<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
To solve this, you just multiply 4 by 128 to get 512. Then you divide 512 by 6 to get a number of cups to be about 85.
x/240 = 82/100
240 : 100 = 2.4
so 240 is divided with 2,4 giving 100, this will work with 82 too. So, 82 × 2.4 = 196,8
Answer : x = 196,8
prove :
196,8/240 = 82/100 = 41/50
see the picture
Answer:
5. 
Step-by-step explanation:
==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Initial: 10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
--
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
--
Let's try our equation.
*Edit: I just seen that the question is related to the picture question
X = 13
( x + 4) / 51 = (2x - 7) / 57
585 = 45x
585/45 = 45x/45
x = 13
