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kap26 [50]
3 years ago
6

g In a certain​ lottery, an urn contains balls numbered 1 to 39 . From this​ urn, 5 balls are chosen​ randomly, without replacem

ent. For a​ $1 bet, a player chooses one set of five numbers. To​ win, all five numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one​ ticket?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

Answer:

0.00017% probability of winning this lottery with one​ ticket

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the balls are sorted is not important. So the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

What is the probability of winning this lottery with one​ ticket?

Desired outcomes:

One set, so D = 1

Total outcomes:

Five numbers, from a set of 39. So

T = C_{39,5} = \frac{39!}{5!(39-5)!} = 575757

Probability:

p = \frac{D}{T} = \frac{1}{575757} = 0.0000017

0.00017% probability of winning this lottery with one​ ticket

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Supplementary angles are those whose measurements add up to 90 degrees <br> True or False
erma4kov [3.2K]

Answer: No

Step-by-step explanation:

Complementary means angles add up to 90 degrees.

Supplementary means angles add up to 180 degrees.

Since Supplementary doesn't add up to 180 degrees, the answer is false.

8 0
2 years ago
Read 2 more answers
Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob
Blababa [14]

<u>Question</u>:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

<u>Answer</u>:

Robin’s basket is heavier than Ted’s basket  by  2.75 ounces

<u>Step-by-step explanation:</u>

<u>Given</u>:

Ted’s basket contains  = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains  = 6 apples

Weight of each apple in Robin’s basket =  6 1/2 ounces

<u>To Find:</u>

Whose basket is heavier and by how much?

<u>Solution:</u>

<u>Step 1: Finding the weight of Ted’s basket </u>

Weight of Ted’s basket  = Number of apple in the basket X  Weight of each apple

Weight of Ted’s basket  = 5 \times 7\frac{1}{4}

Weight of Ted’s basket  = 5 \times \frac{29}{4}

Weight of Ted’s basket  = \frac{145}{4}

Weight of Ted’s basket  =  36.25 --------------------------------(1)

<u>Step 2: Finding the weight of Robin’s basket </u>

Weight of Robin’s basket  = Number of apple in the basket X  Weight of each apple

Weight of Robin’s basket  = 6 \times 6\frac{1}{2}

Weight of Robin’s basket  = 6 \times \frac{13}{2}

Weight of Robin’s basket  = \frac{78}{2}

Weight of Robin’s basket  = 39 ounces--------------------------(2)

<u>Comparing equation (1) and (2)</u>

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket  >  Weight of Ted’s basket

5 0
3 years ago
Solve for x.<br><br> A) 0.9<br> B) 160<br> C) 10<br> D) 1.1
creativ13 [48]

Answer:

C .10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
a bicycle tire is 28 inches in diameter. approximately how far does the bicycle move forward each time the wheel goes around? (u
belka [17]

ANSWER

88 \: inches

EXPLANATION

The given bicycle has a tyre that is 28 inches in diameter.

How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.

This is calculated using the formula:

C =\pi \: d

We substitute the diameter and

\pi =  \frac{22}{7}

C =  \frac{22}{7}  \times 28

This simplifies to

C =22 \times 4

88 \: inches

8 0
3 years ago
Read 2 more answers
What is the exact value that is 48% of 1165
Vera_Pavlovna [14]

We know that the percentage amount of any number can be found by first converting the the given percentage to a fraction and then multiplying it by the given number. Thus, in our case, the exact value, that is 48% of 1165 can be calculated as follows:

We know that 48\%=\frac{48}{100}=0.48

Therefore, 48% of 1165 can be re-written as: 0.48\times 1165

This can be calculated as [tex]0.48\times 1165=559.2[/tex

Therefore The exact value that is 48% of 1165 is 559.2


5 0
3 years ago
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