Answer:
1/4x4=1
1/20x4=4/20 or 1/5 which means he can run 5 mile an hour.
Step-by-step explanation:
sorry if Mali.
Answer:
From the given figure:
Labelled the triangle as A, B and C.
Coordinates of triangle are:
A(-3, -2) , B(-7, -3) and C(-4, -5)
The rule of dilation with scale factor k = 3 and centered at (-7, -6) is:
or
Now, find the dilated image of the given figure:
You can see the graph of the dilated figure as shown below.
2^5 + (4 + 3 + 1) = 40
((5 x 3) + (4 + 1)) x 2 = 40
Answer:
B. Events H and C are dependent and P(H|C) < P(C|H)
Step-by-step explanation:
The ratios of groups with children to hiking groups on the trail are different for the two trails.
P(H|C) = 15/45 = 1/3
P(C|H) = 15/40 = 3/8
1/3 < 3/8 so the comparison of choice B is appropriate.
Answer:
(a) C(x) = 5550 +8.25x
(b) R(x) = 36x
(c) P(x) = 27.75x -5550; 200 hours to break even
Step-by-step explanation:
(a) Howen's costs include fixed costs and a cost per hour. Then her total cost will be the sum of the fixed cost (5550) and the product of hours (x) and the cost per hour (8.25):
C(x) = 5550 +8.25x
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(b) Howen plans to charge a given amount (36) per hour, so her revenue will be the product of that amount and the number of hours she works:
R(x) = 36x
__
(c) Her profit function is the difference between revenue and cost:
P(x) = R(x) -C(x)
P(x) = 36x -(5550 +8.25x)
P(x) = 27.75x -5550
Howen's break-even point is the number of hours required to make profit be zero:
0 = 27.75x -5550
0 = x - 200 . . . . . . . . . divide by 27.75
200 = x . . . . . . . . . . . . add 200
She needs to work 200 hours to break even.