Which is the solution to the inequality?
1 answer:
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Answer:
<h2>A = 20</h2><h2>P = 6√10</h2>Step-by-step explanation:
The formula of a distance between two points:
A(-3, 0) , B(3, 2)
A(-3, 0), D(-2, -3)
AB = CD and AD = BC
The area of a rectangle:
Substitute:
The perimeter of a rectangle:
Substitute:
Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
68 defective out of 400:
This means that
From the shipment you take a random sample of 25.
This means that
Standard deviation for the number of defective parts in the sample:
The standard deviation for the number of defective parts in the sample is 1.88.
9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
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Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
