1. You have that the Standard form for the equation of a circle when its center is at the origin, is:
x²+y²=r²
2. You must calculate the radius. Then:
r=√(x²+y²)
x=24
y=32
3. When you substitute the values of "x" and "y" into the equation r=√(x²+y²), you obtain:
r=√(x²+y²)
r=√(24²+32²)
r=√(576+1024)
r=√1600
r=40 feet
4. Therefore, the diameter (D) of the circle, is:
D=2r
D=2(40 feet)
D=80 feet
The probability that if 5 tires are inspected, exactly 2 have a defect is 0.021
<h3>How to calculate the probability</h3>
The given parameters are:
--- the proportion that contains defect
--- the sample size
-- the selected sample
The probability is then calculated as:
So, we have:
Hence, the probability that if 5 tires are inspected, exactly 2 have a defect is 0.021
Read more about probabilities at:
brainly.com/question/15246027
I think an equation for this could be 5x+6=y
This can be explained as x representing how much the five friends got and y equaling the total. Hope this helps!
The formula is
A=p (1+r)^t
A future value 75000
p present value?
R interest rate 0.08
T time 17 years
Solve the formula for p
P=A ÷ (1+r)^t
P=75,000÷(1+0.08)^(17)
P=20,270.17
Answer: 0.992
Step-by-step explanation:
Given : The three systems detects when a trespass occurs with a probability of 0.98 independently of the others.
Then, the probability that system failed to detect a trespass = 1- 0.98 = 0.02
Since each system works independently ,
Then, the probability that none of 3 systems will detect = 0.2 x 0.2 x 0.2 = 0.008
Then the probability that when a trespass occurs, at least one of the systems will detect it
= 1- P( none of three systems detect)
= 1- 0.008=0.992
Hence, the probability that when a trespass occurs, at least one of the systems will detect it = 0.992
