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Sati [7]
3 years ago
6

The triangle is a(n) ___ triangle

Mathematics
1 answer:
mash [69]3 years ago
4 0

Answer:

Acute

Step-by-step explanation:

two of the angles are acute and the other is right.

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There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

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

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
I really need this answer fast
Anika [276]

Answer:

x=3.5

Step-by-step explanation:

6x-1=4x+6

6x-4x=6+1

2x=7

x=3.5

8 0
3 years ago
(Who ever Answers the question for this lil guy&gt; ʕ •ᴥ•ʔ, Gets brainliest!!)
Valentin [98]

Answer:

Once upon a time i was on brainly. I was asked to make a story and solve 15 divided by 1/9 so thats what this is :D Obviously I would do better stories on topics not math related but I thought it would do. I Used 15x1/9 to solve the equation and my helpful calculator UvU Thats when I got the ugly number of 1.66666667 as my answer I was annoyed but it would have to do. I finished typing these last words and submitted Hoping that i would get brainliest and give it away UvU

Step-by-step explanation:

8 0
3 years ago
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inc
Alla [95]

Step-by-step explanation:

Given

Radius (r) = 4 inches

height (h) = 11 inches

Total surface area of cylindrical oil can is

= 2πr ( r + h)

= 2 * 22 / 7 * 4 ( 4 + 11)

= 2 * 22/7 * 4 * 15

= 377.14 inches ²

4 0
3 years ago
Read 2 more answers
Eric has $25 to purchase magazines and to pay for his lunch. Each
faust18 [17]

Answer:

B

Step-by-step explanation:

The maximum amount Eric can spend on magazines is $25 less the cost of lunch, $15.

The appropriate inequality sign would be less than since he cannot spend more than $25.

Also, the amount he can spend on magazines would be what is left after paying for lunch.

So the correct inequality is 4m - 15 < 25

8 0
3 years ago
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