Answer:
135 square feet.
Step-by-step explanation:
A triangular prism. The rectangular sides are 8 feet by 2.5 feet, 8 feet by 6 feet, and 8 feet by 6.5 feet. The triangular sides have a base of 2.5 feet and a height of 6 feet.
The prism has two triangular faces and three rectangular faces.
So, the surface area of the prism will be
= 15 + 20 + 48 + 52
= 135 square feet. (Answer)
Answer:
a)
And we can find this probability with the following difference:
b)
And we can find this probability with the following difference:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the diameters of a population 1, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
Part b
And we can find this probability with the following difference: