Answer:
-2/6
Step-by-step explanation:
Answer:
We need to find the value of b to make 8b - 27 be equal to 5, so:
8b - 27 = 5
We solve the equation:
8b = 5 + 27
8b = 32
We divide both sides by 8:
b = 32/8 = 4
So now, we know that b=4, and we can verify:
8*4 - 27 = 5
32 - 27 = 5 TRUE
-np - 80 < 60....add 80 to both sides
-np < 80 + 60
-np < 140...divide both sides by p
-n < 140/p ...now multiply by -1 to make n positive, and change inequality sign
n > -140/p
Answer:
B
Step-by-step explanation:
The function is cubic (the highest power is 3), so it can't be even. It's either odd or neither.
We can either graph the function, or we can test that it's symmetrical about the origin by seeing if f(x) = -f(-x).
f(x) = -2x³ + 3x²
f(-x) = -2(-x)³ + 3(-x)²
f(-x) = 2x³ + 3x²
f(x) ≠ -f(-x), so the function is neither even nor odd.
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
