The point A ( − 5 , 4 ) is reflected over the point ( − 1 , 5 ) and it's image is point B. What are the coordinates of point B?
2 answers:
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This is a definition and an example of it
Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
Answer:
0.6173 = 61.73% probability that the product operates.
Step-by-step explanation:
For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
An electronic product contains 48 integrated circuits.
This means that
The probability that any integrated circuit is defective is 0.01.
This means that
The product operates only if there are no defective integrated circuits. What is the probability that the product operates?
This is P(X = 0). So
0.6173 = 61.73% probability that the product operates.