Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original l

Answer:

Step-by-step explanation:

The probability distribution for the random variable X is provided.

X 4 5 6 7 Total

P 0.2 0.4 0.3 0.1 1

x*p 0.8 2 1.8 0.7 5.3

x^2*p 3.2 10 10.8 4.9 28.9

a) The expected value E(X), representing the mean of X, equates to 5.3.

Standard deviation is the square root of the variance, which amounts to 0.9.

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b) For the mean of the sample, we find:

Mean = 5.3

Variance = var(x)/n =

c)

Response:

This is the C=intercept of the regression line

Step-by-step clarification:

The regression line's slope is logically interpreted as the average increase in collar size for each 1cm increment in height.

Answer:

£700,000

Detailed explanation:

Let x represent the original price of the house. Keeping in mind that

Upon a 7% increase in the house value, it is now set at £749,000. We can express this as

We can solve for x now:

Thus, the initial valuation of the house was

£700,000

Answer:

The polynomial expression

To ascertain the multiplicity of 0, -2, -4, 5.

The multiplicity refers to how many times a root appears in a function.

First, identify the function's roots by setting it to zero.

Thus, the roots are x=0, -2, -4, and 5

To determine the roots' multiplicities:

The factor of x will give a root of x=0 with a multiplicity of 1

likewise,  x=-2 with a multiplicity of 3

x=-4 with a multiplicity of 2

and x=5 with a multiplicity of 4.