Answer:
Step-by-step explanation:
Given
Regression Equation:
Required
Determine the slope of the regression line
The equation of regression is of the form
Where b represents the slope;
Compare to the given equation
We have that:
Hence; the slope is:
Answer:
<u>=-2y</u>
Step-by-step explanation:
y-3y
<u>=-2y</u>
If the line is parallel to y=-x+4, the line must have the same slope.
So, the slope of your line is -1.
Now we need to find the y intercept. We should use the point given.
y=mx+b
0=-1(5)+b
b=5
Equation: y=-x+5
Let the amount of money be M,
then Mr.Scruggs spent 1/5M <span>on dog treats, and so 4/5M was left.
4/5M was equally divided in 3 parts among his favourite charities, so each of these received:
</span>
<span>
i) each charity received 4/15 of the money.
ii)
</span>
<span>
4M=15*60
M=15*15
M= 225 (dollars).
Check: 4/5(225)=4*45=180, 180/3=60</span>
Answer:
About 95 miles
Step-by-step explanation:
Let's set up a proportion using the following set up:
miles / gallons = miles / gallons
We know the car can travel 38 miles on 2.4 gallons of gas.
38 miles / 2.4 gallons = miles/ gallons
We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.
38 miles / 2.4 gallons = x miles /6 gallons
38/2.4=x/6
We want to find x (miles for 6 gallons). Therefore, we must isolate x.
x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.
6*(38/2.4)=(x/6)*6
6*(38/2.4)=x
6*15.8333333=x
94.9999998=x
Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.
95 ≈x
x ≈95 miles
The car can travel about 95 miles on 6 gallons of gas.
