Answer:
Step-by-step explanation:
Corresponding scores before and after taking the course form matched pairs.
The data for the test are the differences between the scores before and after taking the course.
μd = scores before taking the course minus scores before taking the course.
a) For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
b) We would assume a significance level of 0.05. The P-value from the test is 0.65. The p value is high. It increases the possibility of accepting the null hypothesis.
Since alpha, 0.05 < than the p value, 0.65, then we would fail to reject the null hypothesis. Therefore, it does not provide enough evidence that scores after the course are greater than the scores before the course.
c) The mean difference for the sample scores is greater than or equal to zero
Answer:
First one is 6 16/21
Second one is 3 14/15
Step-by-step explanation:
Answer:
(8x + 1)° + ( 4x+11)° = 180° (linear pair )
8x +1 + 4x +11 = 180
8x + 4x + 1 + 11 = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x= 168/12
x = 14
Hey!
In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.
<em>Original Equation :</em>

<em>New Equation {Added Multiply Both Sides by V} :</em>

<em>Solution {New Equation Solved} :</em>

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.
<em>Old Equation :</em>

<em>New Equation {Switched} :</em>

Now we'll divide both sides by v to get v on its own.
<em>Old Equation :</em>

<em>New Equation {Added Divide Both Sides by V} :</em>

<em>Solution {New Equation Solved} :</em>

<em>So, this means that in the equation

,</em>

.
Hope this helps!
- Lindsey Frazier ♥