Can someone my answers

Mathematics

1 answer:

erik [133]3 years ago

6 0

Answer:

Option 2 is correct that is $\frac{x+2}{x+9}$ and $x\neq-9$ and $x\neq-12$

Step-by-step explanation:

We have been given with the expression $\frac{x^2-10x-24}{x^2-3x-108}$

We will simplify the given expression by factorisation we will get $\frac{x^2-12x+2x-24}{x^2-12x+9x-108}$

Taking x as common from first two terms in numerator and 2 from last two terms in numerator

Similarly, take x common from first two terms and 9 from last two terms in denominator we will get

$\frac{x(x-12)+2(x-12)}{x(x-12)+9(x-12)}$

After arranging the terms we will get $\frac{(x+2)(x-12)}{(x+9)(x-12)}$

Taking out the common factor which is (x-12) from numerator and denominator it will get cancelled we will get

$\frac{(x+2)}{(x+9)}$

Hence, Option 2 is correct that is $\frac{x+2}{x+9}$ and $x\neq-9$ and $x\neq-12$

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a certain virus infects one in every 600 people. a test used to detect the virus in a person is positive 90% of the time if the

Alona [7]

the probability that a person has the virus given that they have tested positive is 0.0151.
the probability that a person does not have the virus given that they have tested negative is 0.9999

P(A) = 1/600 = 0.0017

P(B) = 0.9 * 0.0017 + 0.1 * (1 - 0.0017) = 0.1014

A) P (has the virus | tested positive) = P (tested positive | has the virus) ×

P (has the virus)/ P (tested positive)

= 0.9 × 0.0017/0.1014

= 0.0151

B) P (does not have the virus | tested negative) = P (tested negative | does not have the virus) × P (does not have the virus)/ P (tested negative)

= (1 - 0.1) *× (1 - 0.0017)/ (1 - 0.1014)

= 0.9999

Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.

A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).

To learn more about Probability visit here:

brainly.com/question/11234923

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6 0

1 year ago

HELP if you’re smart answer all 9 questions its easy NO LINKS!!! pls be correct

Nesterboy [21]

Step-by-step explanation:

if it's easy why don't you do it. not trying to be rude are whatever

8 0

3 years ago

Select expression that is mathematically equivalent to xy−z+ (a - b) X c. y - 2 O