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kykrilka [37]
3 years ago
13

Suppose you have a random variable that is uniformly distributed between 1 and 29. what is the expected value for this random va

riable?
Mathematics
1 answer:
Kryger [21]3 years ago
3 0
Assuming the distribution is continuous, you have

\mathbb E(X)=\displaystyle\int_1^{29}\frac x{29-1}\,\mathrm dx=\dfrac1{28}\int_1^{29}x\,\mathrm dx=15

If instead the distribution is discrete, the value will depend on how the interval of number between 1 and 29 are chosen - are they integers? evenly spaced rationals? etc
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Evaluate the expression 2x+6 if x = 4
JulijaS [17]
2(4)+6
8+6
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3 years ago
An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to
iris [78.8K]

Answer: BC=14.8

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

sin\alpha =\frac{opposite}{hypotenuse}

In this case, you can identify that:

\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24

Substituting values, and solving for "x", you get:

sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416

Therefore, the length of BC rounded to nearest tenth, is:

BC=2(7.416)=14.8

6 0
3 years ago
What's the value of x y z
lions [1.4K]
They are algebraic symbols or known as unknown number. There is no true value for them. The value of algebraic symbols are based on equations

ie. 1+x = 2

First, we isolate the x by canceling the +1 FROM BOTH SIDES(Balance method) by -1 ON BOTH SIDES.

1+x-1 = 2-1

So we are left with the x on the left side, and a single number on the right side. Therefore, our calculation is complete.

x = 1


More complex cases would be

2y-3 = 45

First, we need to isolate the algebraic symbol, which is 2y (yx2) by +3 ON BOTH SIDES

2y-3+3 = 45+3

2y = 48

WE ARE NOT DONE! 2y=48 is still an equation. Therefore, to isolate the y, we need to divide BOTH SIDES by 2

2y/2 = 48/2

y = 24

There is no true or absolute or definite value for algebraic symbols like x,y,z,a,c,t,h,d etc. They are used to represent unknown numbers.


Hope this helped!
8 0
3 years ago
(2x^3 - 2x^2) Divide or subtract exponents ?
Agata [3.3K]

Answer:

Neither.

Step-by-step explanation:

You can only add exponents when multiple, or subtract when dividing.

Also, 2x^3 and 2x^2 are two different terms, not like terms, so cannot subtract the two.

6 0
3 years ago
Plz help me well mark brainliest if correct!!...
Nata [24]
Answer:
a) 103

explanation:
it occurred the most in the stem & leaf plot (3 times)
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