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elena-14-01-66 [18.8K]
3 years ago
5

What is the probability of rolling a pair of dice and not rolling the same number?

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

5/6

Step-by-step explanation:

The "first" dice can land on any number, so there are 6 choices. The "second" can not be the same number as the first one. So there are 5 choices. We multiply to get 6*5=30 ways to roll a different number. There are 6*6 total ways so the probability is 30/36 which simplifies to 5/6.

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There is a bag filled with 4 blue and 5 red marbles.
gavmur [86]

1) first pick red 5/9 blue 4/9


2) second pick when red has been picked red now becomes 4/8, blue stays 4/8


2) Second pick when blue has been picked blue now becomes 3/8, red stays 5/8


Mind you, you only need both different colours so:

first pick red 5/9 x sec pick blue 4/8 = 20/72

and first pick blue 4/9 x sec pick red 5/8 = 20/72

add both up 20/72 + 20/72 = 40/72 = 5/9

6 0
3 years ago
How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?
Anastasy [175]

Whenever you can invert a function, you have that the graphs of f(x) and its inverse f^{-1}(x) are reflected with respect to the line y=x

So, given any point on the graph of f^{-1}(x), you can simply swap its coordinates to get the correspondent point on the original function f(x)

As an example, all exponential functions pass through the point (0,1), while all the logarithmic functions pass through the point (1,0)

6 0
3 years ago
Read 2 more answers
Next Question!
rodikova [14]

Answer:

1/6≈0.17≈17%

Step-by-step explanation:

6 0
4 years ago
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Without using a calculator, determine the number of real zeros of the function
kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

#SPJ1

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2 years ago
Mariana made a quilt square with the design shown below. Which of the following best describes the shaded triangle with the give
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Wht
Does this all mean lol
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