Answer:
Base area of box = 
Step-by-step explanation:


Base area of a rectangular box is a rectangle
Area of a rectangle (base area)= length times width


Base area = 
Multiply x inside the parenthesis
Base area of box = 
Ratio of girls to boys = 5/3
Number of girls in 40 students would be 3/5 * 40 = 24
Answer:
0.03333
Step-by-step explanation:
Given that there are three machines. All of the machines can produce 1000 pins at a time.
Chance for any machine is thus equaly likely = 1/3
The rate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%.
Machine I II III total
Faulty 0.10 0.20 0.05
Prob 0.3333 0.3333 0.3334 1
Faulty*prob 0.03333 0.06666 0.16665 0.26664
Thus probability that a produced pin will be faulty and it will be from the firstmachine
= 0.03333
Answer:
y = 5x - 7
Step-by-step explanation:
Using the equation of a line with two points
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
Giving two points
( -4 , 10)(16 , -2)
x_1 = -4
y_1 = 10
x_2 = 16
y_2 = -2
Using the above formula
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
-12 - 3 / -1 - 2 = y - 3 / x - 2
-15/-3 = y - 3 /x - 2
Cross multiply
-15(x - 2) = -3(y - 3)
-15x + 30 = -3y + 9
-15x + 30 + 3y - 9 = 0
-15x +30 - 9 + 3y = 0
-15x + 21 + 3y = 0
3y = 15x - 21 ( following y = mx + C
Dividing through by 3 to find y
3y/3 = 15x -21 / 3
y = 15x - 21 / 3
We can still separate
y = 15x / 3 - 21/3
y = 5x - 7
Therefore, the equation of the line is
y = 5x - 7