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Mathematics

1 answer:

Setler79 [48]2 years ago

6 0

Answer:

352sq.cm.

Step-by-step explanation:

There are a total of 5 cubes.

To find the surface area of the corner cubes, we have have to multiply 4^2 * 5 because one of the surface is attached to the other cube's surface. 16*5 is one cube's surface area, so times 2 gives us 160.

To find the surface area of the cubes in the middle, we have to multiply 4^2 * 4 because two of their sides are attached to other cube's side. So 16*3 = 64 and we have 3 of them so it's 192.

Now adding all the surface area, 192 + 160, we get a total of 352 for the surface area of that figure.

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For a bivariate random variable (x, y ), if the covariance is 1225, the variance of x is 1600, and the variance of y is 2500. Fi

prisoha [69]

If the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.

Given the covariance is 1225, variance of x is 1600,variance of y is 2500.

We have to find the correlation coefficient between x and y.

Covariance is basically a measure of the joint variability of two random variables.

Variance is a basically a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value.

The correlation coefficient is basically the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis.

We know that the formula of correlation coefficient is as under:

r= $covariance (x,y)/\sqrt{variance(x)}*\sqrt{variance (y)}$

r=1225/ $\sqrt{1600}*\sqrt{2500}$

r=1225/(40*50)

r=1225/2000

r=0.6125

Hence if the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.

Learn more about correlation coefficient at brainly.com/question/4219149

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2 years ago

In a game if you roll 1 on a 6 sided number cube you lose a turn. Answer for a b and c and explain each answer show your work.

Drupady [299]

(A) The probability that you roll a 1 would be 1/6 because there are six sides of a dice and only one is a 1.

(B) The probability that you either roll a 1 or don't roll a 1 is 1/6 and 5/6, since the probability that you do roll a 1 is 1/6 and the probability that you don't is 5/6 since the other 5 sides of the dice are not ones.

(C) As stated above, the probability of not rolling a 1 is 5/6 since there are 6 sides of the dice and 5 are NOT ones.

Hope that helped!

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3 years ago

The perimeter of the pentagon is 62 units find the length of side BC

kipiarov [429]

recall that the perimeter is simply the sum of all outer sides of a figure.

$\bf 12+3x+10+(x+1)+(2x+3)=62\implies 6x+26=62 \\\\\\ 6x=36\implies x=\cfrac{36}{6}\implies \boxed{x=6} \\\\\\ BC=(6)+1\implies BC=7$