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Katena32 [7]
3 years ago
10

There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded. Dionte buys two tick

ets, find the probability that he will win both pris(Round your answers to five decimal places.)
Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Given :

There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.

Dionte buys two tickets.

To Find :

The probability that he will win both price.

Solution :

Number of prizes available, p = 2

Probability of getting price from first draw :

P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}

Probability of getting price from second draw if he won first prize :

P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}

So, probability of winning both prize :

P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159

Therefore, probability of winning both prize is 0.00159 .

Hence, this is the required solution.

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How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0
3 years ago
Is .07 closer to 1/2,0 or 1
Nikitich [7]
0, because 1/2 = 0.50. therefore .07 is more closer to 0
7 0
3 years ago
Determine the unknown angles in the diagram above. Please help!
Nana76 [90]

A

a and 143 are supplementary. So a + 143 = 180

a + 143 = 180              Subtract 143 from both sides.

a = 180 - 143

a = 37

B

b and 143 are vertically opposite angles and are equal

b = 143 degrees.

C

Interior angles on the same side of a transversal for parallel lines are supplementary

b + c = 180

143 + c = 180

c = 37

D

c + d + 85 = 180 degrees

37 + d + 85 = 180

d + 122 = 180

d = 180 - 122

d = 58

E

e = c They are vertically opposite.

e =37

F

All triangles have 180 degrees.

e + f + 90 = 180 degrees.

37 + f + 90 = 180

f  +  127 = 180

f = 180 - 127

f = 53

G

G and 48 are opposite 2 equal sides. So G and 48 are equal

G = 48

H

h + 48 + 48 = 180

h + 96 = 180

h = 84

K

K and H are supplementary

K + H = 180

k + 84 = 180

k = 95

M

m+ k + d  = 180

M + 95 +  58 = 180

M + 143 = 180

M = 37

P

the top angle is 2*m and 2m is bisected. You are using the m on the left.

P + 85 + M = 180

P + 85 + 37 = 180

P + 122 = 180

p = 180 - 122

p = 58

R

r + p are supplementary.

r + p = 180

r + 58 = 180

r = 180 - 58

r = 122

S

s + r + c + b = 360  All quadrilaterals have 360 degrees.

s + 122 + 37 + 143 = 360

s + 302= 360

s = 360 - 302

s = 58

6 0
4 years ago
Can someone answer this:
ASHA 777 [7]
4.00 ÷ 0.25 = 16
.70 ÷ 0.05 = 14

16 quarters + 14 nickels = 30 coins
3 0
4 years ago
I’ll mark brainlest
galina1969 [7]

Answer: blank number 1 would be 4, and blank number 2 would be 8. then, blank number 3 would be 3. blank number 4 would be 2,048.

Explaination:

the starting number of employees is 4, so that starts off as our base number in the first blank. we are multiplying the 4 by how many will be there in 8 years, so that's why it goes in the second blank. now, we are tripling this every year, so that goes in the 3rd blank as the exponent. multiply all that together in a calculator, and you get 2,048.

3 0
3 years ago
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