Answer:
8% probability that Anthony will soon be playing on the Acme golf team
Step-by-step explanation:
We have these following probabilities:
10% probability that he is hired by the corporation.
If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.
Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:
80% of 10%
So
P = 0.8*0.1 = 0.08
8% probability that Anthony will soon be playing on the Acme golf team
Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
+ 
= 
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
+ 
=
1024 + 676 =
1700 =
The square root of 1700 is (rounded to the hundreth's place) = 41.23
Answer:
a.) C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH b.) $170
Step-by-step explanation:
(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:
Marginal cost (MC) = change in total cost/change in quantity
Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:
Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k
where k is a constant.
The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k
C(q) = -(1/4)*(q^3 - 12q^2 + 48q - 64) + k = -(1/4)*q^3 + 3q^2 - 12q -16 + k
Thus:
C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH
(b) C(14) = -(1/4)*14^3 + 3*14^2 - 12*14 + 436 = -686 + 588 - 168 + 436 = $170
<span>A
computer is normally $899 but is discounted to $799.
Question: What percent of the original price does Shawn pay?
=> 799 dollars is the discounted price
=> 899 dollars is the original price
=> 899 – 799 = 100 dollars – the discount price that was deducted to the
original price.
Solution
=> 100 / 899 = 0.11
=> 0.11 * 100% = 11%
Thus, the computer has a discount of 11%.</span>
Answer:
Step-by-step explanation:
we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal and the corresponding angles are also equal
In this problem
we have
Find the value of TS
substitute
see the attached figure to better understand the problem
