You did not attach any
picture to solve this problem. We cannot calculate for the value of A’ and D’
without the correct graph. However, I think I found the correct graph (see
attached), please attach it next time.
So we are given that the
figure is dilated by a factor of, meaning that all of its end points are
multiplied by 2. By this rule, all we have to do is to simply multiply the
initial coordinates of A and D by 2 to get A’ and D’, that is:
A’ = (-1 * 2, -1 * 2) = (-2,
-2)
<span>D’ = (2 * 2, -1 * 2) = (4,
-2)</span>
The rule of the <span>geometric sequence is

a ⇒⇒⇒ </span><span>the first term
r ⇒⇒⇒ </span><span>common ratio
Given: the fourth term </span>(a4) <span>= 121.5 and the common ratio = 3 and n = 4
∴</span><span>

∴ a = 121.5/3³ = 121.5/27 = 4.5
So, T</span><span>he formula for this sequence will be</span><span>

</span>
The first step for finding out if the expression provided is equivalent to

is to reduce the fraction with

.

Now reduce the fraction with y.

Finally,, reduce the fraction with 8 to get your final answer.

Let me know if you have any further questions.
:)
Answer: c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.
Step-by-step explanation:
Interpretation for 95% confidence interval :
A person can be 95% confident that the true population parameter lies in it.
By considering the given information , we have
population parameter→ p (Proportion of people who think climate change )
95 percent confidence interval = (0.146, 0.214)
Interpretation : We can be 95% confident that the true population proportion of people who think climate change lies between 0.146 and 0.214.
So , the correct answer is
c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.
If they both do 7 hours, then the price will total out at $55.75 for both. Not sure if you have a formula from your book, but common sense/guestimating gets you that correct answer.