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Stels [109]
3 years ago
8

Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

ide. Which function can be used to determine how much money he has left over after x rides? f(x) = 1.5x + 70 f(x) = −1.5x + 70 f(x) = −1.5x − 70 f(x) = −20x + $90
Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

-1.5x + 70

Step-by-step explanation:

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

Now, remaining money left to him after spending on x rides too is

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

f(x) = 70 - 1.50x

f (x) = -1.50x +70

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Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

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1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685

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