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:
AAS, the two equal angles, the two right triangles, and the shared side
Step-by-step explanation:
Answer: m = 4
Step-by-step explanation: This is a linear equation.
Linear equations can be written in the form y = mx + b where
the multiplier, m, represents the slope of the line and the <em>b</em>
or the constant term represents the y-intercept of the line.
So the slope of this line is simply the multiplier
which is the coefficient of the x term which is 4.
The variable that's used to represent slope is <em>m</em>.
So we say that m = 4.
Answer:
a = - 6
Step-by-step explanation:
Given
f(x) = 3x + 5 , then
f(a) = 3a + 5 and f(a) = - 13 , then equating the right sides
3a + 5 = - 13 ( subtract 5 from both sides )
3a = - 18 ( divide both sides by 3 )
a = - 6