<h2>
Answer with explanation:</h2>
According to the Binomial probability distribution ,
Let x be the binomial variable .
Then the probability of getting success in x trials , is given by :
, where n is the total number of trials or the sample size and p is the probability of getting success in each trial.
As per given , we have
n = 15
Let x be the number of defective components.
Probability of getting defective components = P = 0.03
The whole batch can be accepted if there are at most two defective components. .
The probability that the whole lot is accepted :
∴The probability that the whole lot is accepted = 0.99063
For sample size n= 2500
Expected value : 
The expected value = 75
Standard deviation : 
The standard deviation = 8.53
Change the inches into feet. There are 12 inches in a foot so divide 144 by 12. That gives you 12, so then multiply 12 by 14. You are left with 168 feet.
The answer is 8...............
Answer:
x- intercept = - 8, y- intercept = 6
Step-by-step explanation:
To find the x- intercept let y = 0 and solve for x
- 3x + 4(0) = 24
- 3x = 24 ( divide both sides by - 3 )
x = - 8 ← x- intercept
To find the y- intercept let x = 0 and solve for y
- 3(0) + 4y = 24
4y = 24 ( divide both sides by 4 )
y = 6 ← y- intercept
Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
