Answer:
Step-by-step explanation:
Given
Let
Undergraduates
Graduates
So, we have:
-- Total students
--- students to select
Required
From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.
First, we calculate the total possible selection (using combination)
So, we have:
Using a calculator, we have:
The number of ways of selecting 2 from 3 undergraduates is:
The number of ways of selecting 2 from 5 graduates is:
So, the probability is:
2х3+10х+2у2-х-у=2х3+9х+2у2-у=2*3in3+9*3+2*5in2-5=2*27+27+2*25-5=54+27+50-5=126
Answer:
1. C = $100 = .25(m)
2. C = $150
3. 800 = m
Step-by-step explanation:
1. C = $100 (flat fee rate) + .25m
2. c = $100 + .25(200 miles)
↓
c = $100 + 50
↓
c = 150
3. 300 = 100 + .25(m)
-100 -100 (subtract on both sides)
--------------------------------
200 = .25(m)
------------------- (divide by .25 to get m by itself)
.25
Therefore being 800 = m
Answer:
2.
30-7x4 = 2
3.
80
Step-by-step explanation:
2.
First, do 7x4, which equals 28. Then subtract that from 30, and you get 2.
3.
Do the parentheses first, 21-6=15. Then 15 divided by 0.2 = 75. 75+5=80.
Sorry I couldn't help on any of the other ones, I don't have much time.
9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
_____
<em>Additional comment</em>
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
__
For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.