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kompoz [17]
4 years ago
6

Determine which relation is a function.

Mathematics
2 answers:
GrogVix [38]4 years ago
8 0
Letter A is the function because the input has exactly 1 output
anyanavicka [17]4 years ago
7 0
Answer choice a is a function because none of its x values repeat at all.  There is only one -4 in the function.  and same with all the x values
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Suppose the names of the months of the year are placed in a hat and a name is drawn at random. (a) list the sample space for thi
ollegr [7]

(a)

The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:

\Omega = \{ \text{January},\ \text{February},\ldots,\text{December}\}

(b)

An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as

E = \{ x \in \Omega: x \text{ starts with the letter J}\}

So, we have

E = \{\text{January},\ \text{June},\ \text{July}\}

(c)

If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:

P(E) = \dfrac{n(E)}{n(\Omega)} = \dfrac{3}{12} = \dfrac{1}{4}

In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.

3 0
3 years ago
Solve x -2/3(3x - 4) + 3x = 5/6 is x -19/6, 11/6, 21/6, 29/6
Tanzania [10]

Answer:

x=-11/12

Step-by-step explanation:

Given an equation for x

x -2/3(3x - 4) + 3x = 5/6

We are asked to find the value of x.

We use equation rules to solve

To get rid of denominator in fraction, let us multiply the whole equation by 6.

6x-4(3x-4) +18x = 5

Simplify:

-6x+18x+16 =5

12x = 5-16 = -11

x = -11/12

3 0
3 years ago
Write an expression that is equivalent to -2/5(15 - 20d +50)<br> Explain please!:)
valina [46]

Answer:

-26 + 4/5d

Step-by-step explanation:

-2/5 ( 15 - 2d + 50)

= -2/5 ( 65 - 2d)

= -2/5 * 65 - (-2/5) * 2d

= -26 - (-4/5d)

= -26 + 4/5d

3 0
3 years ago
Simplify the expression.<br> 4² . 4². 4²
Ugo [173]

Answer:

16.16.16

Step-by-step explanation:

please let me know if I'm wrong

but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16

3 0
3 years ago
9 11/12- 2 8/11 is a problem that i need help on
Vitek1552 [10]
Hey there!!

Okay here are the steps you can follow!

9 11/12  ---->  improper fraction  ----> 119/12
2 8/11  ---->  improper fraction  ---->  30/11

119/12  -  30/11
(119/12  -  30/11) * 132
11(119)  -  12(30)
1309 - 360
<u>949</u>
3 0
3 years ago
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