The values of x and y are 15 and 7 respectively
The angles formed from the intersection of two lines at X are equal and vertically opposite angles.
From the figure shown, we can conclude that:
2(5x-5) = 6x + 50 (vertically opposite angle)
Expand
10x - 10 = 6x + 50
10x - 6x = 50 + 10
4x = 60
x = 60/4
x =15
Similarly;
5y + 5 = 7y - 9
Collect the like terms;
5y - 7y = -9 - 5
-2y = -14
y = 14/2
y = 7
Hence the values of x and y are 15 and 7 respectively
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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%
Answer:
monthly payment is $377
C is the correct option.
Step-by-step explanation:
The formula for the monthly payment is given by
Given that,
P = $20,000
n = 5 years = 60 months
r = 0.05
Substituting these values in the formula
On simplifying, we get
Therefore, the monthly payment is $377
C is the correct option.
Answer:
From the CENTER, it would be radius of the circle
Step-by-step explanation:
Stretching across the entire circle is diameter, while from the center is radius.
Answer:
she was left with 28$ I'm in high school i think I'm right
Step-by-step explanation:
