Which function is represented by the graph?

Mathematics

1 answer:

s2008m [1.1K]2 years ago

8 0

Answer:

Step-by-step explanation:i took the quiz

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Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number

zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.

7 0

4 years ago

What is the simplified form of (4j2+6)+(2j2-3)

Galina-37 [17]

Answer: $6j^2+3$

Step-by-step explanation:

In order to solve this exercise it is important to remember the multiplication of signs. Notice that:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case you have the following expression given in the exercise:

$(4j^2+6)+(2j^2-3)$

Where the variable is "j".

When you multiply signs, you get:

$=4j^2+6+2j^2-3$

Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is the shown below:

$=6j^2+3$