Answer:
Probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Step-by-step explanation:
We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.
Firstly, Let X = life span of a calculator
The z score probability distribution for is given by;
Z = 
~ N(0,1)
where, 
= population mean = 60 months
= standard deviation = 8 months
Probability that the calculator works properly for 74 months or more is given by = P(X 
74 months)
P(X 74) = P( 
) = P(Z 1.75) = 1 - P(Z < 1.75)
= 1 - 0.95994 = 0.04
Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Desert Shores is below the sea level and the difference is more than 600 feet
Answer:
39.25 cubic feet of paint will be needed by Ellis.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder of radius r and height h is given by:
How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?
This is the combined volume of these 10 fenceposts.
They are each 5 feet tall and have a diameter of 1 foot.
Radius is half the diameter, so 
. Also 
10 fenceposts:
Each has the same volume, so:
39.25 cubic feet of paint will be needed by Ellis.
The salesman earns $850 per automobile he sells.
Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.
The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.
The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.
Divide both sides by $850, as that represents his sales from one commission:
x ≥ 8
The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.
Answer: E. None of the above
Step-by-step explanation:
The equation to solve the problem should look like...2x = $2.91 / 3
