Answer:
y = 0.019x - 7
32.9 therms
0.019 therms
1.9 therms
Step-by-step explanation:
Given the following :
X =size of house (sq ft)
Y = Amount of natural gas used
The general form of a some linear regression model :
y = ßx + a
Where ;
ß = slope or gradient
x = independent variable
y = predicted value
a = y- intercept value
(A)
If ß = slope of population regression line = 0.019
a = y intercept of population regression line = -7
The regression model could be expressed as :
y = 0.019x + (-7)
y = 0.019x - 7
(B)What is the mean value of gas usage for houses with 2100 sq ft of space?
Here x = 2100 sq ft ; Inputting the value of x into the regression equation:
y = 0.019x - 7
y = 0.019(2100) - 7
y = 39.9 - 7
y = 32.9 therms
C) What is the average change in usage associated with a 1 square foot increase in size?
Change in usage associated with change in size can be gotten from :
ßx, where, ß change in y with respect to x ;
x = 1 square foot
ß = 0.019
Change = 0.019*(1) = 0.019 therms
(d) What is the average change in usage associated with a 100 square feet increase in size?
ßx, where, ß change in y with respect to x ;
x = 100 square feet
ß = 0.019
Change = 0.019*(100) = 1.9 therms
Answer:
<em>Is a tangent</em>
Step-by-step explanation:
<em>* Great question by the way *</em>
~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~
1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.
2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.
3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:
AB^2 + OA^2 = BO^2,
15^2 + x^2 = 17^2,
<em>x = 8</em>
4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8
5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition <em>AB is a tangent</em>
Answer:
Yes
Step-by-step explanation:
a rational number is a number that can be written as a fraction. Rational numbers are all real numbers, and can be positive or negative. A number that is not rational is called irrational. Most of the numbers that people use in everyday life are rational. These include fractions and integers.
- 3.4 is a integer and also a rational number.
Answer:4566878888
Step-by-step explanation:
Answer:
435.73 revolutions per minute
Step-by-step explanation:
Find the circumferance of the wheel.
27 times π which is 84.823 inches
divide that by 12 to get it into feet, 7.061 feet
Divide by 5280 to get that to miles, 0.001 miles
Divide 35 by 60 to get how many miles per minute the car travels, 0.583
Divide your miles per minute by the diameter of wheel
Your answer will be 435.73 Revolutions per Minute
