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3 years ago

Identify the following probability as theoretical or empirical.

2 answers:

6 0

"Theoritical" is the one among the choices given in the question that identifies the following probability given in the question. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has come to your great help.

Umnica [9.8K]3 years ago

6 0

Theoretical~~~~~~~APEX

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Fill in the blank.

natima [27]

The correct answer is: Commutative Property

Further Explanation:

The commutative property states that the order of number doesn't matter and changing the order of numbers or variables will produce the same result.

Commutative Property of Addition:

The Commutative Property of addition means that an expression can be written as a + b = b + a.

Commutative Property of Multiplication:

The Commutative Property of multiplication means that an expression can be written as a • b = b • a

Hence, the correct answer is: Commutative Property

Keywords: Commutative property, addition, multiplication

Learn more about Properties at:

#LearnwithBrainly

4 0

3 years ago

What is the solution to the equation StartFraction y Over y minus 4 EndFraction minus StartFraction 4 Over y + 4 EndFraction = S

Citrus2011 [14]

Answer:

Step-by-step explanation:

Given:

(y/y - 4) - (4/y + 4) = 32/y^2 - 16

Note y^2 - 16 = (y - 4 ) × (y + 4)

Multiplying the equation; both sides by y^2 - 16,

y (y + 4) - (4(y - 4)) = 32

y^2 + 4y - 4y + 16 = 32

y^2 = 32 - 16

Squaring both sides,

y = sqrt(16)

= 4

8 0

3 years ago

Read 2 more answers

Which best describes the function notation f(3)=15

horsena [70]

If you are given a function, say f(x) = mx+c
This function would give you the relation between two variables, in other words it tells you the output when an input "x" is inserted.

The input for your function would be "x" and the output would be the result of the equation given.

Based on this:
for f(3) = 15, the input (x) would be 3 and the output would be 15

Therefore, the correct choice is:
B) the output is 15, the input is 3

8 0

4 years ago

Read 2 more answers

Math question. PLEASE HELP. I really need it

mina [271]

Answer:

rotation about a point

Step-by-step explanation:

You can use the process of elimination for the first three options, as you can see that this is not what is happening. The final option, rotation, fits.

7 0

4 years ago

Read 2 more answers

Evaluate 1^3 + 2^3 +3^3 +.......+ n^3

Molodets [167]

Notice that

$(n+1)^4-n^4=4n^3+6n^2+4n+1$

so that

$\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

We have

$\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)$

$\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1$

so that

$\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

You might already know that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

so from these formulas we get

$\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n$

$\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4$

$\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}$

If you don't know the formulas mentioned above:

The first one should be obvious; if you add $n$ copies of 1 together, you end up with $n$ .
The second one is easily derived: If $S=1+2+3+\cdots+n$ , then $S=n+(n-1)+(n-2)+\cdots+1$ , so that $2S=n(n+1)$ or $S=\dfrac{n(n+1)}2$ .
The third can be derived using a similar strategy to the one used here. Consider the expression $(n+1)^3-n^3=3n^2+3n+1$ , and so on.

7 0

4 years ago