$\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}$

7 0

3 years ago

Last Wednesday, Bradley had $15. Over the

Alecsey [184]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Four years ago, you started a job with an annual salary of $40,000. At the end of each year on the job, you received a raise of

gogolik [260]

No it does not represent a linear function.

5 0

3 years ago

Read 2 more answers

A company that makes cartons finds that the probability of producing a carton with a puncture is 0.04, the probability that a ca

Over [174]

Answer:

a) C. No, a carton can have a puncture and a smashed corner.

b) The probability that a carton has a puncture or a smashed corner is P(X ∪ Y) = 0.104.

Step-by-step explanation:

To be mutually exclusive, the probability of the two events happening at the same time should be 0. But the probability that a carton has a puncture and has a smashed corner is 0.004 and not 0.

Then, we can conclude the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" are not mutually exclusive.

The answer is "C. No, a carton can have a puncture and a smashed corner."

We can calculate the probability that the carton has a puncture <em>or </em>has a smashed comer simply by adding the probability of each event:

$P(X\cup Y)=P(X)+P(Y)=0.1+0.04=0.104$

P(X ∪ Y): probability that a carton has a puncture or a smashed corner.

5 0

4 years ago