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3 years ago

15 points!

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Are you sure you didn't have an image to go along with this? Cause this is very unclear...

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The length of the rectangle is twice the width. Find the length of the rectangle if the perimeter is 42m.

kompoz [17]

Answer:

28m

Step-by-step explanation:

2x+x=42

3x=42

x=14

However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.

So: 14 times 2=28

8 0

2 years ago

When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a

N76 [4]

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)

6 0

2 years ago

PLZZZ ANSWER QUICK!!!

GREYUIT [131]

Answer:

A. x - 38.45 = 17.71

Step-by-step explanation:

The price of the shirt subtracted off the amount of money she had before would give 17.71

7 0

2 years ago

In the number 3.072 the digit 7 is in the ? place and the digit 2 is in the ? place.

notka56 [123]

Answer:

7= Hundredths

2=Thousandths

8 0

2 years ago

An electronic system has each of two different types of components in joint operation. Let X and Y denote the lengths of life, i

AURORKA [14]

Answer:

The average cost is $E(C) = 66$

The standard deviation of cost is $\sigma = 9.798$

Step-by-step explanation:

From the question we are told that

$E(X) = 4$

$E(Y) = 2$

$E(X^2) = 24$

$E(Y^2) = 8$

The cost of replacing the two component is C = 50 + 2 X + 4 Y

The variance of X is mathematically represented as

V(X) = $E(X^2) - [E(X)]^2$

Substituting values

$V[X] = 24 - 4^2$

$V[X] =8$

The variance of Y is mathematically represented as

V(Y) = $E(Y^2) - [E(Y)]^2$

Substituting values

$V[Y] = 8 - 2^2$

$V[X] =4$

The average of replacing the two component is

$E(C) = 2 * E(X) + 4* E(Y)$

substituting value

$E(C) = 50 + 2 * (4) + 4* (2)$

$E(C) = 66$

The variance of replacing the two component is

$V(C) = V(50 + 2X +4Y)$ Note: The variance of constant is zero

and X and Y are independent

=> $V(C) = 2^2 * V(X) + 4^2 * V(Y)$

substituting values

=> $V(C) = 4 * 8 + 16 * 4$

=> $V(C) = 32 + 64$

=> $V(C) = 96$

The standard deviation is

$\sigma = \sqrt{V(C)}$

substituting values

$\sigma = \sqrt{96}$

$\sigma = 9.798$

6 0

2 years ago