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insens350 [35]
3 years ago
7

You're playing a game where you defend your village from an orc invasion. There are 333 characters (elf, hobbit, or human) and 5

55 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

8/15

Step-by-step explanation:

khan acdamy

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What are the solutions to the quadratic equation x^2 + 8x - 8 = 0?
Elanso [62]

Answer:

x=−4+2√6 or x=−4−2√6

E is the answer

4 0
2 years ago
the area of a rectangle garden is 38 1/4 square meters.The width of the garden is 4 1/2 meters.Find the length of the garden.
never [62]
Area = 38 1/4 = 153/4

Width = 4 1/2 = 9/2

Area = Length x Width

Length = Area/Width

So divide both of them:
\sf{ \frac{153}{4} \div \frac{9}{2} =\sf{ \frac{153}{4} \times \frac{2}{9} = \frac{9 \times 17}{2\times 2}\times \frac{2}{9} = \frac{17}{2}

So the length is equal to \boxed{\sf{\frac{17}{2}}}

4 0
2 years ago
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Salsk061 [2.6K]
Triangular
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4 0
2 years ago
Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911
nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

\lambda=\dfrac{1}{2}

(a) What is the expected number of 911 calls in one hour?

\lambda=\dfrac{1}{2}\times 60=30

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

\lambda=\dfrac{1}{2}\times 5=2.5

Number of calls = 3

So, P(X=3) is given by

P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820

Hence, a) 30, b) 0.2138, c) 0.0820

4 0
3 years ago
The volume of a bathtub is 32,400 in.³ If the width is 30 inches and the length is 60 inches what is the depth
marysya [2.9K]

Answer:

18 inches

Step-by-step explanation:

volume = lenght * width * depth

let the depth be x

32400=60*30*x

x=32400/(60*30)

x=32400/1800

x=18

3 0
3 years ago
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