Answer:
C
Step-by-step explanation:
Answer:
P( B | A) will actually be the probability of the polygraph test being wrong.
Step-by-step explanation:
The event A represents the event that the subject is telling the truth.
The event B represents the event when he fails the polygraph test, which is indicative of the fact that he is lying.
The notation P( B | A) describes the probability that the subject fails the polygraph test given that he is actually telling the truth.
So in retrospect P( B | A) will actually be the probability of the polygraph test being wrong.
Answer:
2 minutes
Step-by-step explanation:
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
Answer:
2.
3.
Step-by-step explanation:
<em>In general we can write a polynomial in standard form as </em>
<em>Given</em> 
<em>Combine the like terms: 4m and -4m</em>
<em>4m-4m=0</em>
<em>We have 4m-4m=0</em>
<em>So, write the remaining terms</em>
= 
<em>This is in decreasing order of powers.</em>
<em>Hence the answer is the standard form is</em>
<em>But in the given options, you can choose option 2 and option 3 are in standard form.</em>
<em>Because they are in decreasing order of powers.</em>
<em>In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.</em>
<em>-2m^4-6m^2+4m+9</em>
<em>-2m^4-6m^2-4m+9</em>
<em>I hope this helps you.</em>
<em>And please comment if I need to do corrections.</em>
<em>Please let me know if you have any questions.</em>
