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Novosadov [1.4K]
3 years ago
9

Jackson's car was making a rumbling noise for 2 weeks. He decided to take it to the mechanic to get it checked out. To diagnose

the problem, the mechanic tells Jackson that he charges a flat, one-time fee of $60 and then $35 for each hour he spends trying to identify the problem. What is the slope in this scenario?
Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Answer:

The slope is 35

Step-by-step explanation:

Given

One\ Time\ Fee = \$60

Hourly\ Rate = \$35

Required

Determine the slope

First, we need to determine the equation.

Let y represents the total charges and x represents the number of hours.

y is calculated using;

y = One\ Time\ Fee + Hourly\ Rate * x

This gives:

y = 60 + 35* x

y = 60 + 35x

Reorder

y =35x + 60

The general form of an equation is:

y =mx + b

Where m represents the slope

By comparison of y =mx + b and y =35x + 60

m = 35

<em>Hence, the slope is 35</em>

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3 years ago
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

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(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

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8 0
3 years ago
Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec
slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

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Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

a)

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c)

The probability for Poisson random variable X can be calculated as

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So,

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d)

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P(at least one case of rabies)=1-0.0273=0.9727

8 0
3 years ago
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