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denis23 [38]
4 years ago
13

You write each of the 26 letters of the alphabet on separate index cards. If you choose 3 cards at random without replacing them

, what is the probability of choosing A, B, and C?
Mathematics
1 answer:
natali 33 [55]4 years ago
8 0

Answer:

1/15600

Step-by-step explanation:

This is a great example of what people call the Multiplication Principle.

First, find out how many ways the cards can be chosen.  You're picking 3 cards from a set of 26 without replacement.  The number of choices for the first card is 26, for the second card 25, for the third card 24.  The cards can be chosen in 26 x 25 x 24 = 15600 ways.

Now for the specific choice "A B C" the number of ways that can happen is

1 x 1 x 1  (one choice for the first card, 1 for the 2nd, 1 for the 3rd)

The probability is 1/15600

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A

Step-by-step explanation:

1/2f

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If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true
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Which of the following formulas would find the surface area of a right cylinder
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Answer:

A and B

Step-by-step explanation:

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3 years ago
The sum of w and 5 into algebraic expression
Alina [70]

Answer: w + 5

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4 years ago
50 Points!
Advocard [28]
Well, 50 points total given, 25 points per user  and 13 bonus for brainliest

anyway


1.
add them equations, the y's will cancel
x+2y=4
<span>3x-2y=4 +</span>
4x+0y=8

4x=8
divide by 4 both sides
x=2
sub back
x+2y=4
2+2y=4
minus 2
2y=2
divide 2
y=1
x=2
y=1
(x,y)
(2,1) is solution


2.
the solution is where they intersect
multiply 2nd equation by 2 and add to first
4x-14y=6
<span>-4x+14y=-6 +</span>
0x+0y=0
0=0
infinite solutions

that is because they are actually the same line
the solutions are (x,y) such that they satisfy -2x+7y=-3 or 4x-14y=6 (same equaiton)
infinite solutions



3.
multiply first equation by 2 and add to first
4x+2y=-6
<span>1x-2y=-4 +</span>
5x+0y=-10

5x=-10
divide by 5 both sides
x=-2
sub bac
x-2y=-4
-2-2y=-4
add 2
-2y=-2
divide by -2
y=1

x=-2
y=1
(x,y)
(-2,1)


4.
coincident means they are the same line
so

we see that we have to multiply 4 by 2 to get 8
multiply top equation by 2
8x+10y=16
8x+By=C
B=10 and C=16


5.
a. false, either 0, 1, or infinity solutions
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
 'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'


EC
total cost=150
TC=childC+adultC
TC=3c+5a
150=3c+5a


40 tickets, c+a
40=c+a

the equations are
150=3c+5a and
40=c+a

eliminate
multiply 2nd equaton by -3 and ad to first one

150=3c+5a
<span>-120=-3c-3a +</span>
30=0c+2a

30=2a
divide by 2
15=a

sub back
40=c+a
40=c+15
minus 15
25=c

25 children tickets and 15 adult tickets were sold


ANSWERS:

1.
(2,1) is solution

2.
infinite solutions

3.
(-2,1)

4.
B=10 and C=16

5.
a. false,
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
 'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
the equations are
150=3c+5a and
40=c+a
25 children tickets and 15 adult tickets were sold
7 0
4 years ago
Read 2 more answers
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