Answer:
Step-by-step explanation:
The volume of a rectangular prism is calculated multiplying the area of the prism times the height of the prism.
The area of the base of your prism is 4 3/4 ft2, so you are going to multiply it times the height that is 2 1/3 ft.
The result must be: 11.07 ft³
(2^3)^-5 = 2^(3 x -5) = 2^-15 = 1/2^15
Using the Empirical Rule, it is found that the desired probabilities are given as follows.
a) P(x > 158) = 0.16.
b) P(149 < x < 152) = 0.135.
<h3>What does the Empirical Rule state?</h3>
It 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.
Additionally, considering the symmetry of the normal distribution, 50% of the measures are below the mean and 50% are above.
Item a:
158 is one standard deviation above the mean, hence the probability is given by, considering that 32% of the measures are more than 1 standard deviation from the mean:
P(x > 158) = 0.5 x 0.32 = 0.16.
Item b:
Between one and two standard deviations below the mean, hence:
P(149 < x < 152) = 0.5 x (0.95 - 0.68) = 0.5 x 0.27 = 0.135.
More can be learned about the Empirical Rule at brainly.com/question/24537145
Answer:
8000 gallons/household per month
Step-by-step explanation:
Given that the discharge of 4.8 trillion gallons could supply country A households in 6 months, find for a single month.
Divide the discharge (4.8 trillion gallons) by 6
4.8/6 =0.8 trillion gallons supplied to country,s households in 1 month
To find usage per household, divide the supply per month by the number of households
=0.8 × 1000,000,000,000 gallons/100,000,000 households
=0.8×10,000 gallons/household
=8000 gallons/household per month
The bill is issued on the 3rd.
It is due 8 days later, this means that it is due on the 11th.
There is a one day grace period.
Since Frank paid the bill on the 12th, this means that his payment is received after the deadline. However, he will not be charged for any extra fees as he was still in the grace period when he paid.
