Help pls show work if needed

Answer:

Step-by-step explanation:

1)

Given that:

The joint pmf  [tex]p_{X,Y(a,b)}=\left \{ {{\dfrac{1}{4a} \ for \ 1 \le b \le a \le 4 } \\ \\ \atop {0} \ \ \ \ \ \ otherwise} } \right.[/tex]

To emphasize that this is a joint pmf;

We will notice that it obeys two conditions;

Except that X and Y are integer value variables with 1 ≤ b ≤ a ≤ 4 and X = 1, 2, 3, 4 and Y = 1, 2, 3, 4 respectively, according to the condition Y ≤ X

The  table below shows the joint probabilities as a result of this:

              y = 1         y = 2        y = 1         y = 4          Total

x = 1          [tex]\dfrac{1}{4}[/tex]             0                0             0               [tex]\dfrac{1}{4}[/tex]

x = 2         [tex]\dfrac{1}{8}[/tex]             [tex]\dfrac{1}{8}[/tex]                 0             0               [tex]\dfrac{1}{4}[/tex]

x = 3        [tex]\dfrac{1}{12}[/tex]           [tex]\dfrac{1}{12}[/tex]               [tex]\dfrac{1}{12}[/tex]              0              [tex]\dfrac{1}{4}[/tex]  

x = 4        [tex]\dfrac{1}{16}[/tex]           [tex]\dfrac{1}{16}[/tex]               [tex]\dfrac{1}{16}[/tex]              [tex]\dfrac{1}{16}[/tex]             [tex]\dfrac{1}{4}[/tex]

Total       [tex]\dfrac{25}{48}[/tex]            [tex]\dfrac{13}{48}[/tex]             [tex]\dfrac{7}{48}[/tex]                 [tex]\dfrac{3}{48}[/tex]           1

In the table, it is obvious that each respective value of the probability is positive and the addition of all the values sums up to unity (1).

Hence, the given probability shows that it is indeed a pmf(probability mass function).

(b)

Marginal Pmf of x = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{y}[/tex]

Marginal Pmf of y =  [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{x}[/tex]

Thus, we can locate the respective values of the marginal probability in the last row as well as the last column in the explained table above.

(c)

To find P(X=Y+1):

P(X = Y + 1) = P(X = 2,3,4)

⇒ 1 - P(X=1)

[tex]\implies 1 - \dfrac{1}{4} \\ \\ \implies \dfrac{4-1}{4} \\ \\ \implies \dfrac{3}{4}[/tex]

Answer:

5)isosceles triangle 6)scalene triangle 7)equilateral triangle

plzzzzzzz mark me brainliest plzzzzzzzark request to you

Answer:

.

Step-by-step explanation:

Answer:

believe it is "the median is 82."

Step-by-step explanation:

55,66,82,89,90,92

there are 6 numbers so in order to find the median here you would have to add 82 and 89 together and then divide by 2.

82+89=171

171/2=85.5

hence "the median is 82." is the right answer

Answer:

y = 0.0807x - 3.4286

Step-by-step explanation:

Given the data above :

X :

1400

1700

1500

Y:

108

133

120

Using a linear regression calculator, the regression equation obtained is :

y = 0.0807x - 3.4286

Slope = 0.0807

Intercept = - 3.4286

x = predictor variable

y = predicted variable

Answer:

2/5

Step-by-step explanation:

40% = 40/100 = 20/50 = 2/5

Answer:

X x 31.25 = D (Dollars)

I don't understand it sorry

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function 'f' in the interval x = a and x = b is given by,

Average rate of change of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Given function is,

g(x) = [tex]\frac{5}{x-1}+2[/tex]

We have to calculate the rate of change in the interval [-4, 3],

Average rate of change = [tex]\frac{g(3)-g(-4)}{3-(-4)}[/tex]

g(3) = [tex]\frac{5}{3-1}+1[/tex]

       = 2.5 + 1

       = 3.5

g(-4) = [tex]\frac{5}{-4-1}+1[/tex]

       = -1 + 1

       = 0

Average rate of change = [tex]\frac{3.5-0}{3+4}[/tex]

                                        = [tex]\frac{3.5}{7}[/tex]

                                        = [tex]\frac{1}{2}[/tex]

Therefore, Option B will be the answer.

Answer:

B

Step-by-step explanation:

Edmentum

Answer:

Not enough information

Step-by-step explanation:

Unless this is a square, you don't have enough information to answer this question. It would be 14 * 14 if it was a square which would be 196.

Answer:

B. f(x) = 4x² + 2

Step-by-step explanation:

f(x) = 4 (x - 0)² + 2

vertex: (0 , 2) with vertical stretch

9514 1404 393

Answer:

  x = 9π/62

Step-by-step explanation:

We can make use of the fact that ...

  sin(x) = cos(π/2 -x)

Then ...

  π/2 -x = 11π/31

  π(1/2 -11/31) = x = 9π/62

l=36in

width = 12in

there's ur answer

Answer:

8,560

Step-by-step explanation:

8000 x .02 interest/year x 3.5years=560 interest earned

8000+560=8,560 investment worth after 3.5 years

Answer:

x<8

Step-by-step explanation:

-2x+20>4

-2x>-16

x<8

Answer:

[tex]x<8[/tex]

Step-by-step explanation:

[tex]-2x+20>4[/tex]

Subtract 20 from both sides

[tex]-2x+20-20>4-20[/tex]

Simplify

[tex]-2x>-16[/tex]

Multiply both sides by -1 (reverse the inequality)

[tex](-2x)(-1)<(-16)(-1)[/tex]

Simplify

[tex]2x<16[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} <\frac{16}{2}[/tex]

Simplify

[tex]x<8[/tex]

Answer:

D trapezoid

Step-by-step explanation:

i used the graphing demos

Answer:

It is not a polynomial function, because it includes a negative exponent.

Answer:

Step-by-step explanation:

Leading coefficient = 9

It is in standard form.

It is degree 4

It is a polynomial (I don't think there is a special name for degree 4). Time to eat crow. A 4th degree Polynomial is a quartic.

I didn't notice the power is -2. I am incorrect in telling you it was a polynomial (function). As I noted below, more crow to eat. Please give the Brainliest to the other responder

Answer:

PQ = 11

Step-by-step explanation:

Area of trapezium = ½(a + b)h

Where,

Area (A) = 196 m²

a = RS = 17 m

b = PQ

h = PT = 14 m

Let's find PQ. Substitute the known values into the formula:

196 = ½(17 + PQ)*14

196 = (17 + PQ)*7

196 = 119 + 7PQ

196 - 119 = 7PQ

77 = 7PQ

77/7 = 7PQ/7

11 = PQ

PQ = 11

Answer:

APPRECIATION ON FIXED ASSETS

The value of asset increases due to inflation. Increase value of assets is added with related asset. It is also recorded in credit side of profit and loss account.

Answer:

Utiliza la regla

Step-by-step explanation:

Y te sacarasb10

Answer:

A = arcTan(8/15) = 0.4900 radians = 28.07°

Step-by-step explanation:

Tan(A) = 8/15

A = arcTan(8/15) = 0.4900 radians = 28.07°

Answer:

Step-by-step explanation:

8x+9/x^2-13x+42

Write  8 x  as a fraction with denominator 1

8x+9/x^2-13x+42

then we multipuly 8x/1  by x^2/x^2

Answer:

As both the standard deviation and the mean have the desired values, the tool passes the technical control.

Step-by-step explanation:

Mean:

The mean is the sum of all values divided by the number of values.

[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]

The mean is in the desired range.

Standard deviation:

The standard deviation is the square root of the sum of the difference squared between each value and the mean, divided by the number of values.

[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]

As both the standard deviation and the mean have the desired values, the tool passes the technical control.

Answer:

108ft²

Step-by-step explanation:

6×6=36

12×12=144

144-36=108ft for the shaded part

Answer:

108 ft²

Step-by-step explanation:

12 ft × 12 ft

144 ft²

6 ft × 6 ft

36 ft²

144 ft² - 36 ft²

108 ft²

Answer:

answer: 16

because 16/20 is an equivalent fraction to 4/5 hope that helps!

Answer:

Both of these values don't have asymptotes.

Answer:

Both of these values don't have asymptotes.