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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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Solve.
lions [1.4K]

Answer:

b=9,a=12

Step-by-step explanation:

I solved by substitution:

b = 3/4a  ---> plug this into the other equation

a + b = 21   is now    a + 3/4a = 21

Reduce: 7/4a = 21

a = 12

Now solve for b:

b=3/4a is now b=3/4(12)

b=9

6 0
3 years ago
Read 2 more answers
5. Earl runs 75 meters in 30 seconds. How many meters does Earl<br> run per second?
Rudik [331]

Answer:

He runs 2.5 meters per second

Step-by-step explanation:

all you do is divide 75/30 and the answer is 2.5.

8 0
3 years ago
Two sides of a triangle measure 7 meters and 9 meters. Which of the following measures could represent the perimeter of the tria
boyakko [2]
Perimeter is sum of all the sides ,

so, perimeter will be 7 + 9 + x = 16 + x

it will be more than 16 for sure
8 0
3 years ago
Pls help i’ll mark brainly llllllll<br> !!!!!!!!!!!!b
PtichkaEL [24]

Answer:

10 square units

Step-by-step explanation:

you have 4 complete squares

2 halves, which makes 1 square

and 10 other oddly divided squares which would complete one another perfectly if you put them together 2 by 2.

5 0
3 years ago
11. Given Triangle GHI with G(7, 0), H (-5, 5) and I (1, 9), find the slope of a line perpendicular to HI.
elena-14-01-66 [18.8K]
First, you need to find the slope of HI.

Find two points. (On the line)

(-5,5) (1,9) I’m just going to use the points for H and I.

Plug it into the slope formula.

M= (y2-y1)/(x2-x1)

M= (9-5)/(1-(-5) Switch the sign to be positive, two negatives equal a positive.

M= 4/6

Now, you just need to find the opposite reciprocal for the slope of the perpendicular line.

Flip 4 and 6. Make it negative.

-6/4

Simplify.

-3/2 or -1.5

I hope this helps!
~kaikers
5 0
3 years ago
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