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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
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What are the values of x in this equation x^4+12×=4×^2+3×^3
ANTONII [103]
By factorising I got these solutions
X = 0
X = 2
X = - 2
X = 3
4 0
3 years ago
At 3 P.M, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is
klemol [59]
 <span>Starting position: 

Let B start at origin(O) & A is at (-150 ,0) ie 150 km west of the origin . At 3pm , t= 0 
A is changing its position at ( 150-35t) km/h 
& B is changing its position at 25t km/h 

Therefore 

AB^2 = OA^2 + OB^2 /// Pythagoras Theorem 
= (150-35t)^2 + ( 25t)^2 
= 22 500 - 10 500 t + 1225t^2 +625t^2 
= 22 500 - 10 500t + 1850t^2 
AB = ( 22 500 - 10 500t + 1850t^2)^1/2 

d (AB) /dt = 1/2 * ( 22 500 - 10 500t + 1850t^2)^-1/2 * ( - 10 500 + 3700t) 
= ( - 5250 + 1850t) / ( 22 500 - 10 500t + 1850t^2)^1/2 

At 3pm , t=0 
At 7pm , t= 4 

So d (AB) /dt = ( -5250 + 1850*4) / ( 22500 - 10500*4 + 1850*4^2)^1/2 
= 2150 / 100.5 
= 21.4 km/hr

</span>The distance between the ships changing at 7 P.M. is with a speed of 21.4 km/hr.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
3 0
3 years ago
Help me guys (10 points)
allsm [11]

Answer:

A

Step-by-step explanation:

You could raise 1 ^ 1000000 and the answer would still be 1.

Ogetchi is wrong.

Bernardo is right

a1 = 1

r = 8

Each term is 8 times the number before it. 8*8 = 64 ; 8*64 = 512

A

4 0
3 years ago
Find the value of the variable for 5, 6
Scilla [17]

Answer:

Step-by-step explanation:

for question 5 )  

we know that  x-5 = 6   because I'm pretty sure outside of the question we are told that the rectangles  are similar and therefore,  we can say the above

x-5 = 6

add 5 to both side

x = 11

for question 6)

30 is  \frac{5}{6} of 36, so use that on the remaining given side

 \frac{5}{6} * 15 = 12.5

then thats what the other side of the bigger shape is

12.5 = x + 6

minus 6 from both sides

6.5 = x

by the way,  notice that they have used a variable "x" for both 5 & 6 which is named the same but has a different value  in each problem.  X is the name of the variable for each problem, but doesn't have any meaning once outside of each of the problems.  It's just confusing to use the same named variable at times.  something like xy   and xz ,  might have been better names.    anyway  :)

7 0
3 years ago
Factor this expression completely. 17x − 51y − 17 A) −17(x − 3y − 1) B) 17(x − 3y + 1) C) 17(x − 3y − 1) D) 17(x − 3y − 2)
adelina 88 [10]
The correct answer is C.
7 0
3 years ago
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