Answer:
a.) The mean of the six layered plywood is 30 mm
The standard deviation is 0.49 mm
b.) That the thickness is less than 28 mm has a probability of 0.000022.
Step-by-step explanation:
There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.
The thickness of the layers of the plywood have a mean, 
= 5 mm
and a standard deviation, 
= 0.2 mm.
a.) Therefore the mean of the six layered plywood is = 6
= 6 × 5 mmm
= 30 mm
The standard deviation of the six layered plywood = 
= 
= 0.49 mm
b.) We are given to find that the probability of the plywood is less than 28 mm thick.
P( thickness < 28 mm)
P( Z < 
) = P(Z < 
) ⇒ P( Z < -4.082) = 0.000022
Answer:
and not 
Step-by-step explanation:
Jim's work evaluating 
is shown:
If you look at the Second step, the exponent is taken over only the numerator. It should have been taken over both the numerator and denominator as shown below.
The correct workings therefore is:
Answer:
B
Step-by-step explanation:
The average of paid time off is the sum of the paid time off (T) of each employee divided by the number of employees(n):
av = (∑T)/n
Thus, av is directly proportional to the sum of T and indirectly proportional to n. It means that if T raises, the average raises too. So, the manager must fire the employees who have the least number of days off, so T will increase.
Answer: 17.3% of 45.94 km is 7.95 km
Answer:
P(x) = (0.049x - 0.0000015x²)
Step-by-step explanation:
price per sticker is 0.14 − 0.000002x dollars
total cost of producing the order is 0.091x − 0.0000005x² dollars.
P(x) = profit = Revenue - Cost
Let the number of units of stickers made be x
Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)
= (0.14x - 0.000002x²) dollars.
Cost of producing x units in the order = (0.091x − 0.0000005x²)
P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²
= (0.049x - 0.0000015x²)
P(x) = (0.049x - 0.0000015x²)
Hope this Helps!!!
