What is the equation of a line with an x-intercept of -3 and a y-intercept of 5?

When two data sets are compared, what characteristics will give the most accurate prediction? Explain.

TiliK225 [7]

Answer:

Step-by-step explanation:

Regression and Prediction Perhaps the most common goal in statistics is to ... a model to predict individual outcomes for new data, rather than explain data in hand .... overall accuracy of the model, and is a basis for comparing it to other models

4 0

3 years ago

Read 2 more answers

On tax free weekend Michael bought 3 shirts that cost $19.50 each. He used a coupon for 25% off of the total purchase. Rounded t

trasher [3.6K]

His total would be 58.50 then you multiply by .25 percent then you take 14.63 and subtract that from the total and you get 43.87

8 0

3 years ago

1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.

xxTIMURxx [149]

First, rewrite the equation so that y is a function of x :

$x^4 = y^6 \implies \left(x^4\right)^{1/6} = \left(y^6\right)^{1/6} \implies x^{4/6} = y^{6/6} \implies y = x^{2/3}$

(If you were to plot the actual curve, you would have both $y=x^{2/3}$ and $y=-x^{2/3}$ , but one curve is a reflection of the other, so the arc length for 1 ≤ x ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)

The arc length is then given by the definite integral,

$\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx$

We have

$y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}$

Then in the integral,

$\displaystyle \int_1^8 \sqrt{1 + \frac49x^{-2/3}}\,\mathrm dx = \int_1^8 \sqrt{\frac49x^{-2/3}}\sqrt{\frac94x^{2/3}+1}\,\mathrm dx = \int_1^8 \frac23x^{-1/3} \sqrt{\frac94x^{2/3}+1}\,\mathrm dx$

Substitute

$u = \dfrac94x^{2/3}+1 \text{ and } \mathrm du = \dfrac{18}{12}x^{-1/3}\,\mathrm dx = \dfrac32x^{-1/3}\,\mathrm dx$

This transforms the integral to

$\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du$

and computing it is trivial:

$\displaystyle \frac49 \int_{13/4}^{10} u^{1/2} \,\mathrm du = \frac49\cdot\frac23 u^{3/2}\bigg|_{13/4}^{10} = \frac8{27} \left(10^{3/2} - \left(\frac{13}4\right)^{3/2}\right)$

We can simplify this further to

$\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}$

7 0

3 years ago

Which figure represents an undefined term?

Fudgin [204]

In geometry, the three undefined terms are: the point, the plane and the straight line.

Since all the given graphs represent lines,we will need to choose the straight line among them.

Straight line is a line that has no start and no end.

From the choices:
Figures a and c are rays
figure b is a line segment
figure d is a straight line

Therefore, the correct choice is: D

8 0

3 years ago

Read 2 more answers

Ms.Sinnott has 7/12 m of string and she cuts the string into eight pieces how long are the new piece of string

Elina [12.6K]

Answer:

7/96 m

Step-by-step explanation:

7/12 ÷ 8 = 7/96

4 0

3 years ago