15k + 9 = 3(2k + 3) + 9k
15k + 9 = 6k + 9 + 9k
15k + 9 = 15k + 9
0 = 0
D) all Values
Answer:
Step-by-step explanation:
Given that :
population mean μ = 120
sample size n = 37
sample mean x = 111
standard deviation = 21
The null hypothesis and the alternative hypothesis can be computed as:
The null hypothesis:

The alternative hypothesis:

Since this test is two-tailed, the value for the test statistics can be computed as:



z = -2.605
z = -2.61
Since this is a two-tailed test
P-value = 2(z < -2.61)
From the z table;
P-value = 2(0.0045)
P -value = 0.009
Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance
Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.
Answer:
A
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
product of diagonals
Here AC = 13 and BD = 15 are the diagonals, hence
A = 0.5 × 13 × 15 = 97.5 units² → A