The answer to this would be 5x+6>=21. Just wanted points :P
These two lines are congruent (the same) so we can set them equal to each other and solve.
5x-4=3x+6
The first thing we need to do is subtract 3x from both sides leaving us with 2x-4=6
Now we can add 4 to both sides leaving us with 2x=2
Now we need to divide both sides by 2 to get x alone.
Giving us our final answer of x=1
27/20
= 20/20 + 7/20
= 1 + 7/20
= 1.00 + 0.35
= 1.35
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List of values to remember (extras):
0.05 = 1/20 = 5%
0.10 = 1/10 = 10%
0.15 = 3/20 = 15%
0.20 = 1/5 = 20%
0.25 = 1/4 = 25%
0.30 = 3/10 = 30%
0.35 = 7/20 = 35%
0.40 = 2/5 = 40%
0.45 = 9/20 = 45%
0.50 = 1/2 = 50%
0.55 = 11/20 = 55%
0.60 = 3/5 = 60%
0.65 = 13/20 = 65%
0.70 = 7/10 = 70%
0.75 = 3/4 = 75%
0.80 = 4/5 = 80%
0.85 = 17/20 = 85%
0.90 = 9/10 = 90%
0.95 = 19/20 = 95%
1.00 = 1 = 100%
Answer:
(a) 
(b) 
Step-by-step explanation:
Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).
So
Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.
(a)
Therefore, to answer question (a) we use the following equation presented in the attached image:
Where:
Then:
(b)
For part (b) we have:
Answer:
The simplified product, in standard form, has exactly 2 negative terms. The simplified product has 2 terms.
Step-by-step explanation:
(b-2c)(-3b+c)
distribute and you will get
-3b^2+bc+6bc-2c^2
combine like terms
-3b^2+7bc-2c^2
