Answer:
160π cm²
Step-by-step explanation:
The area of the shaded region is
area of outer circle - area of inner circle
A = πr₁² - πr₂²
r₁ is the radius of the outer circle = 10 + 3 = 13 cm
r₂ is the radius of the inner circle = 3 cm
A = π × 13² - π × 3²
= π(169 - 9) = 160π cm² ≈ 502.65 cm² ( to 2 dec. places )
Well.....2.82 divided by 1 = 2.82
Answer:
<u>Type I error: </u>D. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually true.
<u>Type II error: </u>A. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually false.
Step-by-step explanation:
A type I error happens when a true null hypothesis is rejected.
A type II error happens when a false null hypothesis is failed to be rejected.
In this case, where the alternative hypothesis is that "the percentage of adults who retire at age 65 is greater than 62%", the null hypothesis will state that this percentage is not significantly greater than 62%.
A type I error would happen when the conclusion is that the percentage is greater than 62%, when in fact it is not.
A type II error would happen when there is no enough evidence to claim that the percentage is greater than 62%, even when the percentage is in fact greater than 62% (but we still don't have evidence to prove it).
Answer:
5,435,820,000 is your answer
Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points 
From these points we can find the slope of the line .
From point slope formula 
And assigning
and

This slope is also the speed of the bird which is 
As by plugging the values of any coordinate point we can confirm this.
Lets put
, y-axis is the distance so in
minutes the the distance covered by the bird must be equal to to y-axis value which is
miles.

Now as in
the bird has started from y-intercept value
so we can say that,the original distance of the bird from its nest is
.
So the correct choices are:
and 
The birds speed is
per minute and is
away from its nest.