Answer: The radius of the circular rug is 6 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
<em>Area of a circle (A) = pi r²
</em>
Where r is the radius:
Replacing with the values given:
36 pi=pi r²
Dividing both sides by pi:
36 = r²
√36= r
r = 6 meters
So, the radius of the circular rug is 6 meters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
The least square regression equation for the information provided is y = 9.72x - 40.776
<u>The general equation of a regression model can be expressed thus</u>:
Calculating slope, b :
- b = 0.81(177.6 / 14.8) = 9.72
<u>Plugging the values of b, y and x into the equation in other to calculate c</u> :
696 = 9.72(75.8) + c
696 = 736.776 + c
c = 696 - 736.776
c = - 40.776
Therefore, the linear regression model can be expressed as : y = 9.72x - 40.776
Learn more :brainly.com/question/18405415
<u>Answer:
</u>
Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.
<u>Solution:</u>
Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.
We know,
In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.
Using the given below equation, we will try to find out the investments at each rate.
x = 32000
We can calculate amount for 7% interest rate by,
(66000-32000) =34000
Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.
