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Gelneren [198K]
3 years ago
8

Let event Aequalssubject is telling the truth and event Bequalspolygraph test indicates that the subject is lying. Use your own

words to translate the notation Upper P (B|A )into a verbal statement.
Mathematics
1 answer:
wariber [46]3 years ago
5 0

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.

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Hamburger Hut sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, must
Studentka2010 [4]

Answer:

a) 40 different hamburgers can be ordered with exactly three extras

b) 20 different regular hamburgers can be ordered with exactly three extras

c) 7 different regular hamburgers can be ordered with at least five extras

Step-by-step explanation:

The order in which the extras are ordered is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem:

2 options of hamburger(regular or larger)

6 options of extras(cheese, relish, lettuce, tomato, mustard, or catsup.).

(a) How many different hamburgers can be ordered with exactly three extras?

1 hamburger type, from a set of 2.

3 extras, from a set of 6. So

C_{2,1}*C_{6,3} = \frac{2!}{1!(2-1)!}*\frac{6!}{3!(6-3)!} = 2*20 = 40

40 different hamburgers can be ordered with exactly three extras

(b) How many different regular hamburgers can be ordered with exactly three extras?

3 extras, from a set of 6. So

C_{6,3} = \frac{6!}{3!(6-3)!} = 20

20 different regular hamburgers can be ordered with exactly three extras

(c) How many different regular hamburgers can be ordered with at least five extras?

Five extras:

5 extras, from a set of 6. So

C_{6,5} = \frac{6!}{5!(6-5)!} = 6

Six extras:

6 extras, from a set of 6. So

C_{6,6} = \frac{6!}{6!(6-6)!} = 1

6 + 1 = 7

7 different regular hamburgers can be ordered with at least five extras

8 0
3 years ago
Hi i need help with this
kari74 [83]

Answer:

I think its the very last one

Step-by-step explanation:

All of the stuff could go in 1 bag. They could also go i 2 bags if you divide all of them by two. You can also put all of them in to 9 bags because 36 divided buy 9 is 4 and 72 divided by 9 is 8 and 18 divided by 9 is 2. And we can odviously do it for the rest because the same # divided by the same # gives you 1 in each bag

8 0
3 years ago
Two boys decided to buy a computer. The second boy had 5/6 of the money the first had. The first boy had 7/8 of the price of the
UNO [17]

Answer:

The price of the computer is $1,152

Step-by-step explanation:

Let the price of the computer be $x

The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8

The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48

Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696

Mathematically, this can be represented as;

7x/8 + 35x/48 = x + 696

(42x + 35x)/48 = (x + 696)

77x/48 = (x + 696)

77x = 48(x + 696)

77x = 48x + 33408

77x - 48x = 33408

29x = 33, 408

x = 33,408/29

x = $1,152

7 0
3 years ago
In a school, 2/3 of students study a language. Of those who study a language, 2/5 study French. Find the Ratio of student who st
daser333 [38]

Okay, so, you'd have to first multiply 2/3 and 2/5, which gives you 4/15.

This means that, overall, 4/15 students study French, which means that 11/15 students do not study French.

Therefore, the ratio of students that study French to students who do not study French is 4:11.

3 0
3 years ago
Read 2 more answers
Which of the following is the slope of the line below?
shtirl [24]
I think it may be the first
5 0
3 years ago
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