We have been given that length of PQ and QR is 25 cm and 8 cm respectively.
We can find possible side length of PR in order to form a triangle using triangle inequality theorem.
Triangle inequality theorem states that the sum of lengths of two sides of a triangle must be greater than length of third side of triangle.
The length of PR should be either less than sum of PQ and QR or greater than difference of PQ and QR.
Let us find the other possible length of PR.
Therefore, the length of PR should be either less than 33 or greater than 17 so that PQ, QR and PR can form a triangle.
Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(1) = 44
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(1)= -5(1)³ - 31(1)² + 62(1) + 18
= -5 - 31 + 62 + 18
= 44
(h x 80)77 = 82(80 x 77)
(80h)77 = 82(6160)
6,160h = 505,120
6,160h/6,160 = 505,120/6160
h = 82
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.
Answer:
3
Step-by-step explanation: