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podryga [215]
3 years ago
5

Diego plays center forward on his soccer team. On average, he scores 1.25 goals per match. The tally of his total goals for the

season is given by function f(x) = 1.25(38 − x), where x is the number of matches he plays. What is the inverse of the given function?
Mathematics
1 answer:
masya89 [10]3 years ago
3 0
F(x) = 1.25(38 - x)

Finding the inverse of a function:
y = f(x)

y = 1.25(38 - x)

Solve for x:
y = 1.25(38 - x)
y/1.25 = 38-x
x = 38 - y/1.25

Switch x and y.

y = 38 - x/1.25

f^-1(x) = 38 - x/1.25

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Answer:

a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

If a box contains cards bearing numbers from 6 to 70, the total outcome will be the total number present from 6 to 70 which is 65

a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

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The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

The total expected outcome in this case = 19

The probability that the number drawn are composite numbers between 50 and 70= 19/65

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