An academic department with five faculty members narrowed its choice for department head to either candidate a or candidate

1 answer:

7 0

The probability that the first two votes drawn are both for candidate a is given by:
3C2/5C2 = 3/10
Having drawn two votes for candidate a on the first two draws, there are 2 votes for candidate b and one vote for candidate a remaining. The probability that a vote for candidate b will be drawn on the third draw is:
2/3.
After the first three draws, there reains one vote for candidate a and one vote for candidate b. The probability that a vote for candidate a will be drawn on the fourth draw is:
1/2.
The probability of the ordering aabab is therefore given by:
$\frac{3}{10}\times\frac{2}{3}\times\frac{1}{2}=\frac{6}{60}$
The answer is: 0.1.

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And one US city the taxi cost is five dollars plus $.60 per mile if you are traveling from the airport there is an additional ch

GenaCL600 [577]

Let the number of miles be x.

Then, x miles cost 0.6x.

The initial fixed fee is $5, and the toll is $5.

cost = initial fixed fee + cost per mile + toll

46 = 5 + 0.6x + 5

0.6x + 10 = 46

0.6x = 36

x = 36/0.6

x = 60

You can travel 60 miles.

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3 years ago

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A, b and c are the sides of a right triangle, where side a is across from angle a, side b is across from angle b, and side c is

Vera_Pavlovna [14]

<span>Find missing length :
</span>
a² + b² = c²
c² = 19² + 34²
c² = 1517
c = √1517
c = 38.95 units.

Find missing angle A:

$\dfrac{a}{\sin(a)} = \dfrac{c}{\sin(c)}$

$\dfrac{19}{\sin(a)} = \dfrac{38.95}{\sin(90)}$

$\sin(a) = 0.488$

$a = sin^{-1} (0.488)$

$a = 29.2 \textdegree$

Find Missing B:

$\dfrac{b}{\sin(b)} = \dfrac{c}{\sin(c)}$

$\dfrac{34}{\sin(b)} = \dfrac{38.95}{\sin(90)}$

$\sin(b) = 0.873$

$b = sin^{-1}(0.873)$

$b = 60.8 \textdegree$

Answer: Missing length = 38.95 units ; Missing angles = 29.2° and 60.8°

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3 years ago

How to algebraically find the limit of a function as x approaches infinity?

Sauron [17]

Well... One way you can do this is by testing a set of arrays and see the trend. If I chose to find what y1 is in (100, y1) and what y2 is in (101, y2), I would find the difference between y2 and y1. If y2 - y1 is positive, this means there is a positive relationship and y is also approaching POSITIVE infinity. A negative relation means that it is approaching NEGATIVE infinity. However, it could be approaching a single number like "4" for instance, and you just need to plug in the right number of data sets to make that educated guess.

Formula Example:
5 + 1 / (x + 1) will always approach 5 because "1 / (x + 1) will approach 0".

Hope this helps.

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3 years ago

Which expression gives the same result as shown problem?

sineoko [7]

The first choice gives you the same result. The factor of 5 can be removed to the outside of the summation symbol.

$5\sum\limits_{i=0}^{4}{\left(\dfrac{1}{3}\right)^{i}}$