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lara [203]
3 years ago
15

In the table shown, the ratio of miles biked to hours biked is constant.

Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Using proportions, it is found that the proportion \frac{m}{7} = 11 is used to determine the value of m.

-----------------

  • We look at both tables, one show the distance in miles biked and the other shows the number of hours biked.
  • From the tables, we can check that the relation is proportional, that is, in each hour, 11 miles are biked, as \frac{132}{12} = \frac{44}{4} = \frac{11}{1} = 1.
  • Thus, the following proportional relationship between m and h is established:

\frac{m}{h} = 11

  • m is found when h = 7, thus, the proportion is:

\frac{m}{7} = 11

A similar problem is given at brainly.com/question/24342347

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lilavasa [31]

Answer:

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Company fires the CEO

Event B: Shares increase by more than 5%.

Probability of a company firing it's CEO:

35% of 100 - 4 = 96%(shares did not increase by more than 5%).

60% of 4%(shared did increase by more than 5%).

So

P(A) = 0.35*0.96 + 0.6*0.04 = 0.36

Intersection of events A and B:

Fires the CEO and shared increased by more than 5%, is 60% of 4%. So

P(A \cap B) = 0.6*0.04 = 0.024

Probability that the shares of a company that fires its CEO will increase by more than 5%.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.024}{0.36} = 0.0667

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

5 0
3 years ago
What is the slope of 4,17 and 1,8
Sindrei [870]

Answer:

Slope (m)= 3

Step-by-step explanation:

m= (Y2-Y1)/(X2-X1)

m= (17-8)/(4-1)

m= 9/3

m=3

8 0
3 years ago
Seven to the power of two times five
Simora [160]

Answer:

245

Step-by-step explanation:

7 times 7 is 49 times 5 is 245

5 0
3 years ago
Solve for x<br> x − 13 = 6x<br><br> x =
kompoz [17]

Answer:

The correct answer is x = -13/5.

Step-by-step explanation:

To solve this problem, we need to bring all of the x terms to one side of the equation and all of the constant terms to the other side of the equation.

First, we should subtract x from both sides to cancel out the positive x on the left side of the equation.  This is modeled below:

x - 13 = 6x

x - x - 13 = 6x - x

- 13 = 5x

Next, we should divide both sides by 5 in order to get the variable x completely isolated on the right side of the equation.

-13/5 = 5x/5

-13/5 = x

Therefore, your answer is x = -13/5.

Hope this helps!

6 0
3 years ago
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Answer:

b = 94/79

Step-by-step explanation:

47/79 = x/2

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x = 94/79

7 0
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