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mrs_skeptik [129]
2 years ago
6

Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is the probability that at mos

t 8 of them take the bus to school?
77.9%
90.4%
22.5%
92.5%​
Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

<h3>How to find the probability?</h3>

We know that roughly 75% of the students take the bus, then, if we select a student at random.

  • There is a probability of 0.75 that the student takes the bus.
  • There is a probability of 0.25 that the student does not take the bus.

The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:

p = (0.75)^9 = 0.075

Then we have:

P = 1 - 0.075 = 0.925

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

If you want to learn more about probability, you can read:

brainly.com/question/251701

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the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount
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Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

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Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?  

The budget is given by the equation

y=40

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Part b)  How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

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y=3.55(0)+8=8

The y-intercept is the cost of the car wash

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The cost of the car wash is $8

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we know that

The slope of the linear equation is

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therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

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3.55x+8 \leq 40

Solve for x

3.55x \leq 40-8

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y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

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A coin collection is made up of 34 coins comprised of nickels and dimes. The total value of the collection is $1.90. How many di
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Answer:

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