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Andrew [12]
3 years ago
9

Solve x2 + 14x = −24 by completing the square. What is the solution set of the equation?

Mathematics
2 answers:
harina [27]3 years ago
6 0

Answer:

A on edgen.

Step-by-step explanation:

yan [13]3 years ago
3 0
Hope this helps with the question :)

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15+21 the distributive property to factor out the greatest common factor.
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g A population is infected with a certain infectious disease. It is known that 95% of the population has not contracted the dise
trasher [3.6K]

Answer:

There is approximately 17% chance of a person not having a disease if he or she has tested positive.

Step-by-step explanation:

Denote the events as follows:

<em>D</em> = a person has contracted the disease.

+ = a person tests positive

- = a person tests negative

The information provided is:

P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01

Compute the missing probabilities as follows:

P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99

The Bayes' theorem states that the conditional probability of an event, say <em>A</em> provided that another event <em>B</em> has already occurred is:

P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:

P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}

              =\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667

So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.

As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.

7 0
3 years ago
When you have two or more numbers, written in scientific notation, with the same exponent, how do you know which
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Yes you know me and 3x the key.
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Select ALL the true statements: <br> (See the screenshot please :) )
beks73 [17]

Answer:

B. Dilations of an angle are congruent to the original angle.

E. Dilations of a triangle can be similare to the original triangle.

Step-by-step explanation:

These both look like the only correct ones.

Hope it helps!

6 0
2 years ago
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