Answer:
Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Step-by-step explanation:
The hypotheses would be;
Null hypothesis;H0: μ = 500
Alternative hypothesis;Ha: μ ≠ 500
Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.
Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.
Answer:
x = a(c-b)
Step-by-step explanation:
x/a + b = c
-b -b
x/a = c - b
times a times a
x = a(c-b)
Answer:
B
Step-by-step explanation:
Here, we want to the find the value of the x.
By bisecting the angle, the ray in question divides it into two other angles which are equal.
We proceed as follows;
x + 7 = 2x -11
Collect like
terms
2x -x = 7 + 11
x = 18
Answer:
70 degrees = a
Step-by-step explanation:
Triangle= 180 degrees.
Therefore, since a and the unmarked angle are congruent since it is an isosceles triangle, we subtract 40 from 180, with a result of 140. With 140, we divide by 2 to find the degrees for both the unmarked angle and angle a, since they are congruent. 140/2 = 70, Angle A will equal to 70 degrees