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NNADVOKAT [17]
3 years ago
10

Help me with this problem like the whole thing

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0
Has to multiply I think try that !
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In a​ lottery, 6 numbers are randomly sampled without replacement from the integers 1 to 50. Their order of selection is not i
nlexa [21]

Answer: 0.444225

Step-by-step explanation:

Given : The total number of tickets = 50

Number of tickets are randomly sampled without replacement  =6

Since the order of selection is not important , so we use combinations.

Total number of ways to select 6 tickets = ^{50}C_6

The number of winning tickets = 6

So, number of tickets that are not winning = 50-6=44

Number of ways of selecting zero winning numbers= ^{44}C_{6}

Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be \dfrac{^{44}C_{6}}{^{50}C_6}

=\dfrac{\dfrac{44!}{6!(44-6)!}}{\dfrac{50!}{6!(50-6)!}}\\\\\\=\dfrac{\dfrac{44\times43\times42\times41\times40\times39\times38!}{38!}}{\dfrac{50\times49\times48\times47\times46\times45\times44!}{44!}}\\\\\\=\dfrac{44\times43\times42\times41\times40\times39}{50\times49\times48\times47\times46\times45}\\\\=\dfrac{252109}{567525}\approx0.444225

Hence, the required probability = 0.444225

8 0
3 years ago
Which input value produces the same output value for the two functions on the graph?
DiKsa [7]

Answer:

The input value is 3/4

Step-by-step explanation:

we know that

The input value that produces the same output value for the two linear functions, is the intersection point both graphs

we have

f(x)=-3x+1 ---> equation A

g(x)=x-2 ---> equation B

Equate equation A and equation B

x-2=-3x+1

solve for x

3x+x=1+2

4x=3

x=\frac{3}{4}

therefore

The input value is 3/4

5 0
3 years ago
The greatest common factor of two different prime numbers is 1...true always sometimes or never? Justify the answer
Nezavi [6.7K]

I believe it's true by definition. in order for  two numbers to be relatively  prime they shouldn't share any common factor.

7 0
3 years ago
Please help!! Thanks<br> Solve for a.<br> 6a–5=7+8a
IRISSAK [1]

Answer:

-6

Step-by-step explanation:

6a - 5 = 7 + 8a

6a - 8a = 7 + 5

-2a = 12

a = 12/-2

a = -6

Hope it helps:)

6 0
2 years ago
Read 2 more answers
1. A cube has a volume of 125 cubic inches. What is the length<br> of each edge?
Anettt [7]

Answer:

5 inches

Step-by-step explanation:

Since the length of the sides of a cube are all equal,

volume of cube

= side ×side ×side

= (side)³

125= (length of side)³

Cube root both sides:

Length of each edge

=  \sqrt[3]{125}

= 5 inches

4 0
3 years ago
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