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andriy [413]
2 years ago
13

Adriana is planning to ride the public bus to and from school this year. She wants to figure out how much it will cost her. The

bus ride costs $1.25` each direction.
Let C represent the total cost of Adriana's bus rides and let r represent how many times Adriana rides the bus in one direction. Identify a quantity to be the independent variable and one to be the dependent variable for this situation.

I WILL MARK BRAINLIEST
Mathematics
1 answer:
lutik1710 [3]2 years ago
4 0

Answer:

C is the dependent variable and r is independent

Step-by-step explanation:

Adriana can ride the bus any number of times she wants. No one is stopping her from doing that so 'r' becomes an independent quantity.

Whereas, the total cost for the bus rides depends on the number of times Adriana rides the bus and the relation is given as, C=1.25r

This is because it costs $1.25 each time she rides the bus in one direction

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TiliK225 [7]

The descriptive answer of different part is described below.

<h3>What is Linear Equation?</h3>

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

  150 -75 = 75t -50t, combine likes terms

          75 = 25t, divide both sides by 25

            3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C:

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

Learn more about Linear equation from:

brainly.com/question/11897796

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Answer:

\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}                

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}

Sample size, n = 35

Sample mean, \bar{x} = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

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  • It is also known as false positive error.
  • It is the rejecting of a true null hypothesis.

Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

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