: An odd number cubed is an odd number. (2n + 1)^3 = [ ? ]n^3 + [ ? ]n^2 + [ ? ]n [ ? ](4n3 + 6n2 + 3n) + [ ? ] = an odd​

Prove: An odd number cubed is an odd number. (2n + 1)^3 = [ ? ]n^3 + [ ? ]n^2 + [ ? ]n [ ? ](4n3 + 6n2 + 3n) + [ ? ] = an odd