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Mandarinka [93]
3 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]3 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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Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft
sveta [45]
<h3>Answer:  300 square feet</h3>

Explanation:

The trapezoid has area of

A = h*(b1+b2)/2

A = 6*(10+18)/2

A = 84

The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.

Adding the two sub-areas gets us: 84+216 = 300

The total area of the house-shaped figure is 300 sq ft.

5 0
2 years ago
Y = 2/3 when x = 0.2
azamat
Please explain some more:)
4 0
2 years ago
Identify the slope by converting standard form into slope-intercept form.<br> 12x - 9y = -9
Novosadov [1.4K]

Answer:

4/3

Step-by-step explanation:

12x-9y=-9

9y=12x-(-9)

9y=12x+9

y=12/9x+9/9

y=4/3x+1

y=mx+b where m=slope and b=y-intercept,

so the slope is 4/3

8 0
2 years ago
Help pliz Triangles ABC and DEF are similar.<br> Find the length of segment AC.
Natali5045456 [20]

Answer:

DE= 0.4

Step-by-step explanation:

8 0
3 years ago
In parallelogram RSWY, find m
LuckyWell [14K]

Answer:

Part A) m\angle R=110^o

Part B) m\angle S=70^o

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

step 1

Find the value of x

we know that

m\angle R=m\angle W ----> by definition of parallelogram (opposite angles are congruent)

substitute the given values

(5x-90)^o=(2x+30)^o

solve for x

5x-2x=30+90\\3x=120\\x=40^o

step 2

Find the measure of angle R

m\angle R=(5x-90)^o

substitute the value of x

m\angle R=(5(40)-90)=110^o

step 3

Find the measure of angle S

we know that

m\angle R+m\angle S=180^o ---> by definition of parallelogram (consecutive angles are supplementary)

we have

m\angle R=110^o

substitute

110^o+m\angle S=180^o

m\angle S=180^o-110^o

m\angle S=70^o

8 0
3 years ago
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