P^ = 9/300 = 0.03
H0 = p < 5%
H1 = p > 5%
standard deviation of sample distribution = sqrt[p(1 - p) / n] = sqrt[0.05(1 - 0.05)/300] = sqrt(0.0001583) = 0.01258
test statistics, z = (p^ - p) / standard deviation = (0.03 - 0.05) / 0.01258 = -1.589
P(-1.589) = 1 - P(1.589) = 1 - 0.94402 = 0.05598
Since, p = 0.05598 < significant level of 0.1, we reject the H0.
i.e. There is no sufficient evidence to suggest that the proportion of defective batteries is less than 5%.
The p-value of the test is 0.05598
Answer:
Step-by-step explanation:
If 
then angle 
is in the III quadrant.
Since 
then ![x=240^{\circ}\ [180^{\circ}+60^{\circ}]](https://tex.z-dn.net/?f=x%3D240%5E%7B%5Ccirc%7D%5C%20%5B180%5E%7B%5Ccirc%7D%2B60%5E%7B%5Ccirc%7D%5D)
(we get angle in the III quadrant)
Consider 
If 
then
Answer:
C. 16
Step-by-step explanation:
Brother - b years now.
Sister - s years now.
A brother is 12 years older than his sister.
b - s = 12
(b - 4) - brother 4 years ago.
Four years ago, the brother was 3 times as old as the sister is now.
b - 4 = 3s
b - s = 12 ----> s = b - 12
b - 4 = 3s
b - 4 = 3(b - 12)
b - 4 = 3b - 36
36 - 4 = 3b - b
32 = 2b
b = 16
25,5 minutes=25,5/60 hours=0,425 hours
3,75/0,425 miles/hour =8,8235≈8,82 miles/hour
