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.
10.5 pounds is the answer to the question
Answer:
<h2>215.1 yd²</h2>
Step-by-step explanation:
We have three triangles with base b = 9yd and height h = 10yd, and one triangle in the base of pyramid with base b = 9yd and height h = 7.8yd.
The formula of an area of a triangle:

Substitute:

The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan
Answer:
0.6 probability that 
Step-by-step explanation:
The probability distribution is given in the table.
Probability that x is between -2 and 2.
Between -2 and 2, inclusive, we have -2, 0 and 2. So

From the table:
. So

0.6 probability that 