Answer: y=1/2x-1
Step-by-step explanation:
To find the equation of the line that passes through the points, we need to find out slope, m.
We plug our points into this formula to find slope.
Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.
y=mx+b
y=1/2x+b
1=1/2(4)+b
1=2+b
b=-1
Now that we know b, our equation is y=1/2x-1.
Answer:
b. 58%
Step-by-step explanation:
Calculate the area of the entire rectangle using the formula A = lw.
The lowercase "L" is for length.
"w" is for width.
The lighter square is 10 units long by 5 inches wide.
A = lw
A = (10 in)(5 in) Multiply
A = 50 in²
Calculate the area for the shaded rectangle, 7 inches by 3 inches.
A = lw
A = (7 in)(3 in) Multiply
A = 21 in²
Calculate the area for the non-shaded region by subtracting the shaded area from the total area.
50 in² - 21 in² = 29 in²
The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.
Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.
29/50 = 0.58
0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.
0.58 = 58%
Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.
