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Damm [24]
2 years ago
14

Joe’s Plumbing and Mark’s Plumbing have different ways of charging their customers. The function defined by J(t)=45t represents

the total amount in dollars that Joe’s Plumbing charges for t hours of work.
Mark’s Plumbing charges $40 per hour plus a $25 trip charge.

Which plumbing service company has a higher rate per hour? Justify your answer.





What domain values for both functions are reasonable in this context? Justify your answer.





Leyla needs to hire a plumber to fix a few things around her house. She will need plumbing service for a total of 3 hours. Which plumbing service should she go with to save money? How much will she save? Justify your answer.
Mathematics
1 answer:
Contact [7]2 years ago
6 0

Answer:

Joe's Plumbing charges more per hour ($45) than Mark's Plumbing (S40)

Step-by-step explanation:

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3 years ago
Toney tossed a coin off a bridge. The path of the coin's height can modeled by the equation below. h(t) = − 16 t^2 + 40 t + 20 W
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Answer:80

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6 0
3 years ago
Khalil has 13.5 M of lanyard he needs to cut the lanyards into pieces that are 90 cm long how many full-length pieces of a lanya
Dmitry [639]

We have been given that Khalil has 13.5 M of lanyard. He needs to cut the lanyards into pieces that are 90 cm long. We are asked to find the number of full-length pieces of a lanyard will Khalil be able to cut.

First of all, we will convert 13.5 meter into cm.

1 meter = 100 cm

13.5 meters = 13.5*100 = 1350 cm.

Now we will divide 1350 by 90 to find number of pieces of lanyard that can be cut from 1350 cm.

\text{Number of full-length pieces of a lanyard}=\frac{1350}{90}

\text{Number of full-length pieces of a lanyard}=15

Therefore, Khalil will be able to cut 15 full-length pieces of a lanyard.

3 0
3 years ago
Ruby signed up for a frequent-filer program. She receives 3400frequent-flier miles for the first round trip and 1200 miles for a
vovangra [49]

Answer: 8200 miles

Step-by-step explanation:

Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:

= 3400 + 1200x

x = additional trips = 4

We then put the value of x into the equation

= 3400 + 1200x

= 3400 + 1200(4)

= 3400 + 4800

= 8200

She'll have 8200 mile after 5 round trips

3 0
2 years ago
In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces
nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

The probability of being higher than x is:

P(X > x) = \frac{b - x}{b-a}

The probability of being between c and d is:

P(c \leq X \leq d) = \frac{d-c}{b-a}

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that a = 8.5, b = 12

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

P(X \leq x) = \frac{x - a}{b-a}

P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

P(X > x) = \frac{b - x}{b-a}

P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

P(c \leq X \leq d) = \frac{d-c}{b-a}

P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0
3 years ago
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