Answer:
water is Arthur's favorite drink
Step-by-step explanation:
The three drinks are lemonade, milk, and water.
If Paige's drink is a dairy product, milk would be the only answer there.
If Frank's drink comes from a fruit, lemonade would be the answer. Lemonade is made from lemons and sugar.
Water is the only choice left and Arthur is the only person who doesn't have a drink.
So, Arthur's favorite drink would be water.
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.
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The boxes are kept is 2275 cm and the boxes 10800 mm
Answer:
8:7 and 64:49
Step-by-step explanation:
If the widths of two similar rectangles are 16 cm and 14 cm, the ratio of the areas are 8:7 and 64:49.