Explain why this is not proportional (the graph) -Thank you :)

Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 mile

natka813 [3]

Answer:

The total time taken to complete 25 miles is 7.6 hours.

Solution:

Ben walks 5 miles in 1 hour,

Second 5 miles in 1.4 hours,

Third 5 miles in 1.7 hours,

Last 5 miles in 1.8 hours

So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)

So his average speed is $\left(\frac{20}{6}\right)$ miles/hours = 3.33 miles/hours.

i.e. he travels 3.3 miles in 1 hour,

Then, he travels 1 miles in $\left(\frac{1}{3.3}\right)$ hours

Hence the total time he will take to walk 25 miles is $\left(25 \times\left(\frac{1}{3.3}\right)\right) \text { hours }$ $\Rightarrow \left(\frac{25}{3.3}\right) \text { hours } = 7.5757 hours$

That is approximately 7.57 or 7.6 hours.

8 0

3 years ago

Consider the functions below. f(x) = x² - 6x - 27 g(x) = x - 9

aleksklad [387]

Correct answer: 1) (f/g)(x)

Solution: f(x)=x^2-6x-27=(x+3)(x-9)

3 0

2 years ago

Find the equation of the line (in slope-intercept form) through the points (1,-4) and with slope 5/2.

Phoenix [80]

Answer:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Equation of the line using point

( 1 , - 4) and slope 5/2 is

$y + 4 = \frac{5}{2} (x - 1) \\ \\ y + 4 = \frac{5}{2} x - \frac{5}{2} \\ \\ y = \frac{5}{2} x - \frac{5}{2} - 4 \\ \\ \\ y = \frac{5}{2} x - \frac{13}{2}$

Hope this helps you

8 0

3 years ago

A painter needs 412 gallons of white paint. He has 1 1/4 gallons of white paint in his truck, and another 3/6 gallon of white pa

Aneli [31]

Answer:

Im pretty sure the answer is 410 2/3

I hope this helped to answer your question.

Have a great day! :)

8 0

3 years ago

A running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The runnin

patriot [66]

Answer:

Option B is correct.

Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Step-by-step Explanation:

The clear, complete table For this question is presented in the attached image to this solution.

It should be noted that For this question, the running coach wants to test if participating in weekly running clubs significantly improves the time to run a mile.

In the data setup, the mean time to run a mile in January for those that participate in weekly running clubs and those that do not was provided.

The mean time to run a mile in June too is provided for those that participate in weekly running clubs and those that do not.

Then the difference in the mean time to run a mile in January and June for the two classes (those that participate in weekly running clubs and those that do not) is also provided.

Since, the aim of the running coach is to test if participating in weekly running clubs significantly improves the time to run a mile, so, it is logical that it is the improvements in running times for the two groups that should be compared.

Hence, we should use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Hope this Helps!!!

7 0

3 years ago

Explain why this is not proportional (the graph)-Thank you :)