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3 years ago

3) A cube has width of 6 cm. What is the volume of the cube?

Mathematics

2 answers:

natta225 [31]3 years ago

8 0

Answer:

3) 216 because 6x6x6 is 216

4) 512 because 8x8x8 is 512

solong [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Idk I need your help

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GIVING BRAINLIST

gtnhenbr [62]

The answer is A.30.

3 0

3 years ago

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Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, the

fenix001 [56]

Answer:

(a): Marginal pmf of x

$P(0) = 0.72$

$P(1) = 0.28$

(b): Marginal pmf of y

$P(0) = 0.81$

$P(1) = 0.19$

(c): Mean and Variance of x

$E(x) = 0.28$

$Var(x) = 0.2016$

(d): Mean and Variance of y

$E(y) = 0.19$

$Var(y) = 0.1539$

(e): The covariance and the coefficient of correlation

$Cov(x,y) = 0.0468$

$r \approx 0.2657$

Step-by-step explanation:

Given

x = bottles

y = carton

See attachment for complete question

Solving (a): Marginal pmf of x

This is calculated as:

$P(x) = \sum\limits^{}_y\ P(x,y)$

So:

$P(0) = P(0,0) + P(0,1)$

$P(0) = 0.63 + 0.09$

$P(0) = 0.72$

$P(1) = P(1,0) + P(1,1)$

$P(1) = 0.18 + 0.10$

$P(1) = 0.28$

Solving (b): Marginal pmf of y

This is calculated as:

$P(y) = \sum\limits^{}_x\ P(x,y)$

So:

$P(0) = P(0,0) + P(1,0)$

$P(0) = 0.63 + 0.18$

$P(0) = 0.81$

$P(1) = P(0,1) + P(1,1)$

$P(1) = 0.09 + 0.10$

$P(1) = 0.19$

Solving (c): Mean and Variance of x

Mean is calculated as:

$E(x) = \sum( x * P(x))$

So, we have:

$E(x) = 0 * P(0) + 1 * P(1)$

$E(x) = 0 * 0.72 + 1 * 0.28$

$E(x) = 0 + 0.28$

$E(x) = 0.28$

Variance is calculated as:

$Var(x) = E(x^2) - (E(x))^2$

Calculate $E(x^2)$

$E(x^2) = \sum( x^2 * P(x))$

$E(x^2) = 0^2 * 0.72 + 1^2 * 0.28$

$E(x^2) = 0 + 0.28$

$E(x^2) = 0.28$

So:

$Var(x) = E(x^2) - (E(x))^2$

$Var(x) = 0.28 - 0.28^2$

$Var(x) = 0.28 - 0.0784$

$Var(x) = 0.2016$

Solving (d): Mean and Variance of y

Mean is calculated as:

$E(y) = \sum(y * P(y))$

So, we have:

$E(y) = 0 * P(0) + 1 * P(1)$

$E(y) = 0 * 0.81 + 1 * 0.19$

$E(y) = 0+0.19$

$E(y) = 0.19$

Variance is calculated as:

$Var(y) = E(y^2) - (E(y))^2$

Calculate $E(y^2)$

$E(y^2) = \sum(y^2 * P(y))$

$E(y^2) = 0^2 * 0.81 + 1^2 * 0.19$

$E(y^2) = 0 + 0.19$

$E(y^2) = 0.19$

So:

$Var(y) = E(y^2) - (E(y))^2$

$Var(y) = 0.19 - 0.19^2$

$Var(y) = 0.19 - 0.0361$

$Var(y) = 0.1539$

Solving (e): The covariance and the coefficient of correlation

Covariance is calculated as:

$COV(x,y) = E(xy) - E(x) * E(y)$

Calculate E(xy)

$E(xy) = \sum (xy * P(xy))$

This gives:

$E(xy) = x_0y_0 * P(0,0) + x_1y_0 * P(1,0) +x_0y_1 * P(0,1) + x_1y_1 * P(1,1)$

$E(xy) = 0*0 * 0.63 + 1*0 * 0.18 +0*1 * 0.09 + 1*1 * 0.1$

$E(xy) = 0+0+0 + 0.1$

$E(xy) = 0.1$

So:

$COV(x,y) = E(xy) - E(x) * E(y)$

$Cov(x,y) = 0.1 - 0.28 * 0.19$

$Cov(x,y) = 0.1 - 0.0532$

$Cov(x,y) = 0.0468$

The coefficient of correlation is then calculated as:

$r = \frac{Cov(x,y)}{\sqrt{Var(x) * Var(y)}}$

$r = \frac{0.0468}{\sqrt{0.2016 * 0.1539}}$

$r = \frac{0.0468}{\sqrt{0.03102624}}$

$r = \frac{0.0468}{0.17614266944}$

$r = 0.26569371378$

$r \approx 0.2657$ --- approximated

8 0

2 years ago

14. A family travels to Bryce Canyon for three days. On the first day they drove 150 miles. On the second day

olchik [2.2K]

Answer:

I'm guessing 170 miles.

Sry if i'm wrong, I tried my best.

It'll also make me happy if you would subscribe to my channel Yaya Playz 23, and my friends BonheurPlaysGames!!! and Sagesse Games, there small YTers as well. Thank you!

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3 years ago

A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack. If the retailer sold all the sh

Karolina [17]

We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.

Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.

Let us first find LCM of 24 and 5. The LCM is 120.

Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

$\text{Profit=}(24x)(8)-(5x)(30)\\\text{Profit=}192x-150x\\\text{Profit=}42x\\$

We can set this equal to the given profit to figure out the value of x first.

$42x=84\Rightarrow x=2$

Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.

8 0

3 years ago

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The area of a circle is 16pi cm2. What is the circle's circumstance?

gavmur [86]

I think you mean circumference...Area is $A= \pi r^{2}$ . We have the area so we need to use it to solve for the radius which we will then use in the circumference formula. $16 \pi = \pi r^{2}$ . Divide both sides by pi to get $\frac{16 \pi }{ \pi } = r^{2}$ . Of course the simplification of the left side gives us $16= r^{2}$ and r = 4. Now fill that in to the circumference formula, which is $C=2 \pi r$ , to get C $C=2 \pi (4)$ which is a circumference of $8 \pi$

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3 years ago