Answer:
P=0.228
Step-by-step explanation:
We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.
Therefore, we have 34 people.
We calculate the number of possible combinations:
Of the 6 professors we choose 2, and of the other 28 people we choose 4.
We calculate the number of favorable combinations:
Therefore, the probability is:
713/9
79 2/9 Decimal form: 79.222
713 divided by 9 is 79 with a quotient estimate of 2.
79 r 2
Speed, S = Distance (d) / Time (t) => S= d/t => t= d/S
Let the speed of boat in still water be x mph
Resulting speed upstream = x-4 mph for a distance of 30 miles
Resulting speed downstream = x-4 mph for a distance of 50 miles
Time taken in both distances is equal.
Therefore,
30/(x-4) = 50/(x+4) => 30(x+4) = 50(x-4) => 30x+120 = 50x-200 => 120+200 = (50-30)x => 20x = 320 => x=320/20 = 16 mph
The speed of boat in still water is 16 mph.
Answer:
x = a(c - b)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x/a + b = c
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>b</em> on both sides: x/a = c - b
- Multiply <em>a</em> on both sides: x = a(c - b)
