We are asked to solve the formula

for

. Starting off, we can divide both sides by

, so we are left with only the variable

on the right-hand side. Next, we need to multiply the reciprocoal of

, which is

to both sides. This gives us

, which, when simplified, gives us

. Hope this helped and have a phenomenal day!
Answer:
A) (4,1) C) (12,3) D) (20,5)
Step-by-step explanation:
Required
Which has a constant of proportionality of 1/4
To solve this, we make use of:

Where k is the constant of proportionality.
Solve for x

<u>Testing the given options</u>
A) (4,1)


B) (8,12)



C) (12,3)



D) (20,5)



E) (12,6)



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.
16,0
16-0=16
16*0=0
16,0 is the pair with the smallest product