Zach is having a birthday party at an amusement park. Tickets cost $28 each, but Zach's mom has a coupon for half-off. Both of Z
2 answers:
Answer:
$140
Step-by-step explanation:
Given: Ticket cost $28 each. Zach's mom has a coupon for half-off. Both of Zach's parents are going plus 8 children including Zach.
To find: The total ticket cost for the group.
Solution:
We have,
Number of children going is 8, and two parents. So, total number people going at the amusement park is
Cost of each ticket is $28
So, total cost
It is given that Zach's mom has a coupon for half-off.
After applying the coupon, the total cost is
Hence, after applying the coupons the total ticket cost for the group is $140.
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Answer:
Due to the higher z-score, he did better on the SAT.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Determine which test the student did better on.
He did better on whichever test he had the higher z-score.
SAT:
Scored 1070, so
SAT scores have a mean of 950 and a standard deviation of 155. This means that .
ACT:
Scored 25, so
ACT scores have a mean of 22 and a standard deviation of 4. This means that
Due to the higher z-score, he did better on the SAT.