State the domain of each function.<br> F(x)= 3x/x^2-5

Kobotan [32]

A.
$\mathbb P(X>6)=\mathbb P(X=7)+\mathbb P(X=8)+\mathbb P(X=9)$
$=\dbinom97(0.4)^7(1-0.4)^{9-7}+\dbinom98(0.4)^8(1-0.4)^{9-8}+\dbinom99(0.4)^9(1-0.4)^{9-9}$
$\approx0.025$

b.
$\mathbb P(X\ge2)=1-\mathbb P(X$
$=1-\dbinom90(0.4)^0(1-0.4)^{9-0}-\dbinom91(0.4)^1(1-0.4)^{9-1}$
$\approx0.929$

c.
$\mathbb P(2\le X$
$=\dbinom92(0.4)^2(1-0.4)^{9-2}+\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}$
$\approx0.663$

d.
$\mathbb P(2$
$=\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}+\dbinom95(0.4)^5(1-0.4)^{9-5}$
$\approx0.669$

e.
$\mathbb P(X=0)=\dbinom90(0.4)^0(1-0.4)^{9-0}\approx0.01$

f.
$\mathbb P(X=7)=\dbinom97(0.4)^7(1-0.4)^{9-7}\approx0.021$

g, h.
For $X\sim\mathcal B(n,p)$ , recall that $\mathbb 
E[X]=\mu_X=np$ and $\mathbb V[X]={\sigma_X}^2=np(1-p)$ . So

$\mu_X=9(0.4)=3.6$
${\sigma_X}^2=9(0.4)(0.6)=2.16$

6 0

3 years ago

For what value of x is line m parallel to line n?

kogti [31]

Answer:

$x=10$

Step-by-step explanation:

Here, we can use an angle rule.

We see that angles $(8x+50)$ ° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.

This means we can use the rule:

Corresponding angles are equal.

This means that:

$8x + 50 = 130$

We can now use this equation we have formed to solve for $x$ :

$8x + 50 = 130\\8x = 80\\x = 10$

Therefore, our final answer is $x=10$ .

3 0

2 years ago

Which equation is the inverse of y = 100 – x2?

slavikrds [6]

I am so sorry I’m not too sure on answering this question

3 0

3 years ago

Sorting Quadratic Function Discriminants

nataly862011 [7]

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

discriminant = 0: 1 Real number solution.

discriminant = -36: 0 Real number solutions.

discriminant = 3: 2 Real number solutions.

discriminant = 2: 2 Real number solutions.

discriminant = 100: 2 Real number solutions.

discriminant = -4: 0 Real number solutions.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , it has 2 real solutions.

If $\mathbf{\Delta = 0}$ , it has 1 real solutions.

If $\mathbf{\Delta < 0}$ , it has 0 real solutions.

Hence, for the given values of the discriminant, we have that:

discriminant = 0: 1 Real number solution.

discriminant = -36: 0 Real number solutions.

discriminant = 3: 2 Real number solutions.

discriminant = 2: 2 Real number solutions.

discriminant = 100: 2 Real number solutions.

discriminant = -4: 0 Real number solutions.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

5 0

1 year ago

Determine the slope of the following graph.

evablogger [386]

Answer:

2/1 or 2

Step-by-step explanation:

if you find a spot were the line is line up with the boxes in the graph like at (-2,0) up 2 and right one you will see the line is lined up again and since slope is rise/run its 2/1 or 2

4 0

3 years ago

State the domain of each function. F(x)= 3x/x^2-5