Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let 
be the average life expectancy of its batteries.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since 
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For 
, we have
Critical one-tailed test value for 0.10 significance level :
Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]
It equals 8 1/8 because 5 + 3 = 8 plus the 1/8
Answer:
y = 3 and y = x + 3
Step-by-step explanation:
The equation y = 3 whose graph is a line parallel to x-axis can be a part of the system.
Consider the equation y = x + 3.
Substitute (0, 3).
3 = 0 + 3
So, (0, 3) lies on y = x + 3 and this can also be a part of the system.
Increasing function is any function whose value increases with respect to an increase in the variables.
Decreasing function is any function whose values are decreases with respect to an increase in the variables.
The relationship of arcs is:
S '/ S = ((1/9) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((1/9)) / (2)
S '/ S = 1/18
Therefore, the area of the shaded region is:
A '= (S' / S) * A
Where A: area of the complete circle:
Clearing we have:
A = (A ') / (S' / S)
Substituting:
A = ((1/2) pi) / (1/18)
A = ((18/2) pi)
A = (9pi)
Answer:
The area of the circle is:
A = (9pi)
