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3 years ago

In the slope intercept equation of a line which quantity is given by the constant term

1 answer:

4 0

The slope intercept form is y = mx + c.

The quantity given by the constant term c, is the vertical or y intercept.

It is the point where the line cuts the y axis, and this point, x = 0.

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find the area of a parallelogram if a base and corresponding altitude have the indicated lengths base 1 1/2 feet , altitude 6 in

Ostrovityanka [42]

The area of parallelogram is 108 square inches

Solution:

The formula for area of parallelogram is:

$Area = base \times height$

From given,

$Base = 1\frac{1}{2}\ feet = \frac{2 \times 1 + 1}{2} = \frac{3}{2}\ feet$

$Height = 6\ inches$

Convert feet to inches

1 feet = 12 inches

$\frac{3}{2}\ feet = \frac{3}{2} \times 12\ inches = 18\ inches$

Therefore, area of parallelogram is:

$Area = 18 \times 6\\\\Area = 108$

Thus area of parallelogram is 108 square inches

4 0

3 years ago

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immedia

Hatshy [7]

This question is incomplete, the complete question is;

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y" = -1.5x + 85.

He also calculated that the value of r, the correlation, was -0.61.

what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning

Answer:

Interpretation of coefficient of determination R² = 0.3721

R² = 0.3721, meaning 37.21% of the total variation in test scores can be explained by the least square regression line

Step-by-step explanation:

Given the data in the question;

the least square regression line is;

y" = -1.5x + 85

the correlation coefficient r = -0.61

Now, the coefficient of determination R² is square of correlation coefficient r

R² = -61²

R² = 0.3721

8 0

3 years ago

Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided

scoray [572]

Let me express the equation clearly:

lim x→-9 (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation.

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

7 0

3 years ago

Tina is planning to paint a wood box she is using small paint cans that cover 20 square feet of surface area how many cans will

valkas [14]

Answer:

How much is the ouside of the box?

7 0

3 years ago

Match each scenario with the type of correlation it shows

Dafna1 [17]

Yellow line- no correlation.
Blue Line- Positive
Green line- negative
Srry if wrong pls brainless

7 0

3 years ago