1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Butoxors [25]
3 years ago
7

a jar contains ten black buttons and six brown buttons. If nine buttons are picked at random, what is the probability that exact

ly five of them are black?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

33.04% probability that exactly five of them are black

Step-by-step explanation:

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

The order in which the buttons are chosen is not important. So we use the combinations formula 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)!}

Desired outcomes:

Five black buttons, from a set of 10

Four brown buttons, from a set of 6.

D = C_{10,5}*C_{6,4} = \frac{10!}{5!(10-5)!}*\frac{6!}{4!(6-4)!} = 3780

Total outcomes:

Nine buttons, from a set of 16.

T = C_{16,9} = \frac{16!}{9!(16-9)!} = 11440

Probability:

p = \frac{D}{T} = \frac{3780}{11440} = 0.3304

33.04% probability that exactly five of them are black

You might be interested in
Please help solve the question in the image
____ [38]

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

7 0
3 years ago
Which statements are true? *<br> 1:2 = 50:100<br> 2:1 = 50:100<br> 1:2 = 2:1<br> 3:4 = 9:12
Bumek [7]
1:2 = 2:1 is the statement
6 0
3 years ago
if a school library has 86 fiction books and 74 nonfiction books, what is the percentage of nonfiction books?
hodyreva [135]

Answer:

46.25%

Step-by-step explanation:

First, add both numbers together. (86 + 74).

Next, we have 160. And that is 100%.

Now, we have to find what 74 is compared to 160.

74 is 46.25% of 160.

There's our answer.

3 0
3 years ago
Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one
Pie
Let's begin ! ^_^

You have got informations in your problem that you just have to translate in a "mathematic language".

Company A :
"$40 membership fee and $2 per video stream."

Thanks to that, you can guess :
c = 40 + 2s

Now let's do the same thing to the company B.

Company B :
"charges a one-time $20 membership fee and $4 per video stream."

Therefore, c = 20 + 4s.

I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :

{c=40+2s ( Option B)
c=20+4s.

Second step : For how many video streams will the cost be the same for both companies?

We just have to solve the system :) And there is only one variable, the letter "s".

We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :

=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
=> s = 10

Verification :

Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.

Company B :

=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60

As you have seen, the costs are the same for both companies.

We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.

In short, the answer would be : 10.

Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.

Hope this helps !

Photon
7 0
3 years ago
Find the value of this expression if x = 4 and y= -2<br> xy / 5
zysi [14]

Step-by-step explanation:

-2×4/5

-8/5

= -1.6

That's the answer

4 0
2 years ago
Read 2 more answers
Other questions:
  • PLZZZ HELP!!<br><br> Will give brainliest.
    5·1 answer
  • John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After usin
    10·2 answers
  • Where is tge vertex of the graph of y=-x^2
    8·1 answer
  • Write an inequality for the situation.
    5·2 answers
  • Max bought tools costing $75. He made a $30 down payment and plans to pay off The rest of the money and five monthly installs ho
    9·1 answer
  • ANSWER ASAP |What is the measure of angle x?
    8·1 answer
  • Sally had 1/2 of a candy bar. She gave half of what she had to Frank. Frank gave half of HIS piece to Peter. How much of a candy
    8·1 answer
  • Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i
    6·1 answer
  • Which of the following is a property of all rhombi? O A. They have 4 right angles. B. The diagonals are congruent. O C. All 4 si
    13·2 answers
  • HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!