For this, you multiply the 12 two point shots she made to see how many points she earned
12 x 2 = 24
now you will subtract the 24 from 27 to find out how many points are left
27 - 24 = 3
this means she made 12 two point shots (worth 24 points) and 1 three point shot (worth 3 points) to total up as her 27 points:)
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
<span>(-3 + 3i) + (-6 + 6i) =
= -3 + 3i + (-6) + 6i
= 3i + 6i + (-3) + (-6)
= 9i + (-9)
= 9i - 9
</span>
You have the correct steps and final answer. The area of the room is 196 square feet, so each side is sqrt(196) = 14. The perimeter is 14*4 = 56 feet. You'll need 6 boards (each 10 ft long) to get 60 ft total. You'll have 60-56 = 4 ft of board left over. This is assuming that there isn't any other type of waste or mistakes made in cutting.
Nice work on getting the correct steps and final answer.
Answer:
The probability that both the students selected are of the same gender is 0.25.
Step-by-step explanation:
Let <em>X</em> = number of students selected of the same gender.
The probability of selecting a student of a particular gender is,
P (X) = <em>p</em> = 0.50.
The number of students selected is, <em>n</em> = 2.
The random variable follows a Binomial distribution.
The probability of a binomial distribution is computed using the formula:
Compute the probability that both the students selected are of the same gender as follows:
P (Both boys) = P (Both girls) = P (X = 2)
Thus, the probability that both the students selected are of the same gender is 0.25.
