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Llana [10]
3 years ago
9

Two diffrent groups of three integers with the product of -12

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0
2 1 -6
4 3 -1
Should be good
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Rufina [12.5K]

the answer is c. 40.5

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2 years ago
In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability th
MrRa [10]

Answer:

a) 0.984

b) 20 people

Step-by-step explanation:

a)

If The probability that a person carries the gene is 0.1, then in a sample of 20 people, 2 should carry the gene.

Now, we want to know how many samples there are with this property.

Since we have 20 elements where 18 are alike (do not carry the gene) and 2 are alike (carry the gene), we have to compute the number of permutations of 20 elements in which 18 are alike and 2 are alike. This number is

\frac{20!}{18!2!}=190

In this 190 20-tuples there are only 3 where the 2 carriers of the gene are in the first 3 places, namely

(1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

where 1=carries the gene, 0=does not carry the gene.

So there are 190-3 = 187 elements in which the first 3 elements have no 2 carriers, hence the probability that 4 or more people will have to be tested until 2 of them with the gene are detected is 187/190 = 0.984 (98.4%) rounded to three decimal places.

b)

Given that the probability that a person carries the gene is 0.1, then in a sample of 20 people, 20*0.1 = 2 should carry the gene.

4 0
3 years ago
Mrs.King has a marbles.The first bag contains 6 red marbles, 5 blue marbles, and4 green marbles. Mrs.King will select 1 marble a
Crank

Answer:2/3

Step-by-step explanation:

3 0
2 years ago
-2/3X + 4/3 = -10/3 <br><br>solve each equation by first eliminating all fractions ​
bagirrra123 [75]

The solution of -2/3X + 4/3 = -10/3 by first eliminating all fractions is 7.0006

<u>Solution:</u>

We have been given an equation as follows:

-\frac{2}{3 x}+\frac{4}{3}=-\frac{10}{3}

And we have been asked to solve each equation by first eliminating all fractions.

The only way to solve this equation is by converting each of its components into decimals since it is stated in the question that we should not solve it in fraction form.

To do so we will individually convert the fractions to decimals and then substitute them back into the equation.

The 1st fraction in decimal form is:

-\frac{2}{3}=-0.6666

The 2nd fraction in decimal form is:

\frac{4}{3}=1.3333

And the 3rd fraction in decimal form is:

-\frac{10}{3}=-3.3333

So, now we substitute the decimals instead of the fractions in the given equation as follows:

\begin{array}{l}{-0.6666 x+1.3333=-3.3333} \\\\ {-0.6666 x=-3.3333-1.3333} \\\\ {x=-\frac{4.6666}{-0.6666}} \\\\ {x=7.0006}\end{array}

Therefore, the value of x in decimal from is 7.0006

3 0
3 years ago
Consider the figure below. Write the equation of the line of reflection. <br>_____ = ______<br>​
PolarNik [594]

Answer:

y = 0

Step-by-step explanation:

7 0
2 years ago
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