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Svet_ta [14]
2 years ago
14

Joel has a summer job cutting lawns. The relationship between his profit, P , in dollars and the

Mathematics
1 answer:
mote1985 [20]2 years ago
5 0

Answer:

There is a direct relationship between the profit P and the number of lawns cut

The initial value is (0,-100)

Step-by-step explanation:

Firstly, we want to know the type of variation that is between the profit and the number of lawns.

Now, looking at the graph, we can see that as the number of lawns increase, there is a corresponding increase in the profit causing a sharp rise in the graph.

What this represents is that there is a direct relationship between the two quantities.

Now, we are told to get the initial value.

Looking at the plot, we can see that the number of lawns is the x axis while the profit is the y axis

The initial value is that point at which we have the graph intersecting the y-axis which is below the x-axis

This point is the point (0,-100)

This point gives the initial value of the relationship

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3 years ago
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When rolling a number cube what is the probability of rolling a number greater than 5?
pav-90 [236]

Answer:

⅙

Step-by-step explanation:

On a dice, only number greater than 5 is '6'.

7 0
3 years ago
Sammy is making a bacon wrapped pizza for dinner. She is wrapping 47.1 inches of bacon around the outside edge of the pizza. Wha
yKpoI14uk [10]

Answer:

Approx. 1.8 in.²

Step-by-step explanation:

Circumference of a circle (the pizza) = 2πr

Area of a circle = πr²

Set 2πr = 4.71 (because that's the length of bacon around the pizza) and solve for the radius "r". Then plug that "r" into the area equation πr² to find the area. You should get 1.8 square inches if I plugged them in correctly.

5 0
3 years ago
In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha
mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0
3 years ago
Juan and his little brother Miguel ran around a circular track together. Juan ran on the inner track, which has a radius of 30 f
eduard

Answer:

80pi-60pi

Step-by-step explanation:

To find how much Juan ran, we must find the circumference.

pi *30*2=60*pi  (which is how much Juan ran.)

pi*40*2=80*pi (which is how much Miguel ran)

80pi-60pi would be how much farther Miguel ran than Juan.

8 0
2 years ago
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