An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.6 percent, and SAT I was last at 13.3 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been?

Answer:

take 48 degree as reference angle

use sine rule

sin48=opposite/hypotenuse

0.74=5.4/x

x0.74=5.4

x=5.4/0.74

x=7.29  m

Step-by-step explanation:

Answer:

[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]

Step-by-step explanation:

x²=6²+8²

=36+64

= 100

x=√100 = 10

Answer:

[tex]\displaystyle 10 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = x^2 \hookrightarrow 64 + 36 = x^2 \hookrightarrow \sqrt{100} = \sqrt{x^2} \\ \\ \boxed{10 = x}[/tex]

We only want the NON-NEGATIVE root sinse we are measuring the length of the hypotenuse.

I am joyous to assist you at any time.

Answer:

x=3, y=3√2

Step-by-step explanation:

This is a right isosceles triangle, so the sides of the main vertex are equal, so x=3

Using Pythagorean theorem:

y²=3²+3²=9+9=18

y=√18=3√2

Answer: Maybe a

Step-by-step explanation:

I mean it is confusing but still look over it

Answer:

The bottom one looks correct

Step-by-step explanation:

Any number from 1-infinity will make that true

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3/2)x - 2  

hope it helps

Answer:

D.21,600 kilograms

Step-by-step explanation:

The volume of the tank is Length x Width x Height (6*1.5*2.4)

So the volume is 21.6 cubic meters.

Therefore, there are 21.6 cubic meters of water.

The density of water is 1,000 kg per cubic meter. So multiply 1,000 to the number of cubic meters. (1,000*21.6)

The mass of the water in the tank is 21,600 kg

Answer:

10

Step-by-step explanation:

If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.

Answer:

it's basically 10, both sides are equal

Step-by-step explanation:

Answer:

Step-by-step explanation:

Data could exists in several different forms which often dictates if the data can be used directly in its raw format or if it requires conversion to another format. The nature of data is often very robust. Some data may occur as numeric and have meaning in terms of addition and other statistical properties; however some are only dummy and are restricted to (0's and 1's). Similarly, some may be used to show rank or depth and as such have no meaning while trying to perform Mathematical calculation. Therefore, choosing statistical summaries for the data sivj as the. Mean, median and mode will depend on the input, binary data cannot be summarized using the median or mean except the use of a modal score. While the presentation of the data using graphs also rewired that the nature of the data be considered before selecting a suitable chart (linen, bar, dot, pie and so on).

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/26

x=26/[tex]\sqrt{2}[/tex]

x=13[tex]\sqrt{2}[/tex]

x=18.38

x=18.4

The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The triangle ΔGFE is shown. And the angle ∠GFE is a right angle.

We know that the sine of an angle is the ratio of the perpendicular to the hypotenuse. Then we have

sin 45° = x / 26

x = 26 sin 45°

x = 26 × 0.707

x = 18.38 units

The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

X = 1.71

or

X = 1.70951

Step-by-step explanation:

Good Luck!

The required value of x for the given equation is approximately 1.71.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Equation:

The given equation is [tex]10(1.5)^{3x} = 80[/tex]

Divide both sides by 10.

[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]

Taking log on both sides, we get

[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]

Divide both sides by 3log(1.5).

x = log 8/ 3log(1.5)

x = 1.71

Therefore, the required value of x for the given equation is approximately 1.71.

Find out more about 'Equation' here:

brainly.com/question/11162571

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Answer: No

Step-by-step explanation:

Data: x+14<20

x=9? Is what your trying to find

Step one, Isolate x by subtracting 14 on both sides

X+14-14<20-14=X=6

Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.

Since x=6 isn't x=9, the answer is No

Answer: No

I hope this helps!

Answer:

the width is 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

P=4/28=1/7

Answer:

14.3% or 1/7

Step-by-step explanation:

4 / 28

4 students who play a sport and instrument divided by 28 total students

Answer:

a. 880

Step-by-step explanation:

Options are "a. 880 b. 90 c. 790 d. None of these choices"

Interval estimate of between 790 and 970 books checked out per day.

Lower limit is 790, Upper limit is 970

Point estimate of μ(x) = [Upper limit + Lower limit} / 2

Point estimate of μ(x) = [970 + 790] / 2

Point estimate of μ(x) = 1760/2

Point estimate of μ(x) = 880

So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.

Answer:

By using the pythagorean theorem a^2 + b^2 = c^2

D is the correct answer Where PQ

= √15^2+√19^2

=√ 225 + √361

= √ 586

Length of PQ = √586 = 24.2074368738(ans)

Answer:

131/156 or about 84%

5/14 or about 36%

Step-by-step explanation:

P(<6 classes) = number of males and females not taking 6 out of total males and females, which is 131/156 or about 84%

P(M,5) = 74/156 x 20/74 which reduces to 5/14

Answer:

Alcohol intake

Step-by-step explanation:

The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.

Answer:

need help asap

Step-by-step explanation:

Answer:

Each person would receive 2.8 kilograms of peaches.

y = -3(x - 6)

y = -3x + 18

3x + y = 18

Answer:

its 504 ok...........................

504. If you multiply all the numbers together, you get all the possible combinations of such events

Answer:

x=3 because 5-2=3 meaning 3+2=5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

x+2-2=5-2

x=3

subtract 2 from both sides of the equation

Answer:

your answer has to be A or B  cuz the rest fo match up with the measurements

Step-by-step explanation:

Answer:

ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps

Step-by-step explanation:

Answer:

y = 1/2 x - 2

Step-by-step explanation:

Slope-intercept form:

y = mx + b

You need to solve for y.

-x + 2y = -4

2y = x - 4

y = 1/2 x - 2

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Answer:

21 feet²

Step-by-step explanation:

To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.

There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.

The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.

5 · 3 = 15

The area of our first rectangle is 15 ft².

Next, we will find the area of the right rectangle, by multiplying 3 by 2.

3 · 2 = 6

The area of the second rectangle is 6 ft².

Now we can add the areas, 15 and 6, together to find the total area.

15 + 6  = 21

The area of the figure is 21 ft².

I hope this helps ^^ Good luck ∩_∩