Suppose you roll a number cube. What is the theoretical probability of rolling a 2

Answers

Answer 1

Answer:

Answer: $(1)/(6)$

Step-by-step explanation:

We know that a cube has six faces , if we roll a cube then we have chances to roll six different faces with six different number if it is not biased.

Let the number on cube be 1,2,3,4,5,6.

Thus total outcomes = 6

Then the theoretical probability of rolling a 2 is given by :-

$P(2)=\frac{\text{favorable outcome}}{\text{total outcomes}}\n\n\Rightarrow\ P(2)=(1)/(6)$

Answer 2

Answer: if theres six sides to the dices then the answer will be 1/6

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3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:f(x) = 4x + 21

g(x) = 2x + 2

16
49
85
784

Answers

The value of the required function f[g(7)] is 85.

What is a function?

A function is a relation between the input and the output of a system.

Given functions are:

$f(x)= 4x + 21\ng(x)=2x+2$

Therefore, the required function:

$f(g(x))\n= 4g(x)+21\n= 4(2x+2)+21\n= 8x+8+21\n= 8x+29$

Now,

$f[g(7)]\n= 8(7)+29\n= 56+29\n= 85$

Learn more about a function here: brainly.com/question/12854410

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Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

How could you use the product of 108 and 4 find the product of 324 and 4

Answers

324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.

What is product?

In mathematics, a product is the outcome of multiplying two or more numbers together.

The outcome of multiplication is a product, or a factor, which is an expression that specifies the objects (numbers or variables) to be multiplied.

For instance, the result of multiplying 2 and 5 together is 10, or the product. Math requires a lot of multiplication.

Explanation:

Since, 324 is exactly three times 108,

324 = 3 x 108.

Therefore,

324 x 4 = (3 x 108) x 4

324 x 4 = 3 x (108 x 4)

Solving,

108 x 4 = 432

therefore,

324 x 4 = 3 x 432

324 x 4 = 1296.

As, shown above we can use the product of 108 and 4 to find the product of 324 and 4.

Thus, you multiply the product of 108*4 by thee to get 324*4

Therefore, 324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.

To know more about the product, click on the link

brainly.com/question/213425

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108 x 4 = 432 and 432 x 3 = 1296 = (324 x 4)

Multiply. Write your answer in simplest form.

2 1/2 x 3 2/3

Answers

$2 (1)/(2) * 3 (2)/(3) = (5)/(2) * (11)/(3)$
= $(55)/(6)$
= $9 (1)/(6)$

Answer:

9^1/6

Step-by-step explanation:

Solve the system of equations. 2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)

Answers

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

$2x-5y = 3\n\n x -3y = 1$

Now, we will use "Substitution Method" to find the values of x and y:

$x=1+3y\ -(3)$

Put the value of x in first equation i.e.

$2x-5y = 3$

$2(1+3y)-5y=3\n\n2+6y-5y=3\n\n2+y=3\n\ny=3-2\n\ny=1$

Now, we use the value of y in equation (3),

$x=1+3y\n\nx=1+3*1\n\nx=1+3\n\nx=4$

Hence, values of (x,y) is (4,1).

Therefore, First Option is correct.

2x - 5y = 3
x - 3y = 1...multiply by -2
---------------
2x - 5y = 3
-2x + 6y = -2 (result of multiplying by -2)
--------------add
y = 1

x - 3y = 1
x - 3(1) = 1
x - 3 = 1
x = 1 + 3
x = 4

solution is (4,1)

Solve for x.
-3x + 4 = -8

Answers

-3x+4=-8

Subtract 4 from -8
then your left with -3x=-12
Divide -12 by -3
x=4

the answer would be x=-7

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Buse Points - WEL...Nov 18, 10:39:02 AM
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DeltaMath - Googl

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Answer:

ddelete iit

Step-by-step explanation:

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