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iris [78.8K]
3 years ago
13

How much is f(x) = 3(4)x

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

f ( x ) = 12 x

Step-by-step explanation: 3x4=12 so that makes it f(x)=12x

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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}
7 0
3 years ago
Which is greater? 12.045 or 12.54
Pavlova-9 [17]

Answer:

12.54

Step-by-step explanation:

5>0

6 0
3 years ago
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$90 with 25% off (SHOW WORK)
Ivahew [28]

Answer:

$22.5

Step-by-step explanation:

25% of $90

25% x 90

0.25 x 90

$22.5

4 0
2 years ago
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A changes saved<br> Set up a proportion and use it to solve for x.<br> 2<br> 10<br> х<br> 3
V125BC [204]

Answer:

C. 15

Step-by-step explanation:

The following proportional can be set-up for the figure given:

\frac{x + 3}{x} = \frac{10 + 2}{10}

Solve for x

\frac{x + 3}{x} = \frac{12}{10}

\frac{x + 3}{x} = \frac{6}{5}

Cross multiply

5(x + 3) = x(6)

5x + 15 = 6x

15 = 6x - 5x

15 = x

x = 15

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3 years ago
What is the slope of the line that passes<br> through<br> 0(-4, 8) and (5, 2)?
zlopas [31]

Answer:

(-8,-4) and (-2,5). at reflect on x axis

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2 years ago
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