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3 years ago

Y varies directly with x. When y is 105, x is 7. What is k

Mathematics

1 answer:

marta [7]3 years ago

6 0

Answer:

Given:

varies inversely with

So, we can write it as:

∝

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- Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $27. He also incurred

Vera_Pavlovna [14]

Answer: Adrian will need to fix 25 bikes to reach a break even point.

3 0

3 years ago

A snowball has a radius of 7cm. What is the volume of the snowball?

BabaBlast [244]

Answer:

The volume is 1436.8 $in^2$ .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

$V = \frac{4}{3} \pi r^3$

-Use the radius for the formula:

$V = \frac{4}{3} \pi 7^3$

-Then, you solve:

$V = \frac{4}{3} \pi 7^3$

$V = \frac{4}{3}$ × $\pi$ × $7^3$

$V = \frac{4}{3} \pi$ × $343$

$V = \frac{1372}{3} \pi = 1436.755$

-Round the answer to the nearest tenth:

$V = 1436.8$

So, therefore the volume is 1436.8 $in^2$ .

7 0

3 years ago

What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

Method 1:

Using regression analysis the line of best fit is: $y=\alpha +\beta x+e$

Here α = intercept, β = slope and e = error.

The formula to compute the intercept is:

$\alpha =\bar y-\beta \bar x$

Here $\bar y$ and $\bar x$ are mean of the y and x values respectively.

$\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}$

The formula to compute the slope is:

$\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}$

And the formula to compute the error is:

$e=y-\alpha -\beta x$

Method 2:

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

$(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)$

Here r = correlation coefficient = $r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }$

$\sigma_{x}$ and $\sigma_{y}$ are standard deviation of x and y respectively.

$\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}$

3 0

3 years ago

Somebody help me please..

nadya68 [22]

I believe the answer is B I pretty sure

5 0

2 years ago

Read 2 more answers

There are 250 votes tallied in a school election with 3 candidate:A, Candidate B, and Candidate C. If 150 of the votes are for c

Tanya [424]

The answer is 75 and here's why.

Let's figure out the amount of remaining votes to prove this.

250 total votes - 150 votes for candidate a = 100 votes.

minus ↑ sign

Candidate B received 25% of the votes, so let's find 25% of 100

100 * 0.25 = 25 votes

Candidate B only got 25 votes (that's kinda sad, poor guy)

100 - 25 votes = the # of votes candidate C got

Candidate C got 75 votes!

3 0

3 years ago