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Aleks [24]
2 years ago
15

4. Five cards are randomly chosen from a deck of 52 (13 denominations with 4 suits). a. How many ways are there to receive 5 car

ds from a deck of 52
Mathematics
1 answer:
yan [13]2 years ago
4 0

Answer:

There are 2,598,960 ways to receive 5 cards from a deck of 52.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

a. How many ways are there to receive 5 cards from a deck of 52?

C_{52,5} = \frac{52!}{5!(47)!} = 2598960

There are 2,598,960 ways to receive 5 cards from a deck of 52.

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Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its
aivan3 [116]

Hi there!

<u>FACTS</u> :

The formula for the volume of a cylinder is : V = \pi × r² × h


<u>STEPS TO ANSWER:</u>

You have the diameter of the cylinder, which is 13cm.

In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:

13 ÷ 2 = 6.5

Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :

V = \pi × r² × h

V = \pi × <u>6.5²</u> × 24

V = \pi × <u>42.25 × 24</u>

V = \pi × 1,014

V = 3,185.574950......


Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
21. what are the excluded values of the function? y= 5/6x-72
tatiyna

you have to calculate the SID number and then take it upon yourself and divided X it's actual number and then there's a chance and the answer would be c.72

4 0
3 years ago
If you roll two four-sided dice numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 7? Enter a fractio
Anna [14]
The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2
8 0
3 years ago
Polygon ABCD is a scaled copy of polygon EFGH. Which angle corresponds to angle C? Select one: O F O O O
Alex73 [517]

Problem

Solution

If we look the graph careful we can see that the angle C is equivalent to the angle G

so then the best answer would be :

G

6 0
1 year ago
What sign of a null hypothesis must always include?
IrinaVladis [17]

Answer:

Option d - Equality

Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

The Null hypothesis represent by H_o

H_o always has a symbol with an equal in it.

Therefore, Option d is correct.

Equality sign of a null hypothesis must always include.

5 0
3 years ago
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