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2 years ago

Evaluate. (2/3)^4 Enter your answer by filling in the boxes

Mathematics

2 answers:

Masja [62]2 years ago

6 0

Answer:

0.20

Step-by-step explanation:

That's the answer but I don't know how to explain how i got it

Alenkinab [10]2 years ago

3 0

Answer:

A mixed number is an addition of its whole and fractional parts.

2/3

Add

and

Tap for more steps...

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

2.75

Mixed Number Form:

Step-by-step explanation:

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How many square inches of tin are needed to make the top of a can that is 10 inches in diameter? A) 62.8 in2 B) 78.5 in2 C) 227

Xelga [282]

Area of a circle = PI*radius^2
10 inch diameter = 5 inch radius
Area = PI* 5^2
Area = <span> <span> <span> 78.5398163397 </span> </span> </span>
Answer is B)

8 0

3 years ago

Read 2 more answers

Find the median of the following numbers: 195, 230, 200, 226

BlackZzzverrR [31]

Answer: 213

Step-by-step explanation: The median is the middle number

in the data set when the data set is written from least to greatest.

So let's start with writing ur data set from least to greatest.

So we have 195, 200, 226, 230.

Notice that there are two middle numbers.

If there are two middle numbers in the data set,

we find the median by taking their average.

In other words, we add the two middle numbers and divide by two.

So we have 200 + 226/2 or 426/2 which is 213.

3 0

3 years ago

The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9,

vlabodo [156]

1600 children and 1400 adults attended

<h3>How to determine the number of adults?</h3>

Let the children be x and adult be y.

So, we have the following equations:

x + y = 3000

1.5x + 5y = 9400

Make x the subject in x + y = 3000

x = 3000 - y

Substitute x = 3000 - y in 1.5x + 5y = 9400

1.5(3000 - y) + 5y = 9400

Expand

4500 - 1.5y + 5y = 9400

Evaluate the like terms

3.5y = 4900

Divide both sides by 3.5

y = 1400

Substitute y = 1400 in x = 3000 - y

x = 3000 - 1400

Evaluate

x = 1600

Hence, 1600 children and 1400 adults attended

Read more about system of equations at:

brainly.com/question/14323743

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8 0

2 years ago

Let X and Y be discrete random variables. Let E[X] and var[X] be the expected value and variance, respectively, of a random vari

Ulleksa [173]

Answer:

(a) $E[X+Y]=E[X]+E[Y]$

(b) $Var(X+Y)=Var(X)+Var(Y)$

Step-by-step explanation:

Let X and Y be discrete random variables and E(X) and Var(X) are the Expected Values and Variance of X respectively.

(a)We want to show that E[X + Y ] = E[X] + E[Y ].

When we have two random variables instead of one, we consider their joint distribution function.

For a function f(X,Y) of discrete variables X and Y, we can define

$E[f(X,Y)]=\sum_{x,y}f(x,y)\cdot P(X=x, Y=y).$

Since f(X,Y)=X+Y

$E[X+Y]=\sum_{x,y}(x+y)P(X=x,Y=y)\\=\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y).$

Let us look at the first of these sums.

$\sum_{x,y}xP(X=x,Y=y)\\=\sum_{x}x\sum_{y}P(X=x,Y=y)\\\text{Taking Marginal distribution of x}\\=\sum_{x}xP(X=x)=E[X].$

Similarly,

$\sum_{x,y}yP(X=x,Y=y)\\=\sum_{y}y\sum_{x}P(X=x,Y=y)\\\text{Taking Marginal distribution of y}\\=\sum_{y}yP(Y=y)=E[Y].$

Combining these two gives the formula:

$\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y) =E(X)+E(Y)$

Therefore:

$E[X+Y]=E[X]+E[Y] \text{ as required.}$

(b)We want to show that if X and Y are independent random variables, then:

$Var(X+Y)=Var(X)+Var(Y)$

By definition of Variance, we have that:

$Var(X+Y)=E(X+Y-E[X+Y]^2)$

$=E[(X-\mu_X +Y- \mu_Y)^2]\\=E[(X-\mu_X)^2 +(Y- \mu_Y)^2+2(X-\mu_X)(Y- \mu_Y)]\\$Since we have shown that expectation is linear$\\=E(X-\mu_X)^2 +E(Y- \mu_Y)^2+2E(X-\mu_X)(Y- \mu_Y)]\\=E[(X-E(X)]^2 +E[Y- E(Y)]^2+2Cov (X,Y)$

Since X and Y are independent, Cov(X,Y)=0

$=Var(X)+Var(Y)$

Therefore as required:

$Var(X+Y)=Var(X)+Var(Y)$

7 0

3 years ago

You have proveGraph the image of rectangle RSTU after a translation 4 units down.

rodikova [14]

After the translation 4 units down

The rule of translation is (x, y) to (x , y-4)

The graph will be as following

============================================================================

For the graph of the triangle:

D = ( 4 , 0) , B = (6 , -2) and C = ( 10 , -2)

it is required to graph after translation 7 units left and 8 units up

So, for each point add ( -7 , 8 )

So,

D' = ( -3 , 8) , B' = (-1 , 6 ) and C' = ( 3 , 6)

the graph will be as following:

4 0

2 years ago