It would be the same value as the y value of line b since for parallel lines are only off set by their x value
Step-by-step explanation:
a. P(mites OR ticks) = P(mites) + P(ticks) − P(mites AND ticks)
P(mites OR ticks) = 0.80 + 0.30 − 0.20
P(mites OR ticks) = 0.90
b. P(no ticks | mites) = P(no ticks AND mites) / P(mites)
P(no ticks | mites) = (0.80 − 0.20) / 0.80
P(no ticks | mites) = 0.75
c. If two events are independent, then P(A and B) = P(A) × P(B).
P(mites AND ticks) = 0.20
P(mites) × P(ticks) = 0.80 × 0.30 = 0.24
They are not independent.
Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20r%5E3)
Where "r" is the radius.
<u>Volume of the grapefruit</u>
You know that its diameter is 16 centimeters.
Since the radius is half the diameter, you get that its volume is:
![V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3](https://tex.z-dn.net/?f=V_g%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20%28%5Cfrac%7B16%5C%20cm%7D%7B2%7D%29%20%5E3%5C%5C%5C%5CV_g%3D%202%2C144.66%5C%20cm%5E3)
<u> Volume of the lime</u>
According to the information given in the exercise, the diameter of the lime is 8 centimeters.
As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:
![V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3](https://tex.z-dn.net/?f=V_l%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20%28%5Cfrac%7B8%5C%20cm%7D%7B2%7D%29%20%5E3%5C%5C%5C%5CV_l%3D%20268.08%5C%20cm%5E3)
In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:
![\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times](https://tex.z-dn.net/?f=%5Cfrac%7B2%2C144.66%5C%20cm%5E3%7D%7B268.08%5C%20cm%5E3%7D%5Capprox8%5C%20times)
Answer:
Angle 1 is 60°
Step-by-step explanation:
Answer:
x^2 + y^2 = 25 (third one)
Step-by-step explanation:
formula is x^2 + y^2 = r^2 (r = the radius)
the radius is 5 so r^2 is 25.