Answer:
1) 36
2) My mom was trying to quiz me and she told me to pick a fraction and a number. I picked 1/12 and 3, she then told me to figure out how many 12ths there are in 3 which I found was 36.
Step-by-step explanation:
3 * 12 = 36
From the information given,
x represents number of small boxes while y represents number of large boxes.
If each small box can hold 6 books and each large box can hold 10 books, it means that the expression for the number of books that x small boxes and y large boxes can hold is
6x + 10y
If James can pack up to 110 books, it means that the number of books that he can pack is less than or equal to 110. The inequality representing this scenario is
6x + 10y ≤ 110
10y ≤ - 6x + 110
Dividing both sides of the equation by 10, we have
y ≤ - 6x/10 + 110/10
y ≤ - 3x/5 + 11
The graph is shown below
The inequality that represents this sitaution is 6x + 10y ≤ 110
The graph of the inequality wil have solid boundary at y = - 3x/5 + 11
and will be shaded below the line.
The percent of runners between these two times is 47.72.
We find the z-scores associated with each end of this interval using the formula
z=(X-μ)/σ
For the lower end,
z=(4.11-4.41)/0.15 = -0.3/0.15 = -2
Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.0228.
For the upper end:
z=(4.41-4.41)/0.15 = 0/0.15 = 0
Using a z-table we see that the area to the left of, less than, this score is 0.5000.
We want the area between these times, so we subtract:
0.5000-0.0228 = 0.4772
This corresponds with 47.72%.
Answer:
(b)26
Step-by-step explanation:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
