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zheka24 [161]
3 years ago
6

Solve the rational equation:

Mathematics
1 answer:
Lemur [1.5K]3 years ago
4 0
This is A
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4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are
Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

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:

  • 1000 people means that N = 1000
  • 130 can wiggle their ears, thus k = 130
  • Two are selected, thus n = 2.

The probability that neither can wiggle his or her ears is P(X = 0), thus:

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

P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0
2 years ago
The baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached
marusya05 [52]

Answer:

the giraffe gained 58 pounds each month.

Step-by-step explanation:

do 538-132 then do 406÷7. you will get 58.

hope this helps!

8 0
3 years ago
OMG PLEASE HELP DOG
Iteru [2.4K]

Answer:

the answer for the question is. 3

3 0
3 years ago
Write an expression that is equivalent to 4n – 12 + 8y + (-3n).
Dimas [21]
It would be 1n - 12 + 8y.
4n - 3n = 1n
12 + 8y don’t mix so we can leave it.
Therefore: 1n - 12 + 8y
7 0
3 years ago
Solve for x: 2x − 2 &gt; 4x + 6.<br> x &lt; −4<br> x &gt; −4<br> x &lt; 4<br> x &gt; 4
igomit [66]

Answer:

The answer is the first choice, x < −4.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x−2>4x+6

Step 1: Subtract 4x from both sides.

2x−2−4x>4x+6−4x

−2x−2>6

Step 2: Add 2 to both sides.

−2x−2+2>6+2

−2x>8

Step 3: Divide both sides by -2.

x<−4

3 0
3 years ago
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