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3 years ago

HELP!!!

Mathematics

2 answers:

eduard3 years ago

8 0

for the correct answer you want option 2, its correct

ki77a [65]3 years ago

4 0

Length of the outer frame: 4+2x
width of the outer frame: 3+2x
area of the outframe: (4+2x)(3+2x)=15
expand the equation: 12+8x+6x+12x^2=15
combine like terms: 4x^2+14x-3=0

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Suppose a random variable X has the following probability density function:f(x)=1/x, 1≤x≤C, or f(x)=0 otherwise a) what must the

Sergeeva-Olga [200]

Answer:

a) $C=e^1=e$

b) $P(X$

c) $E(X) =\int_{1}^e x \frac{1}{x} dx =x \Big|_1^e \ =e-1$

$E(X^2) =\int_{1}^e x^2 \frac{1}{x} dx =\frac{x^2}{2} \Big|_1^e \ =\frac{1}{2}(e^2 -1)$

$Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242$

Step-by-step explanation:

a) what must the value of C be so that f(x) is a probability density function?

In order to be a probability function we need this condition:

$\int_{1}^C \frac{1}{x} dx =1$

And solving the left part of the integral we have:

$ln(x) \Big|_1^C \ =1$

$ln(C)-ln(1)=1$ , so then $C=e^1=e$

b) find P(X<2)

We can find this probability on this way using the density function:

$P(X$

c) find E(X) and Var(X)

We can find the expected value on this way:

$E(X) =\int_{1}^e x \frac{1}{x} dx =x \Big|_1^e \ =e-1$

In order to find the Var(X) we need to find the second moment given by:

$E(X^2) =\int_{1}^e x^2 \frac{1}{x} dx =\frac{x^2}{2} \Big|_1^e \ =\frac{1}{2}(e^2 -1)$

And now we can use the following definition:

$Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242$

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4 years ago

What is the median score on the test?

VMariaS [17]

The median score on the test is 79

4 0

3 years ago

Read 2 more answers

The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about th

AVprozaik [17]

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

$d^2 = l^2 + l^2$

$d^2 = 2l^2$

Take positive square root of both sides

$d = \sqrt{2l^2}$

Split:

$d = \sqrt{2} * \sqrt{l^2}$

$d = \sqrt{2} *l$

Recall that the side length (l) is rational.

However, $\sqrt 2$ is irrational.

So, the product of l and $\sqrt 2$ will be irrational

Hence:

The diagonal is irrational

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3 years ago

How many lines of symmetry does the figure have? <br> A. 0<br> B. 1<br> C. 2<br> D.4

lord [1]

The answer of this question is 4

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4 years ago

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Write these numbers in order from least to greatest. ( 3-3/10), (3.1) , (3-1/4)

Orlov [11]

Our three numbers are...

3 3/10 = 3.3

3.1

3 1/4 = 3.25

So, if we order those from least to greatest, we have...

3.1, 3.25, 3.3

which, in the forms given, is...

3.1, 3-1/4, 3-3/10

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3 years ago