what is the greatest digit formed by 5 6 7 8 and 9​

Given the PMF

[tex]P(X=x) = \begin{cases} 0.3 & \text{if } x \in \{-1, 2\} \\ 0.1 & \text{if } x \in \{0, 7\} \\ 0.2 & \text{if } x = 6 \\ 0 & \text{otherwise} \end{cases}[/tex]

(a)

[tex]P(-1 < X \le 2) = P(X = 0) + P(X = 2) = 0.1 + 0.3 = \boxed{0.4}[/tex]

(b) The CDF is defined as [tex]F_X(x) = P(X \le x)[/tex], so that

[tex]F_X(x) = \begin{cases} 0 & \text{if } x < -1 \\ 0.3 & \text{if } -1 \le x < 0 \\ 0.4 & \text{if } 0 \le x < 2 \\ 0.7 & \text{if } 2 \le x < 6 \\ 0.9 & \text{if } 6 \le x < 7 \\ 1 & \text{if } x \ge 7 \end{cases}[/tex]

It follows that

[tex]F(3.2) = \boxed{0.7}[/tex]

(c) Expectation is defined as

[tex]E[X] = \displaystyle \sum_x x\,P(X=x)[/tex]

We have

[tex]E[X] = \displaystyle \sum_{x\in\{-1,0,2,6,7\}} x\,P(X=x) \\\\ E[X] = -P(X=-1) + 2P(X=2)+6P(X=6)+7P(X=7) \\\\ E[X] = -0.3 + 0.6 + 1.2 + 0.7 = \boxed{2.2}[/tex]

(d) First compute the second moment of X, which is defined as

[tex]E[X^2] = \displaystyle \sum_x x^2\,P(X=x)[/tex]

We get

[tex]E[X^2] = (-1)^2P(X=-1) + 2^2P(X=2) + 6^2P(X=6) + 7^2P(X=7) \\\\ E[X^2] = 0.3 + 1.2 + 7.2 + 4.9 = 13.6[/tex]

Variance is defined as

[tex]\mathrm{Var}[X] = E[(X - E[X])^2] = E[X^2] - E[X]^2[/tex]

so it follows that

[tex]\mathrm{Var}[X] = 13.6 - 2.2^2 = \boxed{8.76}[/tex]

(e) Not sure what this part has to do with the rest of the question. At any rate, if Y is a random variable following a Poisson distribution with λ = 3, then Y has a PDF of

[tex]P(Y=y) = \begin{cases}\dfrac{e^{-3}\times3^y}{y!}&\text{if }y\in\{0,1,2,\ldots\}\\\\0&\text{otherwise}\end{cases}[/tex]

Then

[tex]P(Y > 5) = 1 - P(Y \le 5) = 1 - P(Y=0) - P(Y=1) - \cdots - P(Y=5) \\\\ P(Y>5) = \dfrac{5e^3-92}{5e^3} \approx \boxed{0.0839}[/tex]

Answer:

yes it is a dilation

Step-by-step explanation:

a dilation makes the size different but shape the same. as we can see the shape is the same meaning this is a non rigid motion or called a dilation.

Answer:

24.64

Method:

You get 10% of the shirt cost, and it on to the 22.40

Midpoint has coordinates [tex](x_m,y_m)[/tex] which equal to,

[tex]x_m=\frac{x_1+x_2}{2}[/tex]

[tex]y_m=\frac{y_1+y_2}{2}[/tex]

We know the coordinates of a midpoint as well as the coordinates of [tex]A(x_1,y_1)[/tex] so we should be able to find coordinates of [tex]B(x_2,y_2)[/tex].

First solve both equations for [tex]x_2[/tex] and [tex]y_2[/tex] respectively,

[tex]x_2=2x_m-x_1[/tex]

[tex]y_2=2y_m-y_1[/tex]

Now insert the data,

[tex]x_2=2\cdot1-(-3)=\boxed{5}[/tex]

[tex]y_2=2\cdot2-6=\boxed{-2}[/tex]

The coordinates of B are therefore [tex](5,-2)[/tex].

Hope this helps :)

The midpoint of AB is (1, 2) the coordinates of A are (-3,6) coordinates of B coordinates of point B are (5, -2).

To find the coordinates of point B given that the midpoint of AB is (1, 2) and the coordinates of A are (-3, 6),  use the midpoint formula:

Midpoint formula: M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Given that M is the midpoint (1, 2) and A is (-3, 6), we have:

(1, 2) = ((-3 + x2) / 2, (6 + y2) / 2)

Solve for x2 and y2:

For x-coordinate:

1 = (-3 + x2) / 2

2 = -3 + x2

x2 = 2 + 3

x2 = 5

For y-coordinate:

2 = (6 + y2) / 2

4 = 6 + y2

y2 = 4 - 6

y2 = -2

To know more about coordinates here

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Answer:

5/12

Step-by-step explanation:

Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].

hope this helps!

Answer:

tan 76 = 24/8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 76 = 24/8

Answer:

it must be 2983548×2............

The relative frequency of tails in the experiment is 0.44

In a coin flip; the outcome is either a Head(H) or Tail(T)

Since;

Total number of flips = 50

Number of heads = 28

Number of tails = 50 - 28 = 22

Recall :

Relative frequency = Number of preferred outcome / Total frequency

Hence, the relative frequency of tail will be :

Number of tails / total number of flips = 22 / 50 = 0.44

Therefore, the relative frequency of tails in the experiment is 0.44

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Here we have a problem of relative frequency.

We do know that if you perform a given experiment N times (flipping the coin in this case), and a given outcome happens n times, the relative frequency of that event is:

rf = n/N

With this, we will find that the relative frequency of tails is 0.44

We do know that:

The experiment was performed 50 times, then N = 50

The coin came up heads 28 times.

Then the other 22 times the coin came up tails.

We want to get the relative frequency of tails in this experiment, then we have n = 22

Using the general formula, we can see that:

rf = n/N = 22/50 = 0.44

The relative frequency of tails in this experiment is 0.44

If you want to learn more, you can read:

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Answer:

2/5

Step-by-step explanation:

Use the formula for slope to solve [ y2-y1/x2-x1 ].

7-5/9-4

2/5

Best of Luck!

Answer:

y=10

Step-by-step explanation:

y/5+7=9

y/5=9-7

y/5=2

y=2*5

y=10

Answer:

6x-8

Step-by-step explanation:

less  than means it comes after

product of 6 and a number x

6x

8 less than

6x-8

Answer:

(5,7.5)

Step-by-step explanation:

Hope this helps (:

Answer:

Step-by-step explanations

I don’t know

Answer:

Here is your answer. Hope this helps you!

Answer:

22/12

Step-by-step explanation:

98-8x=14+12(2-5x)

98-8x=14+24-60x

-8x +60x=10-9

52x=88

x=22/13

Answer:

(I got your back pal) Your answer is -41/21

Can you give me a brainlest it would help me a lot

Answer:

X =  1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

Answer:

[tex]3(2x - 1) = 1 \div 2(4x - 2) + 2 \\ 3 \times 2x - 3 \times 1 = .5 \times 4x - .5 \times 2 + 2 \\ 6x - 3 = 2x - 1 + 2 \\ x \: togather \\ 6x - 2x = - 1 + 2 + 3 \\ 4x = 4 \\ x = 4 \div 4 \\ x = 1[/tex]

Answer:

one side is 137/4 and other is 3/4

Step-by-step explanation:

all steps are in picture

Answer:

The unknown number is 2.

Step-by-step explanation:

Let x represent the unknown number.

It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:

[tex]9x + 3[/tex]

The sum is equal to the product of 3 and 7, or 21. Therefore:

[tex]9x + 3 = 21[/tex]

Solve for x. Subtract 3 from both sides:

[tex]9x = 18[/tex]

And divide both sides by 2. Hence:

[tex]x = 2[/tex]

In conclusion, the unknown number is 2.

Answer:

x=-14

Step-by-step explanation:

Answer:

for the mean you have to do formula efx/n other i dont know

Answer:

2yz/x

Step-by-step explanation:

Given: z/4=x/y

Let's isolate 4 since 8=4(2) which means after isolating 4 we just need to multiply that resulting equation by 2.

Cross multiply:

zy=4x

Divide both sides by x:

zy/x=4

Multiply both sides by 2:

2zy/x=8

9514 1404 393

Answer:

  g(f(7/3)) = 4 4/9

Step-by-step explanation:

  g(f(7/3)) = g((7/3)²) = g(49/9) = 49/9 -1 = 40/9

  g(f(7/3)) = 4 4/9

Answer:

Step-by-step explanation:

Bonjour,

2^4 * 7^3 => 16* 343 = 5488

21 952 / 5 488 =4

115 248/5 488 =  21

9514 1404 393

Answer:

  2⁴·7³

Step-by-step explanation:

The set of primes that are factors of 21952 is {2, 7}.

The set of primes that are factors of 115248 is {2, 3, 7}.

Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.

The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.

The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.

So, the Highest Common Factor of the two numbers is 2⁴·7³.

Answer:

f(x) = (x + 3)(x − 3)(x − 1)

Step-by-step explanation:

The roots are at -3, -1 and 3 therefore the 3rd option is correct.

Answer:

The answer is D

Step-by-step explanation:

Attatched photo for proof

Answer:

Blue = y+2 = 3

Red = y+2x = 3

Step-by-step explanation:

Answer associative

Step-by-step explanation:

20×2×÷

2920w0#

393020×22¥3¥

3i839393

Answer:

if we join the angle Z the it will formed as acute angle

if you like ans hit like

thank you