After 3 hours, the faster car will be 75 miles ahead of the slower car.
Step-by-step explanation:
Given,
Speed of first car = 56 miles per hour
Speed of second car = 31 miles per hour
Let,
x be the number of hours.
Distance covered by first car = Speed * time = 56x
Distance covered by second car = 31x
According to given statement;
Difference between distance covered by both cars = 75 miles
Distance of faster car - Distance of slower car = 75 miles
Dividing both sides by 25
After 3 hours, the faster car will be 75 miles ahead of the slower car.
Keywords: subtraction, division
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There are 4 king and 4 eight cards inside 52 one deck of cards. The case asks for a king card and then an eight card.
To draw the king card, you have 4/52 probability.
To draw the eight card, you have 4/51 probability ( since the king card not replaced).
The total probability would be: 4*4/ 52*51= 4/663
Answer:
2
Step-by-step explanation:
1. 20/10
2. divide numerator and denominator by 10
2. 2/1 = 2
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have 
. So
Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have 
.
Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have 
.
Due to the higher Z-score, Demetria should be offered the job.
