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Gelneren [198K]
3 years ago
10

find the number of different outfits that can be made if you choose 1 each from 11 skirts, 9 blouses, 3 belts, and 7 pair of sho

es.
Mathematics
1 answer:
zhenek [66]3 years ago
6 0
Counting principle
Multiply 11 * 9 * 3 * 7 = 2079
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A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 4 comma 5 comma 6 c
olchik [2.2K]
The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

So, compliment of E will be equal to S - E. S - E will result in all those elements of S which are not present in E. So, we can write:

E^{c}=S-E \\  \\ 
E^{c}=(4,5,6,7,8,9,10,11,12,13,14,15)-(7,8,9,10,11,12,13,14,15) \\  \\ 
E^{c}=(4,5,6)

Thus the set compliment of E will contain the elements {4,5,6}.So

E^{c} = {4,5,6}

Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

Number of elements in set S = n(S) = 12
Number of elements in set E^{c} = n(E^{c})=3

So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ 
P(E^{c})= \frac{3}{12} \\  \\ 
P(E^{c})= \frac{1}{4}
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3 years ago
Select the answer that contains one countable noun and one uncountable noun
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Mamdiiajfhxtxusisudjdsusi
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The product of two consecutive positive integers is greater than their sum by 209. Find these numbers.
Delicious77 [7]

Answer:

I think it is -4 and -3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need a answer. Stat
lara [203]
2x-6y=12
table...
x. y.
0. -2
1. -7/3
2. -4/3
6. 0

plot the 4 points and connect using straight edge
7 0
3 years ago
Find the equation of a line that is perpendicular to line g that contains (P, Q). coordinate plane with line g that passes throu
maw [93]

Answer:

y - Q =  -  \frac{1}{4}(x - P)

Step-by-step explanation:

Line g passes through (-2,6) and (-3,2).

The slope of line g is given by:

\frac{ y_2-y_1}{x_2-x_1}

Let's substitute the values to get:

\frac{2 - 6}{ - 3 -  - 2}= \frac{ - 4}{ - 1}  = 4

The equation that is perpendicular to line g will have a slope that is the negative reciprocal of 4.

i.e -1/4

If this line passes through (P,Q), then the equation is:

y - Q =  - \frac{1}{4} (x - P)

7 0
3 years ago
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