Well, there are actually millions of colors in the rainbow, (every color that the human eye can see), but I do understand the question you're asking:
-- When Sara is ready to make her first selection, there are seven things with different colors in the pot, and one of them is red.
The probability that she picks the red one is ( 1 / 7 ).
The question says "with replacement". That means that after she selects it and looks at it, she puts it back in the pot. So . . .
-- When she's ready to make her second selection, the same seven things with different colors are still in the pot. One of them is orange.
The probability that she picks the orange one is ( 1 / 7 ).
-- The probability of BOTH selections being successful (the color she wants) is
(1/7) x (1/7) .
That's <em>(1/49)</em>, which is about <em>2.04 percent</em> .
Answer:
(24, 224 ) i.e. 24 basketball and 224 footballs
Step-by-step explanation:
<em>Basketball :</em>
uses 4 ounces of foam
20 minutes of labor
profit = $2.50
<em>Football :</em>
uses 3 ounces of foam
30 minutes of labor
profit = $2
Manufacturer has :
768 ounces of foam , 120 labor hours per week,
<u>using the simplex method to determine the optimal production schedule so as to maximize profits </u>
lets assume
x = number of basketball
y = number of footballs
maximize = 2.5 x + 2y from a linear programming problem
attached below is the detailed solution
First you have to get rid of the mixed numbers, so multiply the whole numbers with the denominators and add the numerators so that way you get:
14/3 times 45/4....then cross simplify if possible and finally you can multiply the numerators and the denominators...
7/1 times 15/2 = 105/2....simplify it and get: 52 1/2
Answer:
Graph A.
Step-by-step explanation:
Given the inequality: 
Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.
Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.