Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:
Now let us solve for x.
Now let us substitute in 7x (amount of money that Egil gets).
Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.
13 is a whole number, integer, natural number and rational number. Rational number because it can be written as a fraction like 13/1. It is a whole number because it doesn't have any decimals. It is an integer because an integer is a positive or negative whole number and it is a natural number because a natural number is any positive number greater than 0.
Answer:
1.4 hours
Step-by-step explanation:
Runner A:
Speed = 8.1 mph
Time, = t
Runner B :
Speed = 6.3 mph
Time, = t
Distance apart = 20.16 miles
Distance = speed * time
Distance of Runner A + Distance of runner B = distance apart
8.1t + 6.3t = 20.16
14.4t = 20.16
t = 20.16 / 14.4
t = 1.4 hours
Number of hours, t = 1.4 hours
30% of 22.40 is 6.72. 6.72 plus 22.40 is 29.12. Therefore the answer is 29.12.
Answer:
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.
This means that
Less than 50:
p-value of Z when X = 50. So
has a p-value of 0.0643
More than 150
1 subtracted by the p-value of Z when X = 150. So
has a p-value of 0.6915
1 - 0.6915 = 0.3085
The probability that his bill will be less than $50 a month or more than $150 for a single month is:
0.0643 + 0.3085 = 0.3728
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.