Answer:
Step-by-step explanation:
8x+47=8(x+5)
8x+47=8x+40
47=40
which is impossible so it has no solution.
Answer:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:

The confidence interval for the mean is given by the following formula:
The margin of error for the proportion interval is given by this formula:
(a)
And if we replace the values obtained we got this:
Answer:
15205.3
Step-by-step explanation: H=30 R²=484 3.14=π →= rounded up to tenth V = Volume
<em><u>formula (no numbers): H x R² x π ÷</u></em><u> </u>
<u> (or 3) </u><em><u>= V</u></em>
<u><em>how i got the answer : 30 x 484 x 3.14 ÷ 3 = 15205.31 → 15205.3</em></u>
Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
Answer:
60
Step-by-Step Explanation:
(200-125):125*100 =
(200:125-1)*100 =
160-100 = 60
Now we have: What is the percentage increase/decrease from 125 to 200 = 60