The answers are A, B, and D.
The given information is that Tomas needs 6 potatoes to make 12 potato pancakes. Thus, we can assume it takes 1 potato to make 2 potato pancakes.
An answer choice must have two times more pancakes than potatoes. Only A, B, and D satisfy this. The others can be confusing if the multiplication is not executed properly.
3
The equation you use to find the average rate of change, or slope, is
Answer:
obtain from (a number) another which contains the first number a specified number of times.
Answer : The rate of depreciation is, $16000
Step-by-step explanation :
Formula used to calculate the rate of depreciation is:
Given:
Purchase price of asset = $15000
Salvage value = $7000
Estimate life asset = 3 years
Now put all the given values in the above formula, we get:
Deprecation rate = $16000
Therefore, the rate of depreciation is, $16000
Answer:
(a) E(X) = -2p² + 2p + 2; d²/dp² E(X) at p = 1/2 is less than 0
(b) 6p⁴ - 12p³ + 3p² + 3p + 3; d²/dp² E(X) at p = 1/2 is less than 0
Step-by-step explanation:
(a) when i = 2, the expected number of played games will be:
E(X) = 2[p² + (1-p)²] + 3[2p² (1-p) + 2p(1-p)²] = 2[p²+1-2p+p²] + 3[2p²-2p³+2p(1-2p+p²)] = 2[2p²-2p+1] + 3[2p² - 2p³+2p-4p²+2p³] = 4p²-4p+2-6p²+6p = -2p²+2p+2.
If p = 1/2, then:
d²/dp² E(X) = d/dp (-4p + 2) = -4 which is less than 0. Therefore, the E(X) is maximized.
(b) when i = 3;
E(X) = 3[p³ + (1-p)³] + 4[3p³(1-p) + 3p(1-p)³] + 5[6p³(1-p)² + 6p²(1-p)³]
Simplification and rearrangement lead to:
E(X) = 6p⁴-12p³+3p²+3p+3
if p = 1/2, then:
d²/dp² E(X) at p = 1/2 = d/dp (24p³-36p²+6p+3) = 72p²-72p+6 = 72(1/2)² - 72(1/2) +6 = 18 - 36 +8 = -10
Therefore, E(X) is maximized.
