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zepelin [54]
4 years ago
9

If x is a normal random variable with a standard deviation of 10, then 3x has a standard deviation equal to:

Mathematics
1 answer:
kicyunya [14]4 years ago
4 0
Standard deviation(σ_{x}) = √V(X) = 10
Therefore, variance of X. V(X) = 10² = 100

Variance of aX is given by,
V(aX) = a²V(X)

Therefore, variance of 3X will be,
V(3X) = 3²V(X) = 9(100) = 900

Therefore, standard deviation of 3X is,

σ_{3x} = √V(3X) = √900 = 30
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-10 + square root of 2x+1 = -5
Citrus2011 [14]

Answer:

Step-by-step explanation:

-10+sqrt2x+1 = -5

sqrt2x+1 = -5+10

sqrt2x+1 = 5

2x+1 = sqrt5

2x = sqrt5-1

x = (sqrt5-1)/2

5 0
3 years ago
A 48 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
Y_Kistochka [10]

Complete question :

A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three

Answer:

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

Step-by-step explanation:

Let :

Length of first piece = x

Length of second = 2x

Length of third = 3x

The total lengtb of board = 48 inches

Hence,

First + second + third = 48

x + 2x + 3x = 48

6x = 48

x = 48 / 6

x = 8

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

6 0
3 years ago
Mei Mei left her house at time zero and drove for 4 minutes to the store, at a speed of 2 blocks per minute. Then she stopped an
m_a_m_a [10]

The graph for Mei Mei' trip is attached accordingly. Also attached are the  values derived from the question.

<h3>What is the explanation for the graph?</h3>

The secret to comprehending the graph is to understand that every time Mei Mei spent while she was on the way to bank and back were are all computed cumulatively.

This means that when she stops at the store which is 8 blocks away from home (that is 2 blocks per min x 4 mins = 8blocks) the time spent is recorded as 4 + 5 at location 8 blocks, which is equals 9 minutes.

Also take note of the fact that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

Learn more about graphs at:

brainly.com/question/25020119

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6 0
2 years ago
??? answer + explanation is 11 points
Tanya [424]

Answer:

c

Step-by-step explanation:

80/10=8. so answer is c

5 0
1 year ago
Read 2 more answers
Which of these shapes is congruent to the given shape? a quadrilateral, tilting right, plotted on a grid. a. a quadrilateral plo
Reptile [31]

Option D is correct.

Figures are missing in the question.

The images below shows the missing figures of question.

<h3>Solution:</h3>

For congruent figures, we need the same shape, same area, and inverse direction.

Congruent figures have congruency. That seems simple enough, but congruent figures need not be turned the same way or face the same direction to be congruent.

In the case of geometric figures, line segments with the same length are congruent and angle with the same measure are congruent.

In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects.

In this sense, two plane figures are congruent implies that their corresponding characteristics are "congruent" or "equal" including not just their corresponding sides and angles, but also their corresponding diagonals, perimeters, and areas.

The figure in option D satisfies all these conditions. Hence, Option D is correct.

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7 0
2 years ago
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