<u>The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.</u>
95 times 2 is 190.
90 times 2 is 180, and 5 times 2 is 10.
180 + 10 = 190.
Answer:
<em>The probability that the second ball is red is 71%</em>
Step-by-step explanation:
<u>Probabilities</u>
We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).
The first ball can be red (R) or green (G). The probability that it's red is computed by
![\displaystyle P(R)=\frac{5}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28R%29%3D%5Cfrac%7B5%7D%7B7%7D)
The probability is's green is computed by
![\displaystyle P(G)=\frac{2}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28G%29%3D%5Cfrac%7B2%7D%7B7%7D)
If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is
![\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28RR%29%3D%5Cfrac%7B5%7D%7B7%7D%5Ccdot%20%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B10%7D%7B21%7D)
If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is
![\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28GR%29%3D%5Cfrac%7B2%7D%7B7%7D%5Ccdot%20%5Cfrac%7B5%7D%7B6%7D%3D%5Cfrac%7B5%7D%7B21%7D)
The total probability of the second ball being red is
![\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28XR%29%3D%5Cfrac%7B10%7D%7B21%7D%2B%5Cfrac%7B5%7D%7B21%7D%3D%5Cfrac%7B5%7D%7B7%7D%3D0.71)
The probability that the second ball is red is 71%
Answer:
1 = 175ft cubed
2 = 58m cubed
3 = 140m cubed
4 = 180in cubed
Step-by-step explanation:
You have to split these complex shapes into parts and find the volume of each part. Then, add the parts' volumes together, which will be the total volume of these. The equation is V=bhw. V means volume, b means base, h means height, and w means width. Hope this helps!
Answer:
m = 3/2
Step-by-step explanation:
Use the slope formula: (y2 - y1) / (x2 - x1)