Profit:p=r-c;solve for c

Answer:

The anticipated number of tests required to identify 680 acceptable circuits is 907.

Step-by-step explanation:

For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.

Binomial probability distribution

This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.

To find the expected number of trials to achieve r successes with a probability p, the formula is given by:

Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.

Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.

The expected number of tests necessary to find 680 acceptable circuits is 907.

A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n

She ought to select the monthly plan for unlimited movies instead of paying $2.99 per film. This choice is advisable because if she continues paying this amount for each individual movie, her total monthly costs will rise significantly. For example, if she has 8 days off in a month (on Saturdays and Sundays) and pays for each film on those days, the total expense would exceed that of the unlimited monthly plan priced at $7.99. And that doesn't include other potential viewing days or any public holidays that could allow her to watch more movies.

3 feet equals 1 yard. This simplifies to 12/3 = 4 and 15/3 = 5. Therefore, by multiplying these together, you find that each room requires 20 square yards, leading to a total of 40 square yards for both rooms.