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3 years ago

Write the expression for the following situation: Roger has 5 toy cars. His sister gives

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

5 + x
This shows the total of Roger’s toy car plus what his sister gives.

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Given h(x) = -5x + 3, find h(5).

cluponka [151]

Answer:

h(5) = -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = -5x + 3

h(5) is x = 5

Step 2: Evaluate

Substitute in x [Function]: h(5) = -5(5) + 3
Multiply: h(5) = -25 + 3
Add: h(5) = -22

8 0

3 years ago

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:

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

5 0

4 years ago

A circle has a radius of 3. An arc in this circle has a central angle of 20°. What is the length of the arc? Either enter an exa

Semenov [28]

Answer:

$\frac{\pi }{3}$

$2 * \pi * 3 * \frac{20}{360}$

120 $\pi$ /360 = $\frac{\pi }{3}$

Step-by-step explanation:

5 0

3 years ago

Please help asap !!!!!!

KIM [24]

Answer:

w = 6

Step-by-step explanation:

Based on the midsegment theorem:

ST = 2(PR)

ST = w + 6

PR = w

Plug in the values into the equation

w + 6 = 2(w)

w + 6 = 2w

6 = 2w - w

6 = w

w = 6

5 0

3 years ago

Write the slope-intercept form of the equation of the line that is parallel to and passes through Point X. Show all work for ful

Lapatulllka [165]

Answer:

y=-1/3x+12

Step-by-step explanation:

To write a parallel first find the slope-intercept form of the first line- y=-1/3x+4

Then rewrite the equation with a y-intercept that will create a second line that passes through X on the graph.

(Although I believe this is right, please correct me if it is not. I, of course, could have made a mistake.)

6 0

4 years ago