Step-by-step explanation:
When x = 0,
3x + 7
= 3 ( 0 ) + 7
= 0 + 7
= 7
When x = 4,
3x + 7
= 3 ( 4 ) + 7
= 12 + 7
= 19
When x = 8,
3x + 7
= 3 ( 8 ) + 7
= 24 + 7
= 31
When x = 14,
3x + 14
= 3 ( 14 ) + 14
= 14 ( 3 + 1 )
= 14 ( 4 )
= 56
Answer:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

Step-by-step explanation:
For this case we have the following function for the profit:

And we can rewrite this expression like this:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Upper P (Upper B vertical line Upper A)
means

It means that probability of getting event B given that Event A is occurred.
D. The probability of event B occurring, given that event A has already occurred. is also expressed as 
Hence, Option 'D' is correct.
Answer: 15%
Step-by-step explanation:
From the question, we are informed that a survey results of a middle school shows that 3/20 of the students played football.
The percentage of the students that play football in this schools would be calculated as multiplying the fraction by 100. This will be:
= 3/20 × 100
= 3 × 5
= 15%