A. 9
B. -11
C.3
D. -23
Answer:
A. 9
Step-by-step explanation:
F(-2) = 9
We are given the polynomial function;
F(x) = -2x3 + x2 + 4x-3
In order to determine F(-2) using the remainder theorem, we plug in -2 in place of x in the equation and simplify;
F(-2) = -2(-2)^3 + (-2)^2 + 4(-2) - 3
F(-2) = 9
Answer:
A
Step-by-step explanation:
Evaluating F(- 2) gives the remainder on dividing the polynomial by (x + 2)
F(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3 = 16 + 4 - 8 - 3 = 9 ← remainder
The expected value of purchasing a raffle ticket is -0.647.
The expected value is derived in probability analysis by the multiplication of each of the potential possibilities by the likelihood that each result will occur and then adding all of those values together.
Using the formula below, we can calculate the expected value as follows:
However, the probability (Pr) of each event can be categorized as follows:
Thus;
Learn more about finding the expected value of a probability here:
Answer: The expected value of purchasing a raffle ticket would be $0.3449.
Step-by-step explanation:
Since we have given that
Number of tickets = 5500
Number of flower arrangements = 20
Number of gift certificates = 20
So, Probability that wining $70 at flower arrangement =
Probability that wining $25 at gift certificates =
So, Expected value of purchasing a raffle ticket would be
Hence, the expected value of purchasing a raffle ticket would be $0.3449.
The required area that the sprinkler will cover is 50 square feet. Option C is correct.
As mentioned in the question, a lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet.
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Area of the sprinkler,
= area of the circle
= πr²
= 3.14 × 4²
= 50.24
≈50
Thus, the required area that the sprinkler will cover is 50 square feet. Option C is correct.
Learn more about the surface area here: brainly.com/question/2835293
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