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Mandarinka [93]
4 years ago
9

4) How many cards must you draw from a deck of 52 cards to have at least 5 cards of one suit?

Mathematics
1 answer:
malfutka [58]4 years ago
4 0
<h3>Answer: 17 cards</h3>

================================================

Explanation:

The best case scenario is that you pull 5 cards from the same suit in a row (eg: 5 spades in a row).  However, we have to plan for the worst case scenario that way we can guarantee to have 5 cards in one suit without having to look at the cards.

The worst case scenario is that you pull cards such that you get one suit at a time (eg: spade, heart, club, diamond). On the 5th draw, we finally get a card that repeats a suit.

If we repeat the sequence {spade, heart, club, diamond} in that order a total of two times, then we'll have 8 cards with 2 cards per suit.

Doing that sequence four times we'll have 4*4 = 16 cards and 4 cards per suit. That 17th card will repeat a suit a fifth time and this is when we'll be guaranteed to have at least 5 cards of one suit.

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In Exercises 6 and 7, use the given measure to find the missing value in each data set. 6. The mean of the ages of 5 brothers is
strojnjashka [21]

Solution

Problem 6

For this case we can do this:

12, 16,__, 14, 8, 7

We can solve for x like this:

\frac{12+16+x+14+8+7}{6}=13x=13\cdot6-(12+16+14+8+7)=21

Problem 7

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7 0
1 year ago
In Geometry what is the meaning of the following symbol?
BartSMP [9]

Answer:

D. Is congruent to

Step-by-step explanation:

This symbol is used when two figures have exactly same lengths and angles, which means they are congruent

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3 years ago
How far did this person travel in Section C ( hours 6-7) Remember to include units​
cestrela7 [59]
From C in 1 hour they traveled 30 miles
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3 years ago
Elliott is standing at the top of a store escalator that leads to the ground floor below. the angle of depression from the top o
erma4kov [3.2K]

By using what we know about right triangles, we conclude that the height is 11ft.

<h3>How far is the top of the escalator from the ground floor? </h3>

We can think of this as a right triangle.

Where the length of the escalator is the hypotenuse

We know that the angle of depression is 42.51°, then the top angle of our right triangle is:

90° - 42.51° = 47.49°

Now, the height of the top of the escalator would be the adjacent cathetus to said angle, then we can use the relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing what we know:

cos(47.49°)  = height/16ft

cos(47.49°) *16ft = height = 10.8ft

Rounding to the nearest foot, we get:

height = 11ft

If you want to learn more about right triangles:

brainly.com/question/2217700

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4 0
2 years ago
Indra completed 80% of her test questions. If there were 120 questions, how many questions she complete
kramer

Answer:

96 questions

Step-by-step explanation:

Given that:

Total number of questions = 120

Percentage questions completed = 80%

Number of questions completed =?

Number of questions completed = total number of questions * percentage questions completed

Number of questions completed = 120 * 0.8

Number of questions completed = 96

4 0
3 years ago
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