There are 21 black socks and 9 white socks. Theoretically, the probability of picking a black sock is 21/(21+9) = 21/30 = 0.70 = 70%
Assuming we select any given sock, and then put it back (or replace it with an identical copy), then we should expect about 0.70*10 = 7 black socks out of the 10 we pick from the drawer. If no replacement is made, then the expected sock count will likely be different.
The dot plot shows the data set is
{5, 5, 6, 6, 7, 7, 7, 8, 8, 8}
The middle-most value is between the first two '7's, so the median is (7+7)/2 = 14/2 = 7. This can be thought of as the average expected number of black socks to get based on this simulation. So that's why I consider it a fair number generator because it matches fairly closely with the theoretical expected number of black socks we should get. Again, this is all based on us replacing each sock after a selection is made.
Answer:
(x+5/2)^2 = 0
Step-by-step explanation:
4 x^{2} +20x +25 =0
Divide by 4
4/4 x^{2} +20/4x +25/4 =0
x^2 +5x +25/4 =0
Subtract 25/4 from each side
x^2 +5x +25/4 -25/4 =-25/4
x^2 +5x =-25/4
Take the coefficent of x
5
Divide by 2
5/2
Square it
25/4
Add it to each side
x^2 +5x +25/4 =-25/4+25/4
(x+5/2)^2 = 0
Take the square root of each side
x+5/2 = 0
x = -5/2
Answer:
8 thousand dollars
Step-by-step explanation:
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24
To find maximum profit , we need to find out the vertex
x coordinate of vertex formula is -b/2a
a=-2 and b = 16
Now we plug in 4 for x and find out P(4)
= 8
So the maximum profit the company can earn is 8 thousand dollars when price = $4
For every 1/4 metric ton it takes 1/8 hours
then multipling by 8 to make the hours =1
for every 2 metric tons it take 1 hour
so the quotient is 2 metric tons per 1 hour
