9514 1404 393
Answer:
A = -68.75p +2906.25
Step-by-step explanation:
We can solve for m and b using the given values of A and p.
1600 = m·19 +b
2150 = m·11 +b
Subtracting the second equation from the first, we have ...
-550 = 8m
m = -550/8 = -68.75
Substituting this into the first equation gives ...
1600 = 19·(-68.75) +b
b = 1600 +1306.25 = 2906.25
The desired linear equation is ...
A = -68.75p +2906.25
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<em>Additional comment</em>
Revenue will be maximized at the price that cuts attendance to half the value when the price is 0, about $21.14.
From second equation y = 8 - x so
7x + 2(8 - x) = -14
5x = -14 - 16 = -30
x = -6
and y = 8 - -6 = 14
Answer x=-6,y=14
Sin(pi/6) = 1/2
tan(pi/4) = 1
Let X be a random variable representing the mean gray scale of each pixel.
P(110 ≤ X ≤ 140) = P(X < 140) - P(X < 110) = P(z < (140 - 125)/15) - P(z < (110 - 125)/15) = P(z < 1) - P(z < -1) = P(z < 1) - [1 - P(z < 1)] = 2P(z < 1) - 1 = 2(0.84134) - 1 = 1.68268 - 1 = 0.68268
Number of pixels that have gray scale of between 110 and 140 = 0.68268 x 1000000 = 682680 = approximately 680,000
Answer:
2.6
Step-by-step explanation:
Let us assume that the unit of measurement is centimetre (cm)
To obtain the value of A, do the following:
From the diagram above, we can say that the scale is 5 cm to 1 unit since there are 5 lines before a number.
Next, we shall determine the value of 1 cm.
5 cm = 1 unit
Therefore,
1 cm = 1/5 = 0.2 unit
This means that 1 small line is equivalent to 0.2 unit.
Now we shall determine A as follow:
A is exactly 3 lines (3 cm) after number 2.
1 cm = 0.2 unit
3 cm = 3 x 0.2 = 0.6 unit
Now, add 0.6 to 2 to obtain the value of A.
A = 2 + 0.6
A = 2.6
Therefore, A correspond to 2.6
