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3 years ago

Why is it important to consider scale when graphing inequalities?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

5 0

Answer:

Because to get a straight line you need a scale. Otherwise you will not be able to graph a straight line.

Hope this helps:)

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Plz help quick will mark as brainliest

Vitek1552 [10]

Answer:

1. a^mn= (a^m)^n

2. a^m+n= a^m • a^m

3. 1= a^0

4. a^m • b^m = ab^ m

5. 1/a^n = (a)^m

Step-by-step explanation:

^ means exponent

• means multiply

6 0

4 years ago

A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?

kupik [55]

Answer:

There are 2,598,960 5 draw poker hands are there.

There are 311,875,200 5-stud poker hands.

Step-by-step explanation:

When the order is not important, we use the combinations formula:

For example, eating an apple and an orange is the same as eating an orange and an apple.

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

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

When the order is important, we use the permutations formula:

For example, a 3 digit credit card password, 123 is different than 213.

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?

Here, the ordering is not important, so we use the combinations formula.

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

There are 2,598,960 5 draw poker hands are there.

In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there?

The ordering is important, so we use the combinations formula.

$P_{(52,5} = \frac{52!}{47!)} = 311875200$

There are 311,875,200 5-stud poker hands.

7 0

4 years ago

You're playing a game where you defend your village from an orc invasion. There are 333 characters (elf, hobbit, or human) and 5

zvonat [6]

Answer with explanation:

→Number of characters in the game =3 (elf, hobbit, or human)

→Number of defense tools in the game =5 (magic, sword, shield, slingshot, or umbrella)

⇒Total number of elements in the set ,which consist of 3 characters and 5 defense tools = 3 × 5=15→→{(elf,magic),(elf,sword),(elf,shield),(elf,slingshot),(elf,umbrella),(Hobbit,magic),(Hobbit,sword),(Hobbit,shield),(Hobbit,slingshot),(Hobbit,Umbrella),(Human,magic),(Human,sword),(Human,shield),(Human,slingshot),(Human,Umbrella)}

→Out of 15 different ,pairs of Characters and tools,there are 7 pairs in which ,Hobbit as a character and umbrella as a defense tool is used. (Hobbit,magic),(Hobbit,sword),(Hobbit,shield),(Hobbit,slingshot),(Hobbit,Umbrella), (Human,Umbrella), (elf,umbrella).

Then, required probability

$=\frac{\text{Total favorable outcome}}{\text{Total Possible outcome}}\\\\=\frac{15-7}{15}=\frac{8}{15}$

7 0

3 years ago

Read 2 more answers

3. Solve each equation, and check your solution.

Alisiya [41]

1) 2m - 16 = 2m + 4

2m - 2m = 4 + 16

0 = 20 (no solution)

2) -4(r + 2) = 4(2 - 2r)

-(r + 2) = 2 - 2r

-r - 2 = 2 - 2r

-r + 2r = 2 + 2

r = 4

3) 12(5 + 2y) = 4y - (6 - 9y)

60 + 24y = 4y - 6 + 9y

60 + 24y = 13y - 6

24y - 13y = -6 - 60

11y = -66

y = -6

7 0

3 years ago

Write three equivalent ratios for the given ratio. 7. 12

777dan777 [17]

Answer:

Step-by-step explanation:

7/12

1)7*2/12*2 = 14/24

2) 7*3 / 12*3 = 21/36

3) 7*4/12*4 = 28/48

6 0

3 years ago