All categories

3 years ago

What is the difference between slope and unit rate?

Mathematics

1 answer:

Aleks04 [339]3 years ago

5 0

Slope is for a average rate and unit rate is what you get for just one thing

You might be interested in

Please please please

lapo4ka [179]

The answer is y= 3/4x - 4.

6 0

3 years ago

What is the equation of the following line? be sure to scroll down first to see all answer options

andreyandreev [35.5K]

Answer:

The equation for the following graph:

$y = -\frac{1}{5}x$

Step-by-step explanation:

- You first need to find the slope by using the slope formula:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(where $(x_{1},y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Use the given points $(0,0)$ and $(10, -2)$ from the graph for the formula:

$m = \frac{-2 - 0}{10 - 0}$

Then, you solve:

$m = \frac{-2 - 0}{10 - 0}$

$m = -\frac{1}{5}$

After you have found the slope, use the slope $-\frac{1}{5}$ and the first point $(0,0)$ for the point-slope formula:

$y - y_{1} = m ( x - x_{1})$

(where $m$ is the slope and $(x_{1}, y_{1})$ is the first point)

$y - 0 = -\frac{1}{5} ( x - 0)$

Then, you solve:

$y - 0 = -\frac{1}{5} ( x - 0)$

$y - 0 = -\frac{1}{5}x - 0$

$y - 0 + 0 = -\frac{1}{5} - 0 + 0$

$y = -\frac{1}{5}x$

So, the equation for the following graph is $y = -\frac{1}{5}x$ .

7 0

3 years ago

How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) - 2

VladimirAG [237]

Answer:

Infinite

Step-by-step explanation:

3(4x + 1) - 2

= 12x + 3 - 2 (Multiply the sum in the bracket by 3)

= 12x + 1 (Simplify)

This means that:

12x + 1 = 3(4x + 1) - 2

is the same as

12x + 1 = 12x + 1

Hence, anything that is used to substitute x is correct.

4 0

3 years ago

The amount spent on heating depends on the average temperature

anastassius [24]

That's D.

A(t) is the amount as a function of the temperature t.

7 0

3 years ago

Read 2 more answers

In the 1980’s, a clinical trial was conducted to determine if taking an aspirin daily reduced the incidence of heart attacks. Of

zubka84 [21]

There is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

$H_{0} :p{1} -p_{2} =0$

$H_{1}:p_{1} -p_{2} < 0$

We have to find the respective probabilities.

$p_{1}$ =104/11037

=0.0094

$p_{2}$ =189/11034

=0.0171

Now their respective margin of errors.

$s_{1}$ = $\sqrt{ {(0.0094*0.9906)/11037}$

=0.0009

$s_{2}$ = $\sqrt{0.0171*0.9829}$

=0.0011

Hence the distribution of the differences,they are given by:

p= $p_{1} -p_{2}$

=0.0094-0.0171

=-0.0077

S= $\sqrt{s_{1} ^{2}+s_{2} ^{2} }$

= $\sqrt{(0.0009)^{2} +(0.0011)^{2} }$

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.

Learn more about t test at brainly.com/question/6589776

#SPJ4

6 0

2 years ago