Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
1:40.
1:40 is equal to 1/40, while 1:60 is equal to 1/60.
1/40 is the bigger fraction, so 1:40 is the correct answer.
Answer:
2x^2+9x-5
Step-by-step explanation:
(X+5)(x-1/2)
x^2-1/2x+5x-5/2
x^2+9/2x-5/2
multiply through by 2
2x^2+9x-5
Answer:24 pi square units
Step-by-step explanation:
Given:
The product of
and
greater than 5.
To find:
By how much the product of
and
greater than 5.
Solution:
First we need to find the product of
and
.




Now subtract 5 from the product.

Therefore, the product of
and
is 9.85 greater than 5.