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3 years ago

Find the distance between the points (0,-9) and(4,-6)

Mathematics

1 answer:

Len [333]3 years ago

8 0

Answer:

d=5

Step-by-step explanation:

1. use the distance formula: d= $\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}$

2. plug in the points: d= $\sqrt{(0-4)^{2} +(-9+6)^{2}$

3. solve problem inside parentheses: d= $\sqrt{(-4)^{2} +(-3)^{2}$

4. square -4 and -3: d= $\sqrt{16+9$

5. add:d= $\sqrt{25$

6. find square root: d=5

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For each of parts (a) through (d), indicate whether we would generally expect the performance of a flexible statistical learning

olga_2 [115]

Step-by-step explanation:

First, note that a flexible statistical learning method refers to using models that take into account agree difference in the observed data set, and are thus adjustable. While the inflexible method usually involves a model that has no regard to the kind of data set.

a) The sample size n is extremely large, and the number of predictors p is small. (BETTER)

In this case since the sample size is extremely large a flexible model is a best fit.

b) The number of predictors p is extremely large, and the number of observations n is small. (WORSE)

In such case overfiting the data is more likely because of of the small observations.

c) The relationship between the predictors and response is highly non-linear. (BETTER)

The flexible method would be a better fit.

d) The variance of the error terms, i.e. σ2=Var(ϵ), is extremely high. (WORSE)

In such case, using a flexible model is a best fit for the error terms because it can be adjusted.

6 0

2 years ago

What would be the answer to this problem <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7x-3%7D%7B9%7D%20%5Cgeq%208-2x" id="TexForm

Alenkasestr [34]

Answer:

$x\geq 3$

Step-by-step explanation:

6 0

2 years ago

Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallon of blue paint. M

Sauron [17]

Here is the set up:

(3/4)[(11/8) + (11/9) + (7/8)]

Do the math to find your answer.

3 0

3 years ago

Read 2 more answers

Please help me with these questions , thank you

Angelina_Jolie [31]

Answer:

1. 4 $x^{3}$ + 26x² + 4x - 48

2. 2 $x^{3}$ - 23x² + 60x - 32

3. $x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4. 2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8) + 6(4x² + 2x - 8)

4 $x^{3}$ + 2x² -8x + 6(4x² + 2x -8)

4 $x^{3}$ + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4 $x^{3}$ + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + -16x² + 56x - 32

Combine like terms:

2 $x^{3}$ - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x( $x^{4}$ + 7x² - 4) + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

No like terms to combine, so:

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2 $x^{6}$ - 7 $x^{5}$ + 3) + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 8 $x^{6}$ - 28 $x^{5}$ + 12

Combine like terms:

2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

hope this helps!

8 0

2 years ago

Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago