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Sholpan [36]
3 years ago
6

7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

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Divide 310AED among A B C in the ratio 2:3:5
Shkiper50 [21]

Answer:A=62AED B=93 C=155

Step-by-step explanation:

You add all of the numbers to split between (2,3,5) you get 10

then you divided 310 by 10 which is 31

then you times 2 by 31=62 (a)

3x31=93 (b)

5x31=155 (c)

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konstantin123 [22]

Answer:

y=3

Step-by-step explanation:

To solve this 2 step equation, we need to get y alone. Lets write out the equation

-2y+16=10

Subtract 16 from both sides

-2y-16+16=10-16

Subtract

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divide both sides by -2

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3 years ago
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The statue or liberty is 305 feet tall measuring from the ground to the tip of the torch if the model is 1/100 the actual size o
sergejj [24]

Given:

Height of statue or liberty from the ground = 305 feet

Model is \dfrac{1}{100} the actual size of the statue of liberty.

To find:

The height of the model of statue.

Solution:

According to the question,

Model =  \dfrac{1}{100} of the actual size

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Therefore, the height of the model of statue is 3.05 feet.

8 0
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Which statements are true about the interquartile range? Select all that apply.
PilotLPTM [1.2K]

Answer:

The true statements are:

B. Interquartile ranges are not significantly impacted by outliers

C. Lower and upper quartiles are needed to find the interquartile range

E. The data values should be listed in order before trying to find the interquartile range

Step-by-step explanation:

The interquartile range is the difference between the first and third quartiles

Steps to find the interquartile range:

  • Put the numbers in order
  • Find the median Place parentheses around the numbers before and after the median
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The interquartile range is not sensitive to outliers

Now let us find the true statements

A. Subtract the lowest and highest values to find the interquartile range ⇒ NOT true (<em>because the interquartial range is the difference between the lower and upper quartiles</em>)

B. Interquartile ranges are not significantly impacted by outliers ⇒ True <em>(because it does not depends on the smallest and largest data)</em>

<em />

C. Lower and upper quartiles are needed to find the interquartile range ⇒ True <em>(because IQR = Q3 - Q2)</em>

<em />

D. A small interquartile range means the data is spread far away from the median ⇒ NOT true (<em>because a small interquartile means data is not spread far away from the median</em>)

E. The data values should be listed in order before trying to find the interquartile range  ⇒ True <em>(because we can find the interquartial range by finding the values of the upper and lower quartiles)</em>

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Answer:

a

Step-by-step explanation:

as x goes up by 1 y goes up by 4

4 0
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