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3 years ago

What is the probability of drawing a king and a 7 from a deck of cards without replacement?

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

6 0

P of king is 4/ 52 = 1/13

P of 7 = 4/51

total prob = 4/ 663

hope it helepd

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If the average (arithmetic mean) of 10,20,30,40, and x is 60, what is the value of x

Lilit [14]

60 = (10 + 20 + 30 + 40 + x)/5

300 = 100 + x

x = 200

Answer: 200

8 0

2 years ago

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

2 years ago

What is the least number n with the property that, in every group of n people, there are at least three people who are all frien

8_murik_8 [283]

Answer:

hello your question is incomplete attached below is a the complete question

answer : n = 5

Step-by-step explanation:

lets consider N to be 5

To prove that the least number 'n' = 5

we will represent this information in a graph as vertex

Black edge = Friends

Blue edge = not Friends

From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines

attached below is an explanation related to the choice of n = 5

considering n = 5 is satisfied by the explanation given

8 0

2 years ago

If angle P measures 60 degrees, what is the measure of angle C?<br> A)120<br> B)30<br> C)60

LenaWriter [7]

Answer:

Answer is 120

Step-by-step explanation:

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2 years ago

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Choose the property shown in 3 + 2 = 2 + 3

VikaD [51]

This is known as the commutative property of addition.

Hope this helps!

6 0

1 year ago

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