The way your problem is set it should be simplified to this....4x + 55
Answer: the expression for the combined total number of miles she biked in the two days is
117 - 5x miles
Step-by-step explanation:
Let x be the number of hours she biked yesterday.
In the two days, she biked for a combined total time of 9 hours. This means that the number of hours that she biked today is (9 - x) hours.
Distance = speed × time
Yesterday, Carmen went on a bike ride. Her average speed was 8 miles per hour. This means that the distance that she covered yesterday is 8x miles
Today, she went on another ride, this time averaging 13 miles per hour. This means that the distance that she covered today is 13(9 -x) miles.
An expression for the combined total number of miles she biked in the two days is
8x + 13(9 - x)
= 8x + 117 - 13x
= 117 - 5x
Answer:
The minimum score a person must have to qualify for the society is 162.05
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:
Test scores are normally distributed with a mean of 140 and a standard deviation of 15. This means that
.
What is the minimum score a person must have to qualify for the society?
Since the person must score in the upper 7% of the population, this is the X when Z has a pvalue of 0.93.
This is
.
So




The minimum score a person must have to qualify for the society is 162.05