<span>In the question "Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?"
The probability of an event, say A given another event, say B is given by n(A and B) / n(B).
Thus the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day is given by number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day / number of persons that consume 2,000 to 2,500 calories per day.
From the table, the number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day is 10 while the number of persons that consume 2,000 to 2,500 calories per day is 110.
Therefore, the required probability is 10 / 110 = 1 / 11</span>
Answer:
45 degree angle
Step-by-step explanation:
Let's say that the line crossing the middle of quadrant four was on the y-axis, that would be known as a 90 degree angle. Since it was cut in half, that would become a 45 degree angle.
1. Let

be the number of seats in the

-th row. The number seats in the

-th row relative to the number of seats in the

-th row is given by the recursive rule

Since

, we have





So the explicit rule for the sequence

is

In the 15th row, the number of seats is

2. Let

be the amount of profit in the

-th year. If the profits increase by 6% each year, we would have





with

.
The second part of the question is somewhat vague - are we supposed to find the profits in the 20th year alone? the total profits in the first 20 years? I'll assume the first case, in which we would have a profit of

3. Now let

denote the number of pushups done in the

-th week. Since

,

, and

, it looks like we can expect the number of pushups to quadruple per week. So,

starting with

.
We can apply the same reason as in (2) to find the explicit rule for the sequence, which you'd find to be
Answer:
Step-by-step explanation:
1. x - 2 = 10
x = 10 + 2 = 12
2. 40 = 5x
40/5 = x
x = 8
3. x/2 = 8
Multiply by 2 on both sides
x = 16
4. x + 14 = 24
x = 24 - 14 = 10
5. x + 2 = 10
x = 10 - 2 = 8
6. x/8 = 1
Multiply by 8 on both sides
x = 8
No 2 5 and 6 is the correct answer