So triangles bcd and aec are similar. so this makes lines ac and bc similar and lines db and ae similar.
to solve this problem, we just need to do some algebra

now we substitute those values in

which results in

then multiply both sides by 12

soon you should get x=2 with the length of ae being 16
Using decimal multipliers, it is found that the value of x is of 16.67.
<h3>What is a decimal multiplier?</h3>
Increases of a% or decreases of a% re represented by decimal values, as follows:
- The equivalent multiplier for an increase of a% is given by:

- The equivalent multiplier for an decrease of a% is given by:

In this problem:
- The price at the beginning of January was of a.
- Increase of 20% in January, hence
.
- Decrease of 20% in February, hence
.
- Increase of 25% in March, hence
.
- Decrease of x% in April, hence

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:






The value of x is of 16.67.
To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336
Answer:
FALSE
Step-by-step explanation:
The central limit theorem tell us that for a random sample of size n, the average of the sample will be approximately normally distributed with mean
and variance
, where
and
are the mean a variance respectively of the sampling distribution. This always that the mean and the variance are both finite and the sample size n is greater than 30. We could use the central limit theorem, but in this case does not help us because we are considering 25 randomly selected data values, besides, we do not know the distribution of the original population.
Answer:
Step-by-step explanation: