Percentage of discount given to senior citizens for tune-ups at the gas station = 20%
Average number of senior citizens visiting the gas station per month = 50
Average price of tune-up before discount = $49.95
Total amount that would
have been collected before discount = 49.95 * 50
= 2497.50 dollars
Total amount of discount given = (20/100) * 2497.50
= 499.50 dollars
I hope that the procedure is clear enough for you to understand.
Answer:
Step-by-step explanation:
Previous concepts
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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case
Solution to the problem
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
Answer:
The missing reason in the proof is transitive property
Step-by-step explanation:
<u>Statement </u> <u>Reason </u>
1. x ∥ y w is a transversal 1. given
2. ∠2 ≅ ∠3 2. def. of vert. ∠s
3. ∠2 ≅ ∠6 3. def. of corr. ∠s
4. ∠3 ≅ ∠6 4. ??????????
From the statements 2 and 3
The previous proved statement to make use of the transitive property reason or proof
∴ 4. ∠3 ≅ ∠6 4. transitive property
Note: the transitive property states that: If a = b and b = c, then a = c.
As per your defention, horses are the only thing considered "not small". To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.
So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals
7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.
So,

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.
So by doing the calculation we get
85.18%