Answer:
2/5 or 0.4
Step-by-step explanation:
10 students like building snowmen but do not like skiing
so students who like both building snowman and skiing = 60 - 10 = 50
Total number of students who does not like building snowman and also does not like skiing = 80 - 60 = 20
Therefore, the probability that a student who does not like building snowmen also does not like skiing = 20/50 = 0.4
Answer:
$285
Step-by-step explanation:
The mode of 44 and 51 is 47.50 and 47.50 x 6 equals 285
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
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<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
The rate of change of a function can be modeled with the following expression:
Where Δx is the change in x value, and Δk(x) is the corresponding change in k(x). We're given the two extremes of x, so we can calculate the change in x to be
To find the change in k(x), we can calculate the values of k(x) at x = -14 and x = -4 and find the difference between them:
So, the rate of change for the function from x = -14 to x = -4 is
3/8 because there are 3 numbers you want to land on and 8 total numbers.