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ddd [48]
3 years ago
12

Plumber A charges $60 an hour. Plumber B charges $40 to visit your home plus $55 for each hour. For how many hours will the tota

l cost for each plumber be the same? How much will that cost be? IDENTIFY THE SOLUTION POINT. HINT: Remember Initial Value = Y-intercept RATE = Slope *
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

8 hours

$480

Step-by-step explanation:

Let us assume the hours be x

There should be two equations

For Plumber A = 60x

For Plumber B = 40 + 55x

Now in order to considered the cost to be the same we equate these two equations

60x = 40 + 55x

5x = 40

x = 8 hours

Now the total cost for plumber A is

= 480

And, the total cost for plumber B is

= 40 + 55(8)

= 480

hence, the total cost is $480

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A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks
klio [65]

Answer:

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that n = 1000 and p = \frac{700}{1000} = 0.7. So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

8 0
3 years ago
To get to school you can travel by car, bus or bicycle. If you travel by car, there is a 50% chance you will be late because the
Irina18 [472]

Answer:

a) 16.66%

b) 5%

Step-by-step explanation:

a)

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50%  of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%

b)

In this case, the teacher would assume

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0% take the bus

10% travel by car

So, in this case the probability would be

50% of 10% = (0.5)(0.1) = 0.05 = 5%

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allochka39001 [22]
In the equation the $50 would be the start up or in other words the y-intercept
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