Total Time = (M x K) / (M + K)
5 = (8 x K) / (8 + K)
40 + 5 K = 8K
40 = 3K
King can do the job in 13.33 Hours
King could mow (1 / 13.33) of the lawn in one hour.
Answer: 0, 4, -9
Set the equation equal to zero.
x(x - 4)(x + 9) = 0
Solve for x by setting each factor equal to zero.
The factors in the equation are x, (x - 4), and (x + 9).
x = 4
x = -9
The zeros of the function are 0, 4, and -9.
729 is 3 to the 5th power
3 x 3 x 3 x 3 x 3 is 729
Winston would need to sell 14 more hot dogs to earn $175
Step-by-step explanation:
The given is:
- Winston earns $140 by selling 56 hot dogs
- He is using the same rate for the cost of one hot dog
- He want to earn $175
We need to find how many more hot dogs would Winston need to sell to earn $175
∵ The he sold 56 hot dogs for $140
- Find the price of each hot dog by dividing 140 by 56
∴ The price of each hot dog = 140 ÷ 56 = 2.5
∴ The price of each hot dog is $2.5
∵ He need to earn $175
∵ He sells all hot dogs by the same price
- Divide 175 by 2.5 to find the number of the hot dogs
∵ 175 ÷ 2.5 = 70
∴ He must sell 70 hot dogs to earn $175
∵ He already sold 56
- Subtract 56 from 70 to find how many more hot dogs he
needs to sell
∵ 70 - 56 = 14
∴ He must sell another 14 hot dogs to earn that money
Winston would need to sell 14 more hot dogs to earn $175
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
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Answer:
4 days
Step-by-step explanation:
We need to use the probability functions of each of the intervals to know the Probability number and then use it in the expected value.
P(x>3 cargo ships) = 1-P(x<=3)
P(x>3) = 1-P(x<=3)
P(x>3) = 1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)]
![P(x>3) = 1 - [\frac{e^{-2}2^0}{01}+\frac{e^{-2}2^1}{11}+\frac{e^{-2}2^2}{21}+\frac{e^{-3}2^3}{31}]](https://tex.z-dn.net/?f=P%28x%3E3%29%20%3D%201%20-%20%5B%5Cfrac%7Be%5E%7B-2%7D2%5E0%7D%7B01%7D%2B%5Cfrac%7Be%5E%7B-2%7D2%5E1%7D%7B11%7D%2B%5Cfrac%7Be%5E%7B-2%7D2%5E2%7D%7B21%7D%2B%5Cfrac%7Be%5E%7B-3%7D2%5E3%7D%7B31%7D%5D)
P(x>3) = 1- [0.1353(1+2+2+1.33)]
P(x>3) = 1-0.856
P(x>3) = 0.1431
Als n=30, expected number is
E(x) =30*P(x>3)
E(x) = 30*0.1431
E(x) = 4.293
I expect 4.293 or 4 days per month the block being unable to hanlde all arriving ships
