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Valentin [98]
3 years ago
9

Using a standard deck of playing cards, what is the probability of drawing a four, replacing the card, and then drawing a club?

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

D. 1/52

Step-by-step explanation:

There are four 4s in a deck of 52 cards, so there is a 4/52 chance of drawing a four on the first try.

Once you replace the card in the deck, the simulation starts over, meaning the events are independent and you are once again drawing from 52 possible cards.

Now, when you draw the club, the chance of this is 13/52 because there are 13 clubs in a deck.

Because events are independent, multiply the probabilities to determine the chance that both events occur.

\frac{4}{52} * \frac{13}{52}   =  1/52

You might be interested in
A geometric sequence is defined by the equation an = (3)3 − n.
Delvig [45]
PART A

The geometric sequence is defined by the equation

a_{n}=3^{3-n}

To find the first three terms, we put n=1,2,3

When n=1,

a_{1}=3^{3-1}

a_{1}=3^{2}

a_{1}=9
When n=2,

a_{2}=3^{3-2}
a_{2}=3^{1}

a_{2}=3

When n=3

a_{3}=3^{3-3}

a_{3}=3^{0}
a_{1}=1
The first three terms are,

9,3,1

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
r= \frac{a_{2}}{a_{1}}
r = \frac{3}{9}

r = \frac{1}{3}

PART C

To find
a_{11}

We substitute n=11 into the equation of the geometric sequence.

a_{11} = {3}^{3 - 11}

This implies that,

a_{11} = {3}^{ - 8}

a_{11} = \frac{1}{ {3}^{8} }

a_{11}=\frac{1}{6561}
4 0
3 years ago
What is the value of 2x4 + 5x when x=6?
wlad13 [49]
This would be 2(6)^4 + 5*6

=  2592 + 30

= 2622 Answer
5 0
3 years ago
Which figure is a trapezoid?
mojhsa [17]

Answer:

none of those

Step-by-step explanation:

A trapezoid is a 4-sided shape with 1 parallel side

Could you pls choose this as brainliest???!!!

3 0
2 years ago
Read 2 more answers
If x = 7 units, y = 11 units, and h = 8 units, then what is the area of the trapezoid shown above?
ehidna [41]

the answer is b, 72 square units :)

6 0
4 years ago
Paul was asked to use the elmination to find the solution to the system of linear equations
lbvjy [14]

Option B is correct.

Step-by-step explanation:

Paul was asked to use the elmination to find the solution to the system of linear equations

5x + 4y = 1\\-2x-8y = -26

What are the missing steps in his work below?

Let\\5x + 4y = 1\,\,eq(1)\\-2x-8y = -26\,\,eq(2)\\10x + 8y = 2 + (-2x-8y = -26) \\8x + 0y = -24 \\8x = -24 \\x = -3 \\Putting\,\,value\,\,of\,\,x\,\,in\,\,eq(1)\\5x + 4y = 1 \\5(-3) + 4y = 1\\-15 + 4y = 1 \\4y = 16\\y=4

So, the step missing is multiplying equation 1 by 2 i.e

2\times [5x + 4y = 1] \\10x + 8y = 2

So, Option B is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

7 0
3 years ago
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