Answer:
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Step-by-step explanation:
Given that:
Mean lifetime (m) = 1200
Sample size (n) = 25
Sample mean (x) = 1180
Standard deviation (s) = 80
α = 0.05
The null hypothesis :
H0 : m = 1200
Alternative hypothesis : m ≠1200
The t statistic :
(x - m) / (s/√n)
(1180 - 1200) / (80 / √25)
-20 / (80/5)
= - 1.250
P value = 0.10565 ( p value calculator)
Reject Null hypothesis if p > α
At α = 0.05
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Answer:

Step-by-step explanation:
Given that,
Center = (2,-9)
Radius of the circle, r = 7
We need to find the equation of a circle with a center at (2, -9) and a radius of 7. It can be given by :

Put h = 2, k = -9 and r = 7 So,

Hence, this is the required solution.
Answer:
2. 3/4, 50%, 1/4, 12.5%
Step-by-step explanation:
Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4
1/4 = 0.25
50%
= 50/100
= 0.5
12.5%
= 12.5/100
= 0.125
3/4
= 0.75
in order from greatest to least?
3/4, 50%, 1/4, 12.5%
1. 12.5%, 1/4, 50%, 3/4
2. 3/4, 50%, 1/4, 12.5%
3. 3/4, 12.5%, 1/4, 50%
4. 1/4, 50%, 3/4, 12.5%
Answer: 42
Step-by-step explanation:
Let A represents the number of freshmen participated in sports and B represents the number of freshmen participated in clubs.
Then , we have given that

Using formula

We have,

Now, the number of students are involved in just sports is given by :-

Hence, 42 students are involved in just sports.