Answer:
40 square inches.
Step-by-step explanation:
It is given that the new club sticker is in the shape of a triangle.
Height of triangle = 8 inches
Base of triangle = 10 inches
We need to find the area of sticker.
Area of triangle
Substitute base = 10 and height = 8 in the above formula.
Area of triangle
Area of triangle
Area of triangle
Therefore, the area of the club sticker is 40 square inches.
Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is
Thus, the probability that at least one of the systems detect the theft is
That means a 99.93%