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qaws [65]
3 years ago
7

A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace,

two through ten, jack, queen, and king) for a total of 52 cards in all. How many 5-card hands will consist of exactly 3 kings and 2 queens?
Mathematics
1 answer:
lesantik [10]3 years ago
7 0

Answer:

24

Step-by-step explanation:

In a deck of 52 cards, there are 4 kings and 4 queens

Selection of 3 kings out of 4 = 4 C 3 = 4

Selection of 2 queens out of 4 = 6

So, total number of selections = 4 x 6 = 24

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Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?A tile is drawn and replaced,
Grace [21]
<span>Two events are said to be independent if the probability that one event occurs in no way affects the probability of the other event occurring.

Given that </span><span>Marco has a bag of red, blue, and green tiles.

The set of events that can be considered independent are:

</span>1.) <span>A tile is drawn and replaced, and then a second tile is drawn.
and
2.) </span><span>Two tiles are drawn at the same time.</span>
7 0
3 years ago
what is the hight of a cylinder with a volume of 384tt cubic inches and a radius of 8 inches? round to the nearest tenth of an i
skelet666 [1.2K]

Answer:

1.9 inches

Step-by-step explanation:

We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,

→ π × r² × h = 384

⇒ Substitute in 8 for 'r'

→ π × 8² × h = 384

⇒ Simplify

→ π × 64 × h = 384

⇒ Divide both sides by 64 to isolate π and h

→ π × h = 6

⇒ Divide both sides by π to isolate 'h' and find the value of the height

→ h = 1.9098593171

The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches

5 0
3 years ago
If m∠A = 87° and m∠B = 32°, find m∠1.<br><br> A.) 29°<br> B.) 61°<br> C.) 83°<br> D.) 119°
Rudiy27
The answer to your question is " D.)119"
6 0
3 years ago
Read 2 more answers
Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find
pantera1 [17]

<u>Answer:</u>

a(n) = 130 + (n-1) 13

13th term = 286

<u>Step-by-step explanation:</u>

We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.

We know that the arithmetic sequence can be defined by:

a_n=d(n-1)+c

where d = the common difference between consecutive terms ; and

c=a_1

<u>13th term:</u>

a_{13}=130+(12)13 = 286

Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.

4 0
3 years ago
(SHOW WORK! Need by tomorrow!) Write a system of equations to describe the situation below, solve using substitution, and fill i
Leto [7]

Answer:

1 hour later , 21 pages read

Step-by-step explanation:

x hour later they will read the same number of pages

Tori: 16 + 5x

cora: 13 + 8x

16 + 5x = 13 + 8x

minus 5x each sides: 16 = 13 + 3x

minus 13 each sides: 3 = 3x

divide 3 each sides: x = 1

1 hour later both of them will read 16 + 5 x 1 = 21 pages

check cora: 13 + 8 x 1 = 21

7 0
3 years ago
Read 2 more answers
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