Why does pi to trillions of places still not have a precisely even distribution of each digit?
No answer needed!

Answer:

Step-by-step explanation:

From the given information:

Let X be the random variable;

The mean survival time is E(X):

E(X) = μ

E(X) = ∝β

E(X) = 5 × 10

E(X) = 50

To find the standard deviation, we must first determine the variance:

[tex]V(X) = \sigma ^2[/tex]

[tex]V(X) = \alpha \beta ^2[/tex]

[tex]V(X) = 5 \times (10)^2[/tex]

[tex]V(X) = 5 \times 100[/tex]

[tex]V(X) = 500[/tex]

The standard deviation is:

[tex]\sigma =\sqrt{V(X)}[/tex]

[tex]\sigma =\sqrt{500}[/tex]

[tex]\sigma =22.361[/tex]

The standard deviation of survival time = 22.361

(c)

P(X>30) = 1 - P(X ≤ 30)

[tex]= 1 - \int \limits ^{30}_{0} \ f(x) \ dx[/tex]

[tex]= 1 - \int \limits ^{30}_{0} \dfrac{1}{\beta^{\alpha} \Gamma \alpha }x^{a-1} e ^{-x/\beta } \ dx[/tex]

[tex]= 1 - \int \limits ^{30}_{0} \dfrac{1}{\beta^{\alpha} \Gamma (5)}x^{5-1} e ^{-x/10 } \ dx --- (1)[/tex]

So, if:

[tex]y = \dfrac{x}{10}[/tex]

[tex]dy = \dfrac{dx}{10}[/tex]

10dy = dx

and limits of y are 0 and 3.

because;

for x = 0

[tex]y = \dfrac{0}{\beta}[/tex]

y = 0

For x = 30

[tex]y = \dfrac{30}{10}[/tex]

y = 10

From (1);

[tex]P(X> 30) = 1 - \int \limits ^{30}_{0} \dfrac{1}{\beta^{\alpha} \Gamma (5)}x^{5-1} e ^{-x/10 } \ dx[/tex]

[tex]P(X> 30) = 1 - \int \limits ^{3}_{0} \dfrac{(10y)^4}{10^{5} \Gamma (5)}e ^{-y } \ dy[/tex]   since y = x/β

[tex]P(X> 30) = 1 - \int \limits ^{3}_{0} \dfrac{10^4 y^4 \ e^{-y} }{10^{4} \Gamma (5)} \ dy[/tex]

[tex]P(X> 30) = 1 - \int \limits ^{3}_{0} \dfrac{y^4 \ e^{-y} }{ \Gamma (5)} \ dy[/tex]

Since;

[tex]F(a, \alpha )= \int \limits ^a_0 \dfrac{y^{a-1}e^{-y}}{\Gamma (\alpha )} dy[/tex]

Then;

P(X> 30) = 1 - F(3,5)

From the table of incomplete gamma function;

P(X > 30) = 1 - 0.185

P(X > 30) = 0.815

Thus, the probability that an animal survives more than 30 weeks is 0.815

a)The mean survival time of a randomly selected animal of the type used in the experiment is 50.

b)Standard deviation of survival time is 22.36

The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance.

Suppose x is the random variable.

It is given that α= 5 and β=10.

So, the mean survival E(x)=α β

The mean survival E(x) =5*10

The mean survival E(x) =50

We know that Variance =α β²

So, Variance = 5*10²

Variance =500

We know that standard deviation σ = √Variance

σ = √500

σ = 22.36

Therefore, a)the mean survival time of a randomly selected animal of the type used in the experiment is 50.

b)Standard deviation of survival time is 22.36

To get more about standard deviation visit:

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The standard deviation is:

The standard deviation of survival time = 22.361

Answer:

uhhhhh 3

Step-by-step explanation:

Step-by-step explanation: I know, hardest question known to man.

Answer:

I hoped that helped

Answer:

3.46410162 i

Step-by-step explanation:

The i is for imaginary because you cannot take the square of a negative number. Hope this helps

Answer:

Step-by-step explanation:

f(x)= -2x-4

when x= -1

f(-1)= -2*(-1) -4= 2-4= -2

when x=4

f(4)= -2*4 -4 = -8-4 = -12

Answer:

I think it's C and E and A

Answer:

65.37 isn't an estimated price, it's an exact price....

Answer:

65.37 because the ? asked 65.37 in the ? so the wrong answer is 65.37

Step-by-step explanation:

ten crore is answer for India system

Step-by-step explanation:

hundred million is answer for international system

Answer: least : -1/4 middle: -0.15 greatest: -0.6

if it’s incorrect change places with the 1/4 or 0.15

the answer is -0.6, -1/4, -0.15

Answer:

Step-by-step explanation:

1 loaf = 8 eggs

32 loaves will need 32*8 eggs or 256 eggs

Answer:

(-1,-2)

Step-by-step explanation:

Answer:

Click on the flag icon next to the question & report it with a reason.

Step-by-step explanation: Hope this helped your question, and I hope you would click on the crown icon next to my answer/ please give me the brainliest if you like.

Answer:

You have to go to their accc and then press the 3 dots and select report. Finally write the reason and done.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

the answer is 10,000

Step-by-step explanation:

thats what i put on the test and got it right

Answer:

d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

point

Step-by-step explanation:

Answer:

coordinate plane

Step-by-step explanation:

Answer:

An equation that has a negative slope and a y intercept if the slope is negative and the intersection point is negative.

Step-by-step explanation: Example Y=-3x-4(negative

Posotive=Y=3x+4

Answer:

x = 5

Step-by-step explanation:

3x + 2 = 5x - 8

-3x         -3x

        2 = 2x - 8

     + 8         + 8

       10 = 2x

     ÷ 2  ÷ 2

         5 = x

Answer:

Option C is correct.........

Answer:

a

Step-by-step explanation:

edge

The value of B is 16.

The correct option is B

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

The standard equation for a hyperbola centered at the origin is:

(x²)/(a²) - (y²)/(b²) = 1

where "a" and "b" are the lengths of the transverse and conjugate axes, respectively. To find the value of "b" for the given hyperbola equation, we need to first rewrite it in the standard form.

(x²)/(24²) - (y²)/(b²) = 1

Multiplying both sides by (24²)(b²), we get:

b²(x²) - (24²)(y²) = (24²)(b²)

Dividing both sides by (24²), we get:

b²(x²)/(24²) - y² = b²

Comparing this with the standard equation, we can see that a = 24 and b is the square root of the constant term, which is b² = 576. Therefore, b = 24.

However, the given directrix of x = 576/26 is not consistent with the equation of the hyperbola. The directrix for a hyperbola with center at the origin and transverse axis along the x-axis is given by x = a²/b. Using the value of a = 24, we can find the directrix as:

x = (24²)/b

Setting this equal to 576/26, we get:

(24²)/b = 576/26

Solving for b, we get:

b = 16

Therefore, the correct answer is (B) 16.

To learn more about the quadratic equation;

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Answer:

Amount of chemical solution = 18 gallon

Amount of pure water = 22 gallon

Step-by-step explanation:

Assume;

20% of solution = x

So,

Amount of pure water = 40 gallons - x

Amount of pure water = 40 - x

Computation:

20% of x = 9% of 40 gallon

0.2 x = 3.6

x = 3.6 / 0.2

x = 18 gallon

So,

Amount of chemical solution = 18 gallon

Amount of pure water = Total solution - Amount of chemical solution

Amount of pure water = 40 -18

Amount of pure water = 22 gallon

Answer:

63 - 43 = 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

63-43= 20

Answer:

Step-by-step explanation:

1.- 0.40

2.- 0.39

En Byler's

Answer:

Need the radius if you are finding the exact arch length. but if angle, X is 15 so just sub it in.