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Alla [95]
3 years ago
10

For somebody that need it

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

is there a question in this? lol, if not, tyy!!

Step-by-step explanation:

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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:

A.

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

B.

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

C.

Are A and B mutually exclusive events?

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

D.

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
3 years ago
⅓ = 1÷3 True or false?
sergey [27]

Answer:

TRUE

Step-by-step explanation:

1/3

1 (divied sign) 3

yes because you ussaly only have to draw the line from the division probvlen

7 0
3 years ago
You are ima room with other students and are asked to get in groups of 3. When finished, there are 21 groups of 3. How manny stu
ivolga24 [154]

There are 63 students in the room, this is because 21 time 3 gives you 63.

6 0
3 years ago
Read 2 more answers
1.2) Q5.) The graph is a transformation of one of the basic functions. Find the equation that defines the function.
Yuri [45]
The graph starts at around x = 0. At x = 0, the graph's y-value is 2. There are no x-values that are less than 0.

The graph crosses the following points: (1,1); (4,0); (9, -1)

 The distance between each y-value is exponentially increasing, as the slope of the graph is slowly decreasing as x approaches infinity.

Based on this information, we can say that this graph is a transformation of the base function, y = √x

To determine the transformations made, we need to compare the graph to the original base function (attached below).

The basic function starts at 0, and has a positive slope. It reaches the points (1,1); (4,2); and (9,3). 

The graph in the question shows the function start at 2, and the negative slope reaching the points mentioned earlier in the answer. 

Based on this information, we can conclude that y = -√x + 2.

6 0
3 years ago
What does it mean for a differential equation to be autonomous?
andrew11 [14]
The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.

Examples:

y'=y^2-1 is autonomous

y'=y^2-1+x is *not* autonomous
7 0
2 years ago
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