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2 years ago

The table represents a bicycle rental cost in dollars as a

Mathematics

1 answer:

Ainat [17]2 years ago

3 0

Answer:

(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

Step-by-step explanation:

The equation of direct variation is ...

y = kx

for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.

<h3>constant of variation</h3>

Solving the direct variation formula for k, we have ...

k = y/x

Using the table values, we can see if this is constant:

k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5

The "rate of change" is constant at $5 per hour.

The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

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3 years ago

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 30 and 60 minutes. One

Stella [2.4K]

Answer:

a) 0.1667 = 16.67% probability that the student requires more than 55 minutes to complete the quiz.

b) 0.3333 = 33.33% probability that the student completes the quiz in a time between 30 and 40 minutes.

c) 0% probability that the student completes the quiz in exactly 37.23 minutes.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

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

The probability of finding a value between c and d is:

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

The probability of finding a value above x is:

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

Uniformly distributed between 30 and 60 minutes.

This means that $a = 30, b = 60$

a. The student requires more than 55 minutes to complete the quiz.

$P(X > 55) = \frac{60 - 55}{60 - 30} = 0.1667$

0.1667 = 16.67% probability that the student requires more than 55 minutes to complete the quiz.

b. The student completes the quiz in a time between 30 and 40 minutes.

$P(30 \leq X \leq 40) = \frac{40 - 30}{60 - 30} = 0.3333$

0.3333 = 33.33% probability that the student completes the quiz in a time between 30 and 40 minutes.

c. The student completes the quiz in exactly 37.23 minutes.

Probability of an exact value in a continuous distribution, such as the uniform distribution, is 0%, so:

0% probability that the student completes the quiz in exactly 37.23 minutes.

7 0

3 years ago

Sam said the square root of a rational number. Jenna disagreed. She said that it is posible that the square root of a rational n

lapo4ka [179]

Answer:

Jenna is correct.

Step-by-step explanation:

I will assume that is what you meant.

Jenna is correct .

The square root of 4 ( = 2) is rational but,

for example, 2 is a rational number but the square root of 2 is irrational. Try finding the square root of 2 on your calculator. Your answer will be something like 1.414213562 but that decimal fraction goes on without bounds. No calculator will ever have enough memory to store that number!!

8 0

3 years ago

A butcher is dividing a round of beef into 3 equal sized roasts. If each roast weighs 7.9 pounds, and there are 1.4 pounds of be

Gelneren [198K]

The answer is B hope it helps :)

7 0

3 years ago

Read 2 more answers

Write equivalent fractions for 3\5 and 1\4 using 20 as the conman denominator

Sindrei [870]

Answer:

12/20=3/5 5/20=1/4 so the answer would be 12/20 + 5/20

4 0

3 years ago