The Reyes family is going to the mall. When they leave home,

Mathematics

1 answer:

Alex777 [14]1 year ago

8 0

What is the problem about?

Average speed

What information is given?

Starting odometer reading, ending odometer reading, time taken

What do you need to find?

The average speed of the car

An odometer measures the distance traveled by a wheeled vehicle

The starting odometer reading was 54,362 miles

The ending odometer reading was 54,372 miles

It took 15 minutes to get to the mall

Step 1: Find how far Reyes traveled in 15 minutes

54372 - 54362 = 10 miles

At this speed, the car will travel 10 miles in 15 minutes

Step 2: How far the Reyes would travel in 60 minutes?

The Reyes would travel 40 miles in 60 minutes

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nikitadnepr [17]

Answer: The margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%)

Step-by-step explanation:

Given : A New York Times poll found that 47% of the women said they do not get enough time for themselves.

The poll announced a margin of error of ± 3% for 95% confidence in its conclusions.

A margin of error gives that value of percentage error of in results by which any random value will differ from the real population value.

Here the margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%).

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Find the equation of a line passing through the point(-3,0) and (2,-3)

Svetradugi [14.3K]

Answer <u>(assuming the question allows it to be written in slope-intercept form)</u>:

$y = -\frac{3}{5} x-\frac{9}{5}$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ , substitute the given points' x and y values, and simplify:

$m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute real values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

$y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}$