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SCORPION-xisa [38]
2 years ago
11

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

Mathematics
1 answer:
Fantom [35]2 years ago
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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435 L = ______ KL So what do i put in the blank spot ?? i dont know how to do this
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1000\ L-1KL\\ 435\ L-x\\ \\1000\cdot x=435\cdot1\cdot \  KL\ /:1000\\ \\x=0.435\ KL
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3 years ago
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5 pounds 80 cents $1.40 per pound
tensa zangetsu [6.8K]

What’s your question?

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3 years ago
One ballispicked at random from a box containing 3redballs and 1green balls. If X is the number of redballs picked, find the pro
Paladinen [302]

Answer:

P(X = 0) = 0.25

P(X = 1) = 0.75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability distribution of X.

3 red balls out of 4, one picked, so we can have either 0 red balls or 1 red ball. The probability disitribution is the probability of each outcome.

P(X = 0) = \frac{1}{4} = 0.25

P(X = 1) = \frac{3}{4} = 0.75

6 0
3 years ago
Based on the graphs of f (x) and g(x), what must the domain of (f ⋅ g)(x) be?
bekas [8.4K]

Using the concept of domain, the domain of (f.g)(x) is given by:

{x ∈ ℝ | x ≠ 3}

---------------------

  • The domain of a function is given by all possible input values, that is, <u>on a graph, all values that the x-axis assumes.</u>
  • In the graph, <u>function f assumes all real values.</u>
  • Function g is not defined for x = 3, thus, it's domain is all real values except 3.
  • Thus, the multiplication, as fg(x) = f(x) \times g(x), will also not be defined at x = 3, and the domain of the multiplication is:

{x ∈ ℝ | x ≠ 3}

A similar problem is given at brainly.com/question/4175434

4 0
3 years ago
Jared and Casey splurged on a special dinner for their anniversary. Their dinner cost $262.57, and the local sales tax is 4%. If
Maru [420]

Answer:

325.58

Step-by-step explanation:

so im not good at explaining but JUST their DINNER costed $262.57. so you also have to ADD TAX because everything has tax so to find the 4% sale tax you need to set up the equation 262.57 x .04 (which is 4%). you will get 10.50 if you round. now you need to ADD TIP which is 20%. so to find that you need to do 262.57 x .20 (which is 20%). you will get 52.51. so now take BOTH 52.51 and 10.50 and ADD them. when you get this you also add it to the 262.57 and it gets you to 325.58

3 0
2 years ago
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