That particular binomial expression can be simplified to . . . . . <em>1.03 t</em>
Answer:
a) 
b) 
c) Mary's score was 241.25.
Step-by-step explanation:
Problems of normally distributed samples can be solved using 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.
In this problem, we have that:

a) Find the z-score of John who scored 190



b) Find the z-score of Bill who scored 270



c) If Mary had a score of 1.25, what was Mary’s score?




Mary's score was 241.25.
**4/5** is equal to .8, so 4/5 is the answer. to check, multiply .8 x 5 = 4
Answer:
<em>75</em>
Step-by-step explanation:
Use a proportion.
4 miles is to 30 minutes as 10 miles is x minutes.
4/30 = 10/x
2/15 = 10/x
2x = 15 * 10
2x = 150
x = 75
Answer: 75