Step-by-step explanation:
6. 4. it's a 3,4,5 triangle
7 10x10 + 6x6 = 136
x = √136 = 11.7
2 hours 30 minutes
Step-by-step explanation:
60/90=100/x
60x=9000
x=150 minutes or 2 hour 30 minutes
Answer:
Surface Area =
inches²
<u><em>OR</em></u>
Surface Area ≈ 24.4 inches²
Step-by-step explanation:
Surface Area = ![a^2+2a\sqrt{\frac{a^2}{4} +h^2}](https://tex.z-dn.net/?f=a%5E2%2B2a%5Csqrt%7B%5Cfrac%7Ba%5E2%7D%7B4%7D%20%2Bh%5E2%7D)
Where a = 2 inches and h = 5 inches
Surface Area = ![(2)^2+2(2)\sqrt{\frac{2^2}{4} + (5)^2}](https://tex.z-dn.net/?f=%282%29%5E2%2B2%282%29%5Csqrt%7B%5Cfrac%7B2%5E2%7D%7B4%7D%20%2B%20%285%29%5E2%7D)
Surface Area = ![4+4\sqrt{\frac{4}{4} +25}](https://tex.z-dn.net/?f=4%2B4%5Csqrt%7B%5Cfrac%7B4%7D%7B4%7D%20%2B25%7D)
Surface Area =
inches²
<u><em>OR</em></u>
Surface Area ≈ 24.4 inches²
Answer:
The expected value is -$0.17
Since it gives a negative expected value, the game is not favorable and should not be played
Step-by-step explanation:
Here, we want to calculate the expected game value and decide if the game is worth playing
Probability of rolling a six is 1/6
Probability of rolling a 5 is 1/6
Probability of rolling a number less than 5 is 4/6 = 2/3
So the only way to win is rolling a six
The expected value is thus;
1/6(3) - 0(1/6) - 2/3(1)
= 1/2 - 2/3
= -$0.17
Since the game gives a negative expected value, it is not favorable and should not be played