Answer:
An estimate of the probability that Jorge will make a profit is (5; 0.496)
Step-by-step explanation:
The total cost = 170x1 = $170
The payoff is $35 per $1 bet
The number of wins needed to make a profit = 170/35 = 4.86 \approx 5
Probability of winning, P(win), p = 1/38
n = 170
P(Jorge will make a profit) = P(at least 5 wins)
mean = np = 4.47
standard deviation = \sqrt{npq} = 2.09
P(X \geq 5) = 1 - P(X < 5)
P(X < A) = 1 - P(Z < (A - mean)/standard deviation)
After the application of continuity correction,
P(X \geq 5) = 1 - P(Z < (4.5 - 4.47)/2.09)
= 1 - P(Z < 0.01)
= 1 - 0.5040
P(X \geq 5 = 0.496
An estimate of the probability that Jorge will make a profit is (5; 0.496)
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
No,isn’t solution
-7>-2*5+3
-7>-7 wrong
In standard form, -3(1-8x-2y) is:
DISTRIBUTIVE PROPERTY: 3+24x+6y
ANSWER: 24x+6y-3
