1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lina2011 [118]
3 years ago
11

The total area under the probability density curve of any continuous distribution is 1.0.

Mathematics
2 answers:
Alla [95]3 years ago
6 0
It is true by definition of a probability curve.

Area under the domain of ALL continuous probability curves is 1.0.

If the area under a curve's domain does not add up to 1.0, it is not a probability curve.  (contrapositive of the same statement!)
denis23 [38]3 years ago
3 0
It is true by definition of probability curve
You might be interested in
WILL GIVE BRAINLIEST<br> FIND VOLUME<br> 60 is the area of the base
scoundrel [369]
Hey so yeah this can be a challenging problem, Vol (V) is much easier to solve than surface area (SA), but I'll show you how it's done, my friend.
First of all, V (prism) = area of base (B) × h
We know that the height (h) of this prism is given, which we'll need later on: h = 5 ft, and area of base (B) is given as 60 ft2
So V = 60 ft2 × 5 ft = 300 ft3

So now for the hard part... how to calculate the SA of this prism

IF YOU DON'T NEED SA FOR THIS TYPE OF PROBLEM, DO NOT PROCEED!!!
[VERY DETAILED]

means solving the dimensions (sides) of that pesky polygon base (B) or lid.
The most important things about polygons are:
1) is it regular (same angle ° and side length)??
2) How many sides or angles??

This has to be regular, because they give you no other info so it has to be, in order to solve. And then it has 5 sides and angles = regular pentagon. ("penta" means 5).

Now there are 360° in any circle, so:
take the central angles of where the sides meet at the center forming triangles (see drawing above), each of those (5) central <'s = 360/5 = 72°
Now the apex of each of these triangles = 72°
but with our 5 triangles, we need to find the height of each triangle -- which is the midpoint of the side (base (b) of triangle), and h is perpendicular to this b. By bisecting that apex angle of 72, it forms 2 equal right triangles of
72/2 = 36°. So each right triangle has 36, 90, and?? 180-36-90 = 90-36 = 54°
let's call the base (b) = 1 side of pentagon
= side (s)
Therefore (see 2nd image drawn above) tangent (tan) of € = opposite/adjacent, or
tan (54) = h÷1/2b --> h = [tan (54)]×(1/2)b
1/2b = h/[tan (54)] = h/1.38

Also the area of each of the larger 5 triangles A(t) = 1/2b×h, and that area A(t) × 5 = area of whole pentagon base A(B)
So now after all that... our A(B) given at beginning = 60ft2. let's put it all together:
1/2b = h/[tan (54)] = h/1.38
A(t) = 1/2b×h, and A(B) = 5×A(t)
which means that A(B) = 5×(1/2b×h)
AND since the other calculation shows that 1/2b = h/1.38, plug that value into the A(B) formula...
.
.
.

now that we have height (h) of each triangle, we can go back to our tan equation for the triangle: tan (54) = 1.38 = h/(1/2b)
--> 1/2×b = h/1.38 --> base (b) = 2h/1.38
b = 2(4.06 ft)/1.38 = 8.12 ft/1.38 = 5.90 ft, for which b us also the width of each rectangular side panel (w)
length (l) of these sides was given as height of the whole prism = 5 ft

NOW FINALLY... THE FINAL SURFACE AREA OF THE PRISM (SA) = (2×A(B)) + (5×rectangular side)
SA = (2×60 ft​2) + (5×(l×w)) = 120 ft2 + 5×5ft×5.9ft
SA = 120 ft2 + 147.62 ft2 = 267.62 ft2

4 0
3 years ago
Learning Task 1: Evaluate the following expressions using GEMDAS or
Vlada [557]

Kabhi Kabhi lagta ha ki apun ich god ha

4 0
2 years ago
Read 2 more answers
The area of a regular hexagon is 14.96 cm2. What is the perimeter of the hexagon? A. 1.2 space c m B. 1.2 square root of 3 space
victus00 [196]

Answer:

14.4 cm

Step-by-step explanation:

The formula for the area of a regular hexagon in terms of its side length s is ...

... A = (3√3)/2·s²

Then the side length is ...

... s = √(2A/(3√3))

and the perimeter is ...

... P = 6s = √(8A√3)

For your area, this is ...

... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm

7 0
3 years ago
Read 2 more answers
What is the correct answer in the photo A. B. C. or .D please explain why
balu736 [363]

Answer:

I think its D)

Step-by-step explanation:

7x−3y+2=0

Add -7x to both sides.

7x−3y+2+−7x=0+−7x

−3y+2=−7x

Add -2 to both sides.

−3y+2+−2=−7x+−2

−3y=−7x−2

Divide both sides by -3.

−3y /−3  =  −7x−2 /−3

which equals d)

I also use this app to convert equations to slope-intercept and it showed me this

8 0
2 years ago
Which of the following is a solution to the equation −25x = 10?
blagie [28]

Answer: x=-0.4

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The measure of angle A is 15°, and the length of side BC is 8. What are the lengths of the other two sides, rounded to the neare
    7·2 answers
  • A water tank is 5/8 full. It needs 330 Litres to fill it. What will the tank hold when full? ​
    9·1 answer
  • What is the domain of this function. (Could someone explain it too? I wanna be able to do it myself as well)
    12·1 answer
  • A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i
    13·1 answer
  • One forth of a number is -60​
    13·1 answer
  • Trevor measured the town library and made a scale drawing. In real life, the parking lot is 75 meters long. It is 135 centimeter
    15·1 answer
  • The price of cupcakes is $7 more than the price of a cake, which is d dollars.what does the expression d+7 represent?
    14·1 answer
  • Using Cramer’s rule, what is the value of x in the solution to the system of linear equations below?
    9·1 answer
  • 0. ALGEBRA Jane Able is paid $14.85 an hour for a regular
    14·1 answer
  • What is the result of converting 14 in into centimeters
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!