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valentina_108 [34]
3 years ago
15

Find the x and y of x-3y=15 and -2x-4y=10

Mathematics
1 answer:
Minchanka [31]3 years ago
3 0

Use elimination to create a one variable equation.

 x-3y=15 -> 2x-6y=30

   2x-6y=30

+(-2x-4y=10)

------------------

-10y=40

Then solve (for y in this case).

y=-4

Now we can use the value for y to solve for x.

x-3y=15 -> x-3(-4)=15 -> x=3

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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
Please answer 3-6 and show work
GuDViN [60]

Answer:

3. 10 - 5 is 5. so that is the difference. difference means subtraction.

4. 108 - 30 = 78. so she can move 78 degrees miore after therapy because 108 minues 30 is 78

5. 99 because 180 - 81 = 99. there is always 180 degrees in a line angle.

6. 130 degrees. 25 + 25 = 50 so 180 minus 50 equals 130

Step-by-step explanation:


8 0
3 years ago
What is the solution to the equation?<br> 1/8 = m/32
inna [77]

Answer:

m=4

Step-by-step explanation:

1/8=m/32

cross product

8*m=1*32

8m=32

m=32/8

m=4

8 0
3 years ago
I have a geometry pre course test I need help
harkovskaia [24]

Answer:

What do you need help with, comment

6 0
3 years ago
Help with this question please!
Anton [14]

∠1 and ∠2 are alternate exterior angles where transversal BE crosses parallel lines AC and DF, therefore they are equal. ∠2 and ∠3 are opposite angles of a parallelogram, therefore they are equal.

... ∠1 = ∠2

... 3x -5 = 2x +15 . . . . substitute the given values

... x = 20 . . . . . . . . . . . add 5-2x

The measures of angles 1, 2, and 3 are 2·20+15 = 55 . . . degrees.

5 0
3 years ago
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