Answer:
3/4
Step-by-step explanation:
1 + .1 = 1.1 (Making the multiplier)
1.1 * 38.75 = 42.625
The price is $42.625
Answer:
B. Variance = r2 = 0.7225
Step-by-step explanation:
Given the correlation coefficient, variance is obtained by squaring the correlation coefficient to obtain what is also know as coefficient of determination. Gives information on the predictive power of the model
Answer:
167,886,383 basketballs
Step-by-step explanation:
We are asked to find how many basketballs would take to circle around the equator. We have given the earth's radius. So, we need the formula to obtain it's perimeter. Thus:
![Perimeter = Pi*diameter [m]\\Where Pi = 3.14](https://tex.z-dn.net/?f=Perimeter%20%3D%20Pi%2Adiameter%20%5Bm%5D%5C%5CWhere%20Pi%20%3D%203.14)
Earth's diameter is simply radius*2. It means:
![P= 3.14*6400*2 = 40,192 [km]](https://tex.z-dn.net/?f=P%3D%203.14%2A6400%2A2%20%3D%2040%2C192%20%5Bkm%5D)
On the other hand, we have a basketball crcumference; however, we need to obtain its diameter so that we can later calculate how many basketballs fit on earth's equator by simply dividing earth's circumference by a basketball's diameter.
Diameter of a basketball:
![D= Perimeter /Pi [m]](https://tex.z-dn.net/?f=D%3D%20Perimeter%20%2FPi%20%5Bm%5D)
We need to change units to fit in the international system.
29.6 in to cm = ![29.6*2.54 = 75.184 [cm]](https://tex.z-dn.net/?f=29.6%2A2.54%20%3D%2075.184%20%5Bcm%5D)
Then:
![Diameter=75.184/3.14 = 23.94 [cm]](https://tex.z-dn.net/?f=Diameter%3D75.184%2F3.14%20%3D%2023.94%20%5Bcm%5D)
We have to convert earth's perimeter in km to cm:
![Equator=40192[km]*100000=4,019,200,000 [cm]](https://tex.z-dn.net/?f=Equator%3D40192%5Bkm%5D%2A100000%3D4%2C019%2C200%2C000%20%5Bcm%5D)
Finally, dividing total earth's circumference by a basketball diameter:
![Totalbasketballs=4,019,200,000/23.94= 167,886,383 [basketballs]](https://tex.z-dn.net/?f=Totalbasketballs%3D4%2C019%2C200%2C000%2F23.94%3D%20167%2C886%2C383%20%5Bbasketballs%5D)
Answer:
5 inches
Step-by-step explanation:
Since the length of the sides of a cube are all equal,
volume of cube
= side ×side ×side
= (side)³
125= (length of side)³
Cube root both sides:
Length of each edge
![= \sqrt[3]{125}](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B3%5D%7B125%7D%20)
= 5 inches