Answer:
a) 60
b) 0.24
c) 150
Step-by-step explanation:
a) P(green) = ⅕
Expected no. = 300 × ⅕
= 60
b) total = 300
P(purple) = 72/300
= 6/25 = 0.24
c) P(blue) = 45/300
= 3/20 = 0.15
Expected no.: 1000 × 0.15
= 150
Answer:
20
Step-by-step explanation:
For the sake of the problem, let's make female workers "x" and male workers "y".
x+y<40 This equation shows that the total number of workers has a max of 40.
30x+20y<1,000 This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.
Now you can solve for x and y.
X+y<40
-y -y
X<-y+40
Substitute -y+40 in for X in the second equation
30(-y+40)+20y<1,000
-30y+1200+20y<1,000 Distribute
-10y+1,200<1,000 Combine like terms
-10y<-200 Subtract 1,200
y>20 Divide by -10; flip the sign
Since y>20, and y=male workers, you now know that the minimum
number of male workers he should send is 20
Answer:
Step-by-step explanation:
Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars.

Profit function = Revenue - cost
So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.
Profit function of x
= 
Answer:
identical in form or shape
Step-by-step explanation:
two triangles could be congruent as they both have 3 sides.