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2 years ago

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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What is the following 2/ √13 + √11

Korvikt [17]

Answer:

Its C

Step-by-step explanation:

4 0

3 years ago

A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil

Reptile [31]

Step-by-step explanation:

1 week = 7 days of 24 hours each = 7×24 = 168 hours.

the first team can do 1/700 of the total work per hour.

the second team can do 1/600 if the total work per hour.

if they work together, then 1/700 + 1/600 of the total work can be done per hour.

to add these 2 fractions we need to bring them to the same denominator. and that would be 4200 (LCM of 700 and 600).

1/700 + 1/600 = 6/4200 + 7/4200 = 13/4200

so, together, they can do 13/4200 if the total job in 1 hour.

how many hours will they need together to finish the job ?

well, how often does 13 fit into 4200 (as 4200/4200 is the complete job) ?

4200 / 13 = 323.0769231... hours

so, it will still take a little bit over 323 hours to clean all the streets.

but there are only 168 hours until the film crew starts.

so, no, there is not enough time.

4 0

2 years ago

Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

3 0

3 years ago

4-2x=11 how do I solve

Bingel [31]

Hey there!☺

$Answer:\boxed{x=\frac{-7}{2}}$

$Explanation:$

$4-2x=11$

In our first step, we will simplify both sides of the equation:

$4+-2x=11\\-2x+4=11$

Now subtract 4 from both sides:

$-2x+4-4=11-4\\-2x=7$

In our last step, we will divide both sides by -2:

$\frac{-2x}{2}=\frac{7}{-2}\\ x=\frac{-7}{2}$

x=-7/2 is your answer.

Hope this helps!☺

3 0

2 years ago

¿cuál es la característica de Euler para los poliedros regulares?

jonny [76]

Answer:

he usual definition is that every face must have the same number of edges, and the same number of faces must meet at every vertex. The key to most proofs of this classification is the Euler characteristic.

Step-by-step explanation:

4 0

3 years ago

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