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lapo4ka [179]
3 years ago
12

A gambler playing blackjack in a casino using four decks noticed that 20% of the cards that had been dealt were jacks, queens, k

ings, or aces. After x cards had been dealt, he knew that the likelihood that the next card dealt would be a jack, a queen, a king, or an ace was (64-0.2x)/(208-x) For what values of x is this likelihood greater than 70%? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The number of cards dealt must be more than and less than or equal tc The likelihood that the next card dealt would be a jack, a queen, a king, or an ace can never be greater than 70%.
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

x = 162 cards need to be dealt with

Step-by-step explanation:

Given:

- Estimation of likelyhood of next card to be queen, a king, or an ace:

                                  ( 64 - 0.2*x ) / ( 208 - x )

Find:

For what values of x is this likelihood greater than 70%?

Solution:

- Use the likely-hood estimation relation and set up the inequality as follows:

                                 ( 64 - 0.2*x ) / ( 208 - x ) > 0.7

                                 ( 64 - 0.2*x ) > 0.7*( 208 - x )

                                   64 - 0.2*x > 145.6 - 0.7*x

                                          0.5*x > 81.6

                                                 x > 163.2

- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%

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Answer:

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8 0
3 years ago
I Need The Answer Plz!!! Geometry Is Hard!!!
Scorpion4ik [409]

Answer:

B. 10

Step-by-step explanation:

First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)

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3 years ago
A meeting takes place between a diplomat and fifteen government officials. However, ten of the officials are actually spies. If
tigry1 [53]

Answer:

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8 0
3 years ago
Ms. Peters drove from her home to the park
worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

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Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

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So , distance between home  and park is 10 miles

Now we calculate the time taken to return from park to home

time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

\frac{1}{4} \cdot 60=15

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0
3 years ago
Let f(x) = x2 − 3x − 7. Find f(−3).
MrRa [10]
Answer is:
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5 0
3 years ago
Read 2 more answers
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