<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u> $y + 3 = \frac{2}{3}(x -5)$ <u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

Given that,

slope = 2/3

$m = \frac{2}{3}$

The line passes through (5, -3)

Substitute m = 2/3 and $(x_1, y_1)$ = (5, -3) in point slope form

$y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)$

Thus equation of line in point slope form is found

8 0

3 years ago

Your company is considering submitting a bid on a major project. You determine that the expected completion time is 130 weeks an

Olenka [21]

Answer:

Option C) 146.5

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 130 weeks

Standard Deviation, σ = 10 weeks

We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X<x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 130}{10})=0.95$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 130}{10} = 1.645\\x = 146.45 \approx 146.5$

The project should be completed in 146.5 weeks or less.

Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.

7 0

3 years ago