Solve for the value of x.
1 answer:
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Answer: 0.9104
Step-by-step explanation:
Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.
Mean :
Standard deviation :
Sample size : n=10
Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.
So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.
We assume that the length of the bolts are normally distributed.
Let X be the random variable that represents the length of randomly picked bolt .
For Z score :
For x = 11.97
For x = 12.04
By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-
Hence, the probability that the shipment is found satisfactory=0.9104
We put the information above in a table as shown below
The number of bread available is 120, so the first constraint is
The number of cheese available is 160 slices, so the second constraint is
The next constraint is the profit
The number of bread available is 120, so the first constraint is
The number of cheese available is 160 slices, so the second constraint is
The next constraint is the profit