7 + 14
7(1 + 2)
44 - 11
11( 4 - 1)
18 - 12
6(3 - 2)
70 + 95
5(14 + 19)
60 - 36
12(5 - 3)
100 - 80
20(5 - 4)
Answer:
On average the carnival gain on each play
= 0.04 dollars
Step-by-step explanation:
Given that a pond contains 100 fish: 78 purple, 21 blue, and 1 silver.
Fish Purple Blue Silver total
Frequency 78 21 1 100
Prob 0.78 0.21 0.01 1
Revenue 0.4 0.8 13
game fee 0.65 0.65 0.65
Net revenue -0.25 0.15 12.35
Net Rev*Prob -0.195 0.0315 0.1235 -0.04
Thus we get per player expected net revenue is -0.04
This would be gain for Carnival
Hence On average the carnival gain on each play
= 0.04 dollars
Answer:
y = -0.6x^2 + 5x + 6
Step-by-step explanation:
First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.
y = mx + b
15.6 = 3m + 6
9.6 = 3m
m = 3.2
y = 3.2x + 6
y = a(x - 0)(x - 3) + 3.2x + 6
y = a(x)(x - 3) + 3.2x + 6
Finally, substitute 10 for x and -4 for y in the equation above to find a.
-4 = a(10)(10 - 3) + 3.2*10 + 6
-4 = a(10)(7) + 32 + 6
-4 = 70a + 38
-42 = 70a
a = -0.6
Simplify to write in standard form.
y = -0.6(x)(x - 3) + 3.2x + 6
y = -0.6x^2 + 5x + 6
Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
V = lwh
15(10.5)(4.5) = 708.75
