In order to subtract one fraction from another, we need to make the denominator the same in both fractions. The lowest common denominator is 8, because 4 is a factor of 8.
In order to make the denominators the same, multiply both the numerator and denominator of 13/4 by two. This keeps the value of the fraction the same, but will equate the denominators.
At this point, we can simply subtract 5/8 from 26/8.
21/8 cannot be simplified, so it is the answer.
Probability =
(number of ways it can come out the way you want)
divided by
(total number of ways it can come out).
Total number of ways to draw a marble = 30 (marbles in the bag).
Number of ways it can succeed = 15 (number of red or green ones)
Probability = 15/30 = 1/2 = 50% .
Answer:
See explanation
Step-by-step explanation:
Let a,b, and c be real numbers.
The distributive property says that:
Assuming we want to simplify:
We apply the distributive property to get:
We can now use rules of exponents to simplify further:
Answer: 4
Step-by-step explanation:
However, as the base must be positive, n=4.
Answer: 0.0918, it is not unusual.
Step-by-step explanation:
Given : The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.54 minutes and a standard deviation of 1.91.
i.e. minutes and minutes
Let x denotes the length of time a person takes to decide which shoes to purchase.
Formula :
Then, the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase will be :-
Thus , the required probability = 0.0918
Since, P-value (0.0918) >0.05 , it means this outcome is not unusual.
[Note : When a outcome is unusual then the probability of its happening is less than or equal to 0.05. ]