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2 years ago

1) The table and graph shows the relationship between GPA, X, and SAT score, y.

Mathematics

1 answer:

Artist 52 [7]2 years ago

6 0

The statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

From the data given, we can calculate the correlation coefficient, slope of the line, and y-intercept.

r = 0.90

Since r is close to 1 shows a strong correlation.

Slope of the line of best fit = 437.9

Y-intercept of line of the best fit = 439.4(Refer to the attached picture)

The line will be:

y = 437.9x + 439.4

Thus, the statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4

Learn more about the line of best fit here:

brainly.com/question/14279419

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Which is greater pls help 108.505 108.5? pls help!!

Citrus2011 [14]

Answer:

108.505

Step-by-step explanation:

Let's talk money for just a second. Which would you rather have 20 dollars or 20.32 20dollars and 32 cents?

Isn't 20.32 bigger than 20.

You should say yes.

If that is true, then 108.505 should be larger than 108.5 not by much, but still larger.

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3 years ago

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3 years ago

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

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3 years ago

The volume of a cylinder is 4 pi x3 cubic units and its height is x units.

Rzqust [24]

Answer:

$2x$

Step-by-step explanation:

The volume of a cylinder, $V$ is given by the formula,

$V=\pi r^{2}h$

Where, $r$ is the radius and $h$ is the height of the cylinder.

Here, $V=4\pi x^{3}$ , $h=x$ . Plug in these values and solve for radius, $r$ .

This gives,

$V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\$

Taking square root both sides, we get

$\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x$

Therefore, the radius of the cylinder can be expressed as $2x$ .

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3 years ago

Write the standard form of the equation of the line that passes through (3,2) and is parallel to the line whose equation is y=2x

Agata [3.3K]

Your answer is y=2x-4

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3 years ago