What is the area under f(x) if the function is a continuous probability density function?

Answers

Answer 1

Answer:

If X is a continuous random variable, the probability density function f(x), is used to draw the graph of the probability distribution. The total area under the graph of f(x) is one.


Related Questions

If 8 pizzas cost $72,how much will 15 pizzas cost

Answers

Answer: $135

Explanation: To find how much 15 pizzas will cost, first we have to find out how much just one pizza will cost. To do this, you have to divide both the number of pizzas (8) and also the price for those 8 pizzas ($72) by the number of pizzas (8 again). When you do this you get the price of one pizza. Then you multiply the price of one pizza by the amount of pizzas you actually need to find the value for (15). This is a lot to explain but don't lose hope! Let me show you step by step and it'll make more sense.

Step 1) Divide both the amount of pizzas and the cost of that many pizzas

8 ÷ 8 = 1

72 ÷ 8 = 9

This means that one pizza costs 9 dollars.

Step 2) Multiply the cost of one pizza by 15 (the amt of pizzas you need to find the cost for)

15 × 9 = 135

135 is the cost for 15 pizzas. I hope this helps you!

So sense the total of 8 pizzas equal 72 we need to know how much the cost is for 1 pizza.

In that case we will do 72 divided by 8. And that equals 9.

Now that we know the cost for 1 pizza each is (9),

we do 9x15 to get the total cost of 15 pizzas and that is $135.

Answer:$135

simple❤️

Use the cards below to create a list of steps, in order, that will solve the following equation.
3(x+6)2 = 75
Solution steps:
Add 6 to both sides
Divide both sides by 3
1
Divide both sides by
3
Subtract 6 from both sides
ay
23
Square both sides
Take the square root of both sides

Answers

1. Divide both sides by 3
2. Take the square root of both sides
3. Subtract 6 from both sides

If you can clean 1/6 of your bedroom in 15 minutes, what is your rate per hour?

Answers

2/3 per hour. 15 min x 4 = 1 hour. 1/6 x 4 = 4/6. Simply 4/6 = 2/3

PLEASEE ANSWER THIS I BEG ILL ADD U AS BRAINLIST!

Answers

Answer:

Simplifying

2xy + -4xy = 0

Combine like terms: 2xy + -4xy = -2xy

-2xy = 0

Solving

-2xy = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-2'.

xy = 0

Simplifying

xy = 0

The solution to this equation could not be determined.

Step-by-step explanation:

i only got the first 1 sry

5(t-9) +12t=20

3(6m-17),m=5

Answers

Answers: 67 and 39

Solving:
5(t - 9) + 12
5(20 - 9) + 12
100 - 45 + 12
55 + 12
67

3(6m - 17)
3(6*5 - 17)
3(30 - 17)
90 - 51
39

Is the problem situation a function? Explain your answer.

Answers

Answer:

where is the problem at

Step-by-step explanation:

You want to buy a new app for your iPhone that costs $2.50. The tax rate is 4%. How much total do you pay for the app?

Answers

9514 1404 393

Answer:

  $2.60

Step-by-step explanation:

You pay ...

  app cost + tax

  $2.50 + 4% × $2.50 = $2.50×(1 + 4%) = 1.04×$2.50 = $2.60

You pay $2.60 for the app.

Which is the graph of the following equation?
x2 = 25

Can someone please help me ASAP!

Answers

Answer:

D

Step-by-step explanation:

x^2=25

[tex]\sqrt{x^{2}[/tex] = [tex]\sqrt{25}[/tex]

x= 5

como se saca la raíz cuadrada?

Answers

Answer:

La raíz cuadrada de cualquier número se puede expresar usando la fórmula: √y = y½.

The height of a model rocket, H(t), is a function of the time since it was
launched, t.
Time (seconds)
What is the domain of H(t)?
A. t <100
B. T>0
C. 0 D. 0

Answers

A because if I use my common sense that the only thing that comes to my mind as an answer.

The domain of function H(t) is 0 ≤ t ≤ 20.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that the value of t is from 0 to 20 seconds.

Now,

The value of t can be written as an inequality:

0 ≤ t ≤ 20

Thus,

The domain of function H(t) is 0 ≤ t ≤ 20.

Learn more about functions here:

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Illinois' population is now 12.5 million and decreasing by 0.1 million each year. On the other hand, Arizona's population is 6.9 million and increasing by 0.6 million each year. In how many years will the two states have the same population?

Answers

Answer:

8 years

Step by step guide:

100,000 x 8 = 800,000

600,000 x 8 = 4,800,000

6,900,000 + 4,800,000 = 11,700,000

12,500,000 - 800,000 = 11,700,000

Constance will put $500 in a savings account. Which option should she choose so that she will have the most money?
1 year at 12 percent
1 year at 9 percent
2 years at 7 percent
2 years at 5 percent

Answers

Answer:

2 years at 7 percent

Step-by-step explanation:

Let's do math on each option

$500 x .12 = $60 interest

$500 x .09 = $45 interest

$500 x 0.07 = $35 x 2 = $70 interest

$500 x 0.05 = $25 x 2 = $50 interest

Answer:

B

Step-by-step explanation:

I got 100 percent

Subtract 8 1/5 - 4 2/5
. Simplify the answer and write as a mixed number.

Answers

Answer:

3 4/5

Step-by-step explanation:


Graph system of inequalities
Y>|2/3x-3
Y>|-4/3x+3


Answers

The Graphs are in attachment !

1st graph is for equation :

[tex]y > \dfrac{2}{ 3}x - 3[/tex]

2nd graph is for equation :

[tex]y > - \dfrac{4}{3} x + 3[/tex]

Given system of inequalities:-

[tex]y = \frac{2}{3}x - 3[/tex]

and

[tex]y = \frac{ - 4}{3}x + 3[/tex]

So, the graph for the given system of inequalities is attached along with this answer.

Please refer the attachment for the graph.

✍️ By Benjemin ☺️

List all the 3-digit numbers that fit
these clues.
• The hundreds digit is greater
than 7.
• The tens digit is less than 2.
• The ones digit is the same as the
hundreds digit.
So, the numbers that fit the clues are 191, 193, 195, 197, 199.

Answers

i’m sorry, i don’t quite understand the question. do you have a photo of it by any chance?

Click this if you are a savage

Answers

Answer:

i  am

Step-by-step explanation:

pro!

uhfy1gujhqfvwtfu

4. Solve 3n = n - 2.
n = 2
n = 1
n=-2
n=-1​

Answers

I think the answer is -1

3n=n-2

3n-n=2

2n=2

n=1

Hope it helps you! Please mark Brainliest! :)

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline.
You have 3.75 gallon of gas. How much oil should you add?

Answers

Answer:

Step-by-step explanation:

You should add 9 fl. oz. of oil to your 3.75 gallons of gas.

Puch Maxi Moped from the mid-Eighties now since this moped doesn't run on straight gasoline, you need to create a special fuel mixture. This involves combining oil and gas in a specific ratio. The magic ratio here is 2.4 fl. oz. (fluid ounces) of oil for every gallon of gasoline.

You mentioned you've got 3.75 gallons of gas. To figure out how much oil you need, we can use some math. First, let's find out how much oil is required for one gallon of gas:

2.4 fl. oz. of oil/gallon x 1 gallon = 2.4 fl. oz. of oil.

So, for 3.75 gallons of gas, you'll need:

2.4 fl. oz. of oil/gallon x 3.75 gallons = 9 fl. oz. of oil.

You should add 9 fluid ounces of oil to your 3.75 gallons of gas to create the proper fuel mixture for your Puch Maxi Moped.

To know more about Ratio here

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What is the correct number form for “seven and eighty-three thousandths?”
7.083
7.83
7.803
7.830

Answers

Answer:

7.083

Step-by-step explanation:

well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D

7.830 is the correct answer for that question

Solve the following for x :
y+x=z

a. x = yz
b. x = z - y
c. x = y - z
d. x = z/y

Explain.

Answers

Answer:

B. x = z - y

Step-by-step explanation:

Move y  to the opposite side of the equals sign while remembering to make it negative:

y + x = z  

|_______|

x = z - y

Hope this helped. A brainliest would be very much appreciated. (I need 1 brainliest so I can level up) :)

Given the function y = (x - 2)2 graphed below, which restriction of the domain will result in
the inverse being a function?

VIEW IMAGE FOR GRAPH!

A: y = (x - 2)^2 , x ≥ 1
B: y = (x - 2)^2 , x ≥ 2
C: y = (x - 2)^2 , x ≥ 0
D: y = (x - 2)^2 , x ≥ -2

Answers

The answer is B: Y=(x-2)^2, x> 2

The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

Then the parabolic function is given below.

y = (x - 2)²

The restriction of the domain will result in the inverse being a function given as,

x - 2 ≥ 0

x ≥ 2

The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.

More about the function link is given below.

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Solve the following expression when
v = 10 and e= 5
2v ÷ e + 3​

Answers

Answer: 7

Step-by-step explanation:

[tex]2(10) \div 5 +3\\\\20 \div 5 + 3\\\\4+3\\\\\boxed{7}[/tex]

A down payment of $195 is made on a television that costs $1300. What percent of the
cost is the down payment?

Answers

6.66666667% I hope that is helpful to you

Answer:

15%

Step-by-step explanation:

Add 195 to 1300, which gives you, 1495.

Use the formula for percent change:  Difference = % * original price.

So what is the difference between 1495 and 1300? It’s 195.

Now we have 195 as the difference.

Do we know the original price of the TV? Yes we do. What is it? Its 1300 because the question states the TV costs $1300.

Now we have the equation 195 = % * 1300

We don’t know the percentage, right? So now we have to solve for %. To do that, you have to do 195 divided by 1300, which gives you 0.15. Lastly, you have to turn 0.15 into a percentage, to do that, multiply 0.15 by 100, and it should give you 15%.

Therefore, 15% is the down payment. Hope this helps!

NO LINKS OR ASSESSMENT!!

Write a rule to describe each transformation #9 & #11​

Answers

Answer:

Step-by-step explanation:

Remark

I really don't know what to write to these questions. I can never tell what the problem is. Perhaps it is right at the very beginning. You have to recognize what is taking place. In problem 9, the easiest point to follow is H going to H'. Do you see what is happening? H is sitting on the x axis and then something happens to it and behold, it is now sitting on the y axis. So it has rotated 90 degrees but which way?

Take your finger or a pencil and put it on H. Then make a circular motion to get to H'. You are going clockwise. (keep going in that direction till you wind up where you started. You are going in the direction of one of those old fashioned clocks. Now the trick in a rotation is if you can figure out what one point is doing, you know what all points are doing on the given figure.

So the translation is 90 degrees clockwise. That means the following rule must be operating

(x,y) ===> (y, - x)

H(-3,0) ===> H'(0, - - 3) = H'(0,3)

I(-2,1) =====>I'(1, - - 2) = H'(1,2)

J(0,1) =====>J'(1,0)

G(-3,-3)====>G'(-3, --3) = G'(-3,3)

11

At first you may think that this is a translation of some kind. I thought so at first. D and D' certainly look that way and C and C' also look that way. But B and E are not well behaved. You are looking at a 180 degree rotation

The rule you need here is (x,y) becomes (-x , - y)

I'll leave C and D to you and do one of the B and E

E(3,5)=E'(-3 , - 5)

9514 1404 393

Answer:

  9) (x, y) ⇒ (y, -x) . . . . rotation 90° CW

  11) (x, y) ⇒ (-x, -y) . . . rotation 180°

Step-by-step explanation:

9) Distance from the origin to an image point is the same as to the preimage point, but the direction is changed by 90° in the CW direction. For example, J is north of the origin, but J' is east, a direction change of 90° CW.

The transformation describing a 90° CW rotation is the rule ...

  (x, y) ⇒ (y, -x)

__

11) Distance and direction to each image point from the origin are equal and opposite of distance and direction to the preimage point. The figure has been rotated 180°. The corresponding rule is ...

  (x, y) ⇒ (-x, -y)

A go-karts top speed is 607,200 feet per hour. What is the speed in miles per hour?

Answers

115 miles per hour. Divide 607,200 by 5280.

I NEED HELP WITH THIS MATH PROBLEM!!!!
Which expression is equivalent to 6f-1+7f-8?
13f+7 5f-1
-f+7 or -9+13f

Answers

Answer:

Step-by-step explanation:

6f - 1 + 7f - 8 = 6f + 7f - 1 - 8

                     = 13f - 9

Combine like terms. Like terms have same variable with same power.

Answer:

-9+13f

Step-by-step explanation:

6f+7f = 13f

-1 + -8= -9

So the sum of them is -9+13f

ALGEBRA Ishiro Murakami has $15.60 deducted weekly for
family medical insurance. His employer pays 85% of the cost.
What is the annual premium?

Answers

Murakami's Annual premium which is the total value of medical insurance in a year is $5408

Percentage paid by employer = 85%Percentage paid by worker = 15%Number of weeks in a year = 52

Annual deduction from worker's salary = 52 × 15.60 = $811.2

15% of annual premium = 811.2

Let annual premium = p

Therefore,

15% × p = 811.2

0.15p = 811.2

Divide both sides by p

p = 811.20 / 0.15

p = $5408

Therefore, his annual premium is $5408

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round 45,621 to the nearest 10

Answers

Answer:

45621.0

Step-by-step explanation:

Already rounded to the nearest tenth.

Answer

the answer to this question is 45620.

10% of what is 80,000?

Answers

Answer:

let the no be x ..then,

10% of x =80,000

10x=80,000*100

x=80,00,000/10

x=8,00,000

hence 10%of 8,00,000 is 80,000

what is the value of the function when x = 0? ​

Answers

Answer:

f(0) = -2.

Step-by-step explanation:

This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0.  Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.

Therefore, the value of the function when x = 0 is: f(0) = -2.

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