Answer:
106
Step-by-step explanation:
Given that:
Mean (m) = 13.5 pounds
Error margin = 0.025
α = 99%
Variation interval = range = 13.3 to 13.7
Standard deviation (σ) estimate from range :
Range / 4
(13.7 - 13.3) /4
= 0.4 / 4
= 0.1
Zcritical at 99% = 2.576
Using the formula :
Sample size (n) = [ (Zcritical * σ) / M. E]^2
n = [(2.576 * 0.1) / 0.025]^2
n = (0.2576 / 0.025)
n = 10.304^2
n = 106.172
n = 107 samples
Answer:
f is not defined at x = 3 ⇒ answer (b)
Step-by-step explanation:
∵ f(x) = x² - x - 6/x² - 9 is a rational function
∴ It will be undefined at the values of x of the denominator
∵ The denominator is x² - 9
∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9
∴ x = ± 3
∴ f(x) can not be defined at x = 3
∴ The f(x) can not be continuous at x = 3
∴ The answer is (b)
100%. 20/100 is equivalent to 20%, and because there is a 20% chance of a chip being a defect, it is 100%
Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So
Probability a unit is defective and from manufacturer A:
2% of 43%. So
What is the probability that it came from manufacturer A?
0.5015 = 50.15% probability that it came from manufacturer A.
Answer:
Hi! The correct answer is x=1/4+y/2!
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
