Find the area of the total circle and when you find that area, multiply it by 145/360 for that is how much of the circle that area is.
Area of circle,
r^2 and 13.69 times 3.14 is 42.9866. Then multiply by 145/360 to get about 17.3 inches squared.
Answer:
Step-by-step explanation:
information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value for the test
Hypothesis to test
We want to test if the true mean is less than 12, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
We can replace in formula (1) the info given like this:
Answer:
Im pretty sure A
Step-by-step explanation:
multiply both sides by 3/4 (reciprocal)
3/4X=pie(r)cubed
divide by pi on both sides
3/4X
-------- = r(cubed)
pi
cube root both sides
Answer:
The first shape is triangle; area of a triangle = 1/2*b*h
= 1/2*7*3
= 1/2*21
= 21/2
= 10.5
The second shape is rectangle; area of rectangle = l*b
= 7*3
= 21
Total area:
10.5+21
= 31.5
Answer:
The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 40.5 - 1.2 = 39.3 hours
The upper end of the interval is the sample mean added to M. So it is 40.5 + 1.2 = 41.7 hours
The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.