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dalvyx [7]
3 years ago
14

A card is drawn from a standard deck of 52 cards and replaced. then a second card is drawn. find the probability of the first ca

rd being the 2 of hearts and the second card being the 3 of clubs
Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer:

Step-by-step explanation:

Two things to note;

1. Since there's only one 2 or hearts and one 3 of clubs

2. The first card is replaced after it's drawn

Probability of 2 of hearts = 1/52

Probability of 3 of clubs = 1/52

They both have the same probability of being drawn.

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A book has 500 pages numbered 1,2,3 and so on. How many times does the digit 1 appear in the page numbers?
elena-14-01-66 [18.8K]

Answer:

200

Step-by-step explanation:

This book has 500 pages in total.

We should split up the place values.

1 - 9

One only appears once.

1

10 - 19

One appears 11 times.

1 + 11

20 - 99

One only appears 8 times.

1 + 11 + 8

Add:

1 + 11 + 8

=> 20

Since the same is for  200-299, and so on. Let us add twenty four times.

20 * 4

=> 80

Looking back to 100-199, there are 120 ones.

Add:

120 + 80

=> 200

4 0
3 years ago
Write y=5/8x +6 in standard form using intergers
Art [367]

Answer:

5x - 8y = -48

Step-by-step explanation:

Move 5/8x to the y side to get (-5/8)x + y = 6. Multiply both sides by -8 to get 5x - 8y = -48.

8 0
3 years ago
Give the domain and range.
alexgriva [62]

Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

Given:

There are three points on the graph.

Locate the x and y values of the points on the graph.

The points are (-2,-1),(0,1),\textrm{ and }(2,3)

Domain is the set of all possible x values. Here, the x values are -2, 0 and 2.

So, domain is: {-2, 0, 2}.

Range is set of all possible y values. Here, the y values are -1, 1 and 3.

So, range is: {-1, 1, 3}

7 0
3 years ago
Complete the square to transform the expression x2 + 4x + 2 into the form a(x − h)2 + k.
Nina [5.8K]

Answer:

Step-by-step explanation:

y = (x^2 + 4x)      + 2

Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

Put it after 4x

y = (x^2 + 4x + 4)   +2  Subtract what you put inside the brackets on the outside.

y = (x^2 + 4x + 4) + 2 - 4      Combine the right.

y = (x^2 + 4x + 4) - 2            Express the brackets as a square.

y = (x + 2)^2 - 2

That's your answer

a = 1

h = 2

k = -2

3 0
3 years ago
Multiply using the distributive property 12(5y+4).
iragen [17]

Answer:

12(5y+4)

12(9y)

108y

hope it helps and I hope I did it right

Step-by-step explanation:

5 0
3 years ago
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