Liliana wants to write an equivalent expression for n + 3 minus 5 n + 6. Which of her attempts uses the algebraic properties cor

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)

Answer:

The null hypothesis states that 48% of the healthcare provider's members received their flu shot.

The alternative hypothesis claims that the proportion of members who received their flu shot differs from 48%.

Step-by-step explanation:

A null hypothesis is a proposed statement regarding a population parameter that is tested for acceptance or rejection.

An alternative hypothesis presents a contradicting statement to the null hypothesis and is accepted when evidence disproves the null hypothesis.

We apply the slope formula by substituting the given points.

Here, x2 equals 5 and x1 equals -2; y2 equals -3 and y1 equals 6.

Thus, the line's slope is -9 divided by 7.