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lianna [129]
3 years ago
10

Witch of the following properties can be used to show that the expression 4^5/3 is equivalent to ^3√4^5

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Step-by-step explanation:

I think so option b Is answer

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In the game of​ roulette, a wheel consists of 38 slots numbered​ 0, 00,​ 1, 2,..., 36. To play the​ game, a metal ball is spun a
Oxana [17]

Answer:

E(X)=-0.0526

Sd(X)=5.763

Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.  

Let X be a random variable which denotes the money you may win or lose on each spin.

In the game of roulette, a wheel consists of 38 slots. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, we win $35; otherwise we lose $1.  So we have just one possibility to win and 37 of lose on an individual game.

___________________________

X            P(X)

___________________________

35           1/38

-1            37/38

___________________________

In order to calculate the expected value we can use the following formula:

E(X)=\sum_{i=1}^n X_i P(X_i)

And if we use the values obtained we got:

E(X)=(35)*(\frac{1}{38})+(-1)(\frac{37}{38})=-0.0526

In order to find the standard deviation we need to find first the second moment, given by :

E(X^2)=\sum_{i=1}^n X^2_i P(X_i)

And using the formula we got:

E(X^2)=(35^2)*(\frac{1}{38})+((-1)^2)(\frac{37}{38})=33.211

Then we can find the variance with the following formula:

Var(X)=E(X^2)-[E(X)]^2 =33.211-(-0.0526)^2 =33.208

And then the standard deviation would be given by:

Sd(X)=\sqrt{Var(X)}=\sqrt{33.208}=5.763

4 0
3 years ago
18.0*18.9 please help, please!
kicyunya [14]

Answer:

340.2

Step-by-step explanation:

18.0 x 18.9 = 340.2

5 0
3 years ago
Read 2 more answers
Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options
Murljashka [212]

Answer:

The value of X is more than equal to -1.83.

Step-by-step explanation:

We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'

LHS of the inequality will be : -32x-5

RHS of the inequality will be : (52-X)

So,

-32X-5\leq 52-X

Adding X both sides

-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52

Adding 5 to both sides,

-31X-5+5\leq 52+5\\\\-31X\leq 57

Dividing both sides by -31.

X\geq \dfrac{-57}{31}\\\\X\geq  -1.83

So, the value of X is more than equal to -1.83.

5 0
3 years ago
What is 24.2% of 120
katen-ka-za [31]

Answer:

29.04

Step-by-step explanation:

Multiply: 120*.242=29.04

It's multiplied by .242 bc if you want to turn a percentage into a decimal you need to move the decimal twice to the left. So, 24.2 becomes .242.

3 0
3 years ago
X-4/x-3 is less than 2x-1/2
kifflom [539]

Answer:

yes

Step-by-step explanation:

yes

5 0
3 years ago
Read 2 more answers
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