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2 years ago

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the odds in favor of frank winning a hot dog eating contest are 4:9. the probability that frank win and the probability that fra

nk lose?

1 answer:

igor_vitrenko [27]2 years ago

7 0

Answer: Frank has a 4 out 15 chance of winning and 9 out 15 chance of losing

Step-by-step explanation:

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Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL

Bond [772]

At the bottom of the composite figure we have half a sphere, of radius 10 in.

The volume of this hemisphere would be half the volume of the full sphere, or:

(1/2)(4/3)π(10 in)^3, or (2/3)π(1000 in^3), or (2000/3)π in^3.

On top is the cone of radius 10 and slant height 15 in. To find the volume of this cone-shaped solid, we'll need the height of the cone. This can be found using the Pyth. Thm. as follows:

15^2 = 10^2 + h^2, where h is the height of the cone.

225 = 100 + h^2, so that h= √125, or 5√5. The height of the cone is 5√5 in.

Then the volume of the cone is V = (1/3)(base)(height)

= (1/3)(π)(100 in^2)(5√5 in)

= 500√5/3(π) in^3

The total volume of the composite solid is then

(2000/3)(π in^3) + ( 500√5/3(π) ) in^3), or

(π/3)(4+√5) in^3. This comes out to 6.53 in^3, to the nearest hundredth.

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2 years ago

At the school play, 194 people attended the show on the first night and 185 people attended the show on the second night. How ma

LUCKY_DIMON [66]

379 people attended the show

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2 years ago

Read 2 more answers

Which type of interest rate is not adjusted for different factors, including inflation?

Murrr4er [49]

Answer:

C: Nominial interest rate

Step-by-step explanation:

C

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2 years ago

Solve for x: <br> 3x+2y=7

iVinArrow [24]

$3x+2y=7\ \ \ |subract\ 2y\ from\ both\ sides\\\\3x=7-2y\ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\dfrac{7-2y}{3}}$

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2 years ago

You found the prime factorization of the number 73 explain how you can check your answer

antoniya [11.8K]

9514 1404 393

Explanation:

You can check your answer by making sure that each of the primes you found is actually a prime. (Compare to a list of known primes, for example.) After you have determined your factors are primes, multiply them together to see if the result is 73. If so, you have found the correct prime factorization.

__

<em>Additional comment</em>

73 is prime, so its prime factor is 73.

73 = 73

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2 years ago