5 cent = 0.05x
<span><span>2 cent </span>= 0.02(x+50)</span>
4 cent = 0.04(2x-10)
0.05x + 0.02(x+50) + 0.04(2x-10)
0.05x + 0.02x +1 + 0.08x -0.4 = 4.35
0.15x +0.6 = 4.35
0.15x = 3.75
X = 3.75 / 0.15 = 25
<span> 25 5 cent stamps (
25*0.05 = 1.25)</span>
25+50 = 75 2 cent stamps ( 75*0.02 = 1.50)
2*25 =50-10 = 40 4 cent stamps ( 40*0.04 =1.60)
1.25 + 1.50 +1.60 = 4.35
5 cent = 25
2 cent = 75
4 cent = 40
A binomial experiment is an experiment which satisfies these four conditions. A fixed number of trials. Each trial is independent of the others. There are only two outcomes. The probability of each outcome remains constant from trial to trial.
Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet
Answer:
x=9
Step-by-step explanation:
90(the angle)-30=60
60-15=45
45/5=9
<u>(5(9)+15)+30=90</u>
Answer:
377
Step-by-step explanation:
5 / 32 = 59 / x
x = 377.6