Answer:

Step-by-step explanation:
we know that

In this problem we have

substitute the given value in the formula and solve for F




Answer:
Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644
Step-by-step explanation:
The cost equation is given as:

This is a quadratic equation in general form, which is:

Matching, we can say:
a = 0.04
b = -5
c = 800
The minimum occurs at 
and the minimum value would be to place that "x" value into the equation.
First, we find the minimum using values of a and b:

Plugging this into original, we get:

Rounding off to nearest whole number, we can say:
Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644
Answer:
By the Empirical Rule, 68% of IQ scores are between 87 and 121
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 104
Standard deviation = 17
Using the empirical rule, what percentage of IQ scores are between 87 and 121
87 = 104 - 1*17
So 87 is one standard deviation below the mean
121 = 104 + 1*17
So 121 is one standard deviation above the mean
By the Empirical Rule, 68% of IQ scores are between 87 and 121
41 guests / 8 plates = 5.125 packs
Since you cant buy .125 of a pack, Mary jane has to purchase 6 packs.
Answer:
The sixth number in series is 13.
Step-by-step explanation:
Given series : 3, -6, 12, 4, 20, ?
The pattern followed by the series is:
The first number = 3
Second number = 3 - 9 = - 6
Third number = - 6 + (9 ×2) = -6 + 18 = 12
Fourth number = 12 - 8 = 4
Fifth number = 4 + (8 ×2) = 20
Sixth number = 20 - 7 = 13
Seventh number = 13 + (7 ×2) = 13 + 14 = 27 and so on.
So as per the above pattern, the sixth number in the series is 13.