Asensitive measuring device is calibrated so that errors in the measurements it provides are normally distributed with mean 0 and variance 2.00. find the probability that a given error will be between -3 and 3.

0.9660

Step-by-step explanation:

Given: Mean :

Variance :

⇒ Standard deviation :

The formula to calculate z is given by :-

For x= -3

The P Value =

For x= 3

The P Value =

Hence, the probability that a given error will be between -3 and 3=0.9660

10

step-by-step explanation:

7+3=10

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).