The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.

To find the equation of the line you first find the slope or m using any two points.

m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so

m=(3--5)/(-2-2)

m=8/-4

m=-2

So far for y≤mx+b we have:

y=-2x+b using either point we can solve for b, I'll use (2,-5)

-5=-2(2)+b

-5=-4+b

-1=b

So the line is:

y=-2x-1 and since y≤ the line:

y≤-2x-1

5 0

3 years ago

Evaluate 8+3e when e=2

larisa [96]

8+3e
8+3(2)
8+6
=14

The answer is 14
hope this helps

8 0

3 years ago

Read 2 more answers

An independent-measures research study uses two samples, each with n= 10 participants. If the data produce a t statistic of t =

solong [7]

Answer:

The correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01

Step-by-step explanation:

Consider the provided information.

The size of sample 1 = n1 = 10

The size of sample 2 = n2 = 10

It is given that the test statistic is: t = 2.095

For α = 0.05

ndf = n1 + n2 - 2

Substitute the respective values in the above formula.

ndf = 10 + 10 - 2 = 18

Two Tailed Test:

From the table, critical value of t = 2.1009

But the calculated value of t = 2.095 which is less than critical value of t = 2.1009, Fail to reject $H_0$ .

For α = 0.01

From the table, critical value of t = 2.8784

But the calculated value of t = 2.095 which is less than critical value of t = 2.8784, Fail to reject $H_0$ .

Hence, the correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01

4 0

3 years ago