Answer:
1) 24 2) $2 per pencil 3) 23 4) 15 5) $5 per eraser
6) 37 7) 16 8) $16
Step-by-step explanation:
hope this helps
Answer:
The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are <em>µ</em> = 0 and <em>σ</em> = 1.
Step-by-step explanation:
A normal-distribution is an accurate symmetric-distribution of experimental data-values.
If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.
If X
N (µ, σ²), then
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z
N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are <em>µ</em> = 0 and <em>σ</em> = 1.
Answer:
the approximate probability that the insurance company will have claims exceeding the premiums collected is 
Step-by-step explanation:
The probability of the density function of the total claim amount for the health insurance policy is given as :

Thus, the expected total claim amount
= 1000
The variance of the total claim amount 
However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100
To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :
P(X > 1100 n )
where n = numbers of premium sold





Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is 
Answer:
Yes
Step-by-step explanation:
You can define an angle of interest at any point of intersection of any real or virtual lines, curves, planes, or surfaces, or combination thereof. We often measure the angle between our present location and two different other locations (horizon, stars, objects of one sort or another). The "rays" involved are virtual (non-existent, imaginary, conceptual) rather than real. We also often measure angles between real physical objects, things other than the idealized set of infinitesimal points that make up a ray.
<u>Given</u>:
The base of a rectangular prism has an area of 25 square meters. The height of the rectangular prism is 4 meters.
We need to determine the volume of the rectangular prism.
<u>Volume of the rectangular prism:</u>
The volume of the rectangular prism can be determined using the formula,

where B is the base area and h is the height of the prism
Substituting B = 25 and h = 4 in the above formula, we get;


Thus, the volume of the rectangular prism is 100 cubic meters.