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3 years ago

Pls help me it would mean a lot <3

Mathematics

2 answers:

LekaFEV [45]3 years ago

5 0

Answer:

The equation of the line will be:

$y\:=\:\frac{2}{5}x$

Step-by-step explanation:

We know the slope-intercept of a line equation is

$y = mx+b$

where m is the slope and b is the y-intercept

Given two points on a line graph

(0, 0)

(25, 10)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)$

$m=\frac{10-0}{25-0}$

$m=\frac{2}{5}$

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

$y = mx+b$

$y\:=\:\frac{2}{5}x+0$

$y\:=\:\frac{2}{5}x$

Therefore, the equation of the line will be:

$y\:=\:\frac{2}{5}x$

katen-ka-za [31]3 years ago

3 0

I believe it would be y=2.5x

Have an amazing day :3

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Round 21.333 to the nearest minute

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Answer: 21

Step-by-step explanation: 21 because we have to round to the nearest minute, also known as a whole number. 21.333 can be rounded to 21 since 3 is less than 5.

5 0

3 years ago

Read 2 more answers

Please please please help me I'm really confused and I don't understand it

maxonik [38]

Answer : p=2

2p-2-5x=-2(7-2x)

First, work on the parentheses. So the -2 on the outside as to be multiplied by the 7 , which gets -14 . Then you multiply the -2 by the 2x, which is 4x.

It will go from -2(7-2x) to -14+4x
But if the -14+4x looks too confusing, you can just switch them around to look “normal”. So it would be 4x-14 .

Now that we’re finished with one side of the problem, we’ll go to the other side.

On the left side , there are two variables, or letters. Because they are the same letter (p) all you have to do is add them together.

3p
-5p
+—-
-2p

And then just carry the -2 that was originally there , so it’s -2p-2

Now the equation is
-2p-2 = 4p-14

So we’re going to add 2p to both sides.

The -2p on the left cancels out, and the 4p on the right side becomes 6p

-2 = 6p-14

Next, you are going to want to isolate the variable. (Leave the letter by itself) so you add 14 to the -14 , so it can cancel out. (AND DO THE SAME ON THE OTHER SIDE)
So, you add 14 to the -2 on the left of the equation. Which comes out to 12.

12 = 6p

Lastly, divide the 6p , so you can get the letter on it’s own. And do the same on the other side.

12 divided by 6 is 2

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4 0

4 years ago

Gina spins a penny 100 times and it lands head side up 38 times. Explain why Gina's experimental probability may be different fr

Advocard [28]

Answer:

Step-by-step explanation:

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Experimental: 38 times occurred/ 100 trials = 38/100 = 38%

Theoretical: 1/2 chance a coin lands on heads, 1/2 chance a coin lands on tails. 1/2 = 50%

Onne depends on chance, and one on facts, they are different.

Experimental Probability can vary for flipping a coin

Theoretical Probability will always be 50%

Hope this info helps with your explanation. =)

Tell me if you need more help

7 0

3 years ago

Table below shows the age in years and the retail value in thousands of dollars of a random sample of ten automobiles of the sam

horrorfan [7]

Answer:

Step-by-step explanation:

Hello!

Given the study variables

X: Age of an automobile (years)

Y: Retail value of an automobile (thousands of dollars)

a) Construct a scatter diagram.

(attached image)

b) Compute the linear correlation coefficient r. Interpret its value in the context of the problem.

The formula for the correlation coefficient (Person) is:

$r= \frac{sum(XY)-\frac{sum(X)*sum(Y)}{n} }{[sum(X^2)-\frac{(sum(X))^2}{n}] * [sum(Y^2)-\frac{(sum(Y))^2}{n} ] }$

First you have to do some intermediate summatories:

∑x= 40

∑x²= 174

∑y= 246.30

∑y²= 6154.15

∑xy= 956.5

$r= \frac{956.5-\frac{40*246.3}{10} }{[147-\frac{(40)^2}{10}] * [6154.15-\frac{(246.3)^2}{10} ] }$

r= -0.818 ≅ 0.82

-0.82 indicates there is a strong negative linear correlation between the age of the automobiles and the retail price. Wich means that the older the car, the less it costs.

c) Compute the least squares regression line. Plot it on the scatter diagram.

Interpret the meaning of the slope of the least-squares regression line in the context of the problem.

The least squares regression line is Y= a + bX

To calculate the regression line you need to calculate the values of "a" and "b"

$a= (\frac{sum(Y)}{n} ) -b(\frac{sum(X)}{n} )$

$a= (\frac{246.3}{10} ) -(-2.05)(\frac{40}{10} )$

a= 32.83

$b= \frac{sum(XY)-\frac{sum(X)*sum(Y)}{n} }{sum(X^2)-(\frac{sum(X)^2}{n})}$

$b= \frac{956.5-\frac{40*246.3}{10} }{174-(\frac{40^2}{10})}$

b= -2.05

Y= 32.83 - 2.05X

Check attachment for graphic.

-2.05 $(\frac{years}{thousanfs of dollars})$ is the modification of the estimated mean of the retail value of automobiles every time their age increases one year. In other words, every time the automobiles increase their age in one year, the price decreases 2.05 thousands of dollars.

e) Suppose a 20 -year-old automobile of this make and model is selected at random. Use the regression equation to predict its retail value. Interpret the result.

You need to calculate the value of Y for a value of X of 20 years. To do so you replace the values in the regression equation:

Y= 32.83 - 2.05(20)

Y= -8.17 thousands of dollars.

Under the model Y= 32.83 - 2.05X, a 20-year-old automobile has a retail price of -8.17 thousands of dollars.

This is mathematically correct even if it doesn't make sense in context.

f) Comment on the validity of using the regression equation to predict the price of a brand new automobile of this make and model.

You can only use the regression equation to predict possible values of Y for values of X that are between the range of definition of the variable. In this case, the variable is defined in numbers from 2 to 6 years.

You can predict values outside the range of definition of X but the further these values are from the definition range, the less accurate and imprecise the prediction is.

For example in question e) I've predicted the value of Y for X= 20 years, although I've obtained a result truth is that this prediction is not accurate nor reliable.

I hope it helps!

8 0

4 years ago

What is the answer ?

k0ka [10]

Answer:

Step-by-step explanation:

5 0

3 years ago