The first one is cost of jam $4, cost of soup $7
Answer:
So then the probability that the batch would be accepeted is:

Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:

The answer is A) x=0.3
Step-by-step explanation:
Move all terms containing xx to the left side of the equation.
14x−15.4=−11.2
Move all terms not containing x to the right side of the equation.
14x=4.214x=4.2
Divide each term by 14 and simplify
x=0.3
Step-by-step explanation:
2x+3=x+x+3
add the X's on the right side together.
2x+3=2x+3
subtract 2x from both sides
3=3
subtract 3 from both sides
0=0
the statement is true for any value of x