Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.
the condition says that x-y = 1 or x-y = -1.
so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.
let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the 2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.
the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.
Answer:
$18.48
Step-by-step explanation:
To find a percentage you just multiply the amount x the percentage in decimal form.
17 x 0.087 = 1.479 tax
Then you add that number too the original total.
17+1.479 = 18.479
Then you round to the nearest cent.
18.48
Total:
$18.48
+ √6 = √9
The first step is to get by itself. We can do this by subtracting from each side, and simplifying
= 3 -
Now we square both sides
5x = (3 - )²
Using the formula (a - b)² = a² -2ab + b², (3 - )² = 15 - 6
5x = 15 - 6
x =
Answer:
The correct option is 4.
Step-by-step explanation:
Given information:
Bring lunch : 46 males, 254 females
Buy lunch : 176 males, 264 females
Total number of peoples is
Total number of males is
The probability of male is
Since probability of males is 0.3, therefore options A and C are incorrect.
Total number of persons who buys lunch is
The probability of persons who buys lunch is
We need to find the probability of P(male | buys lunch).
According to the conditional probability, we get
P(male | buys lunch)
P(male | buys lunch)
P(male | buys lunch)
Therefore the correct option is 4.
Answer:
Step-by-step explanation:
The Law of Sines is
Filling in what we are given:
Cross multiply to get
and divide to solve for side c:
which gives you that
c = 8.45
We know that angle B has to be the difference between 180 and angle A and angle C, so
angle B = 51
Now we can solve for side b:
and
and
b = 21.03