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il63 [147K]
2 years ago
15

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

d spent $7.50 on a ticket. How much money did each boy have left after buying his ticket?
A. Draw a bar diagram that represents the situation.

B. Write and solve an equation that represents the situation.

C. Explain how you solved your equation.

D. Compare the arithmetic solution and the algebraic solution.
Mathematics
1 answer:
IRISSAK [1]2 years ago
3 0
I would say the correct answer is B

I might be wrong
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g People between the ages of 65 and 70 were studied to see if those who exercise more were healthier. One measure of health was
liubo4ka [24]

Answer:

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

Step-by-step explanation:

We have a group of people between agss of 65 and 70.

They are divided in two groups regarding their amount of exercise: "none", "moderate" and "high".

The response variable is blood pressure, that was categorized as "normal"or "high".

Then,  we have the frequencies table as:

Amount of exercise          None    Moderate    High

Blood pressure High          54              23            7

Blood pressure Normal      86              76            32

We have to calculate the probability that, given that the person had high blood pressure, he or she did not exercise.

If the person had high blood pressure, it can be of the any of the 3 groups of exercise amount. There are 54 people with high blood pressure that did not exercise, 23 that did moderate amount of exercise, and 7 that did a high amount.

Then, the probability can be calculated dividing the amount of people that had high blood pressure and did not exercise, by all the people that have high blood pressure (regarding the amount of exercise):

P(N | HP)=\dfrac{54}{54+23+7}=\dfrac{54}{84}=0.643

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

5 0
3 years ago
Write a linear function F with the values F(-9)=8 and F (0) =1
Fiesta28 [93]

Given:

The values of a linear function are F(-9)=8 and F(0)=1.

To find:

The linear function.

Solution:

If a linear function passes through two points, then the equation of the linear function is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The values of a linear function are F(-9)=8 and F(0)=1. It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:

y-8=\dfrac{1-8}{0-(-9)}(x-(-9))

y-8=\dfrac{-7}{9}(x+9)

y-8=\dfrac{-7}{9}(x)+\dfrac{-7}{9}(9)

y-8=\dfrac{-7}{9}x-7

Adding 8 on both sides, we get

y-8+8=\dfrac{-7}{9}x-7+8

y=\dfrac{-7}{9}x+1

Putting y=F(x), we get

F(x)=\dfrac{-7}{9}x+1

Therefore, the required linear function is F(x)=\dfrac{-7}{9}x+1.

5 0
2 years ago
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