A track has the shapes shown. what is the perimeter ?
1 answer:
Break this problem down first. You have two lines each with length of 5. You also have two halves of a circle, combine them to get a full circle with a radius of 2. The formula to find the perimeter of a circle is
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B
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Answer:
A)
μ = 5
σ = 2.2
B)
P(0) = 0.0066
C)
P(x ≥ 4) = 0.74
Step-by-step explanation:
A) The expected value is going to be the same as the mean μ.
We can use the binomial probability distribution because there are a fixed number of trials (500), each trial is independent and there are only two possible outcomes (CPU failure or not) and the probability of failure has the fixed value 0.01.
For binomial distributions:
μ = np, where p is the probability (in this case of CPU failure) and n is the number of trials (500)
μ = (500)(0.01) = 5
σ = , where q = 1 - p
σ = = 2.2
B) We can use the binomial probability formula
× pˣ × qⁿ⁻ˣ
× 0.01⁰ × 0.99⁵⁰⁰
C) In this case wee need to use a binomial distribution calculator. Setting n as 500, π = 0.01 and finding the probability above 3.
Answer:
-The equation for the problem:
Step-by-step explanation:
-First, you need determine the slope of a line:
(where
is the first coordinate and
is the second coordinate).
-Use both points and
for the formula:
-After you have found the slope, use the point-slope formula and use the slope and the first coordinate, which is
, to solve the equation and put it in slope-intercept form:
-Solve:
So, therefore the equation is .