The governments in two countries, Statland and Statopia, are proposing to change their national currencies to the Statto. The proportion of support for such a change within the population in Statland and Statopia are modelled by random variables X and Y respectively. It is thought that the joint density function for the two variables is of the formf(x,y)=(2/5)*(2x+3y) for 0f(x,y)=0 elsewherePart b) the probability that changing to the Statto has the support of more than half the population in each country. 15/30Part c) the marginal density of the support for the Statto in Statland evaluated at the point X=1/2. is 1Part d) the marginal density of the support for the Statto in Statland evaluated at the point Y=1/2. is 1Part e) Find the conditional density of the support for the Statto in Statland given the support of a third of the population in Statopia. Evaluate this density at the point X=1/2

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

= 2a2 + 4a + 13

Answer:

see explanation

Step-by-step explanation:

Substitute the value of x into y = x² and y = [tex]2^{x}[/tex]

x = 1

y = 1² = 1 and y = [tex]2^{1}[/tex] = 2

x = 2

y = 2² = 4 and y = 2² = 4

Thus

x      y = x²      y = [tex]2^{x}[/tex]

-----------------------------

0        0            1

1          1             2

2         4            4

Answer:

If you don't water your plants and give them sun light they will slowly start to decay.

The growth of how my sister grew this year is incredible she used to be super short.

Step-by-step explanation:

Answer:

The total number of cubes in the rectangular prism are 1,120 cubes

Step-by-step explanation:

The given parameters are;

The dimensions of the rectangular prism block of wood = (n + 5), (n + 8), and (n + 14)

The volume of the block of wood = (n + 5)×(n + 8)×(n + 14) = n³ + 27·n² + 222·n + 560

The quantity of the 1  cm cubes that have no paint = 1/2 of the total quantity = 1/2 the volume of the original cube

The cubes that have paint on them are the surface cubes, we have;

One layer of cube is removed from each of the eight sides, therefore, we have the dimensions of the cube rectangular prism that have no paint on them given as (n + 5 - 2), (n + 8 - 2), and (n + 14 - 2), which gives the dimensions as (n + 3), (n + 6), and (n + 12);

Therefore, we have

2 × (n + 3)×(n + 6)×(n + 12) = (n + 5)×(n + 8)×(n + 14)

2 × (n + 3)×(n + 6)×(n + 12) - (n + 5)×(n + 8)×(n + 14) = 0  

Which gives;

n³ + 15·n² + 30·n - 128 = 0

n = 2

n = -17/2 - √(33)/2 = -5.6277

n = √(33)/2 - 17/2 = -11.3722

Therefore, given that the smallest dimension of the painted prism = (n + 5), the possible value for n = 2

The volume of the rectangular prism = (n + 5) × (n + 8) × (n + 14) = (2 + 5) × (2 + 8) × (2 + 14) = 1120 cm³

Given that the cuts are 1 cm³ each, the total number of cubes in 1,120 cm³ = 1,120 cubes.

Step-by-step explanation:

hope it helps you

i think your question was this only

Answer:

8x -16y = 24

Step-by-step explanation:

8x - 16y= -14

A parallel line (i.e. same slope) will be: 8x - 16y= c

We have to find the value of "c".

If it passes through (x, y) = (3, 0) ⇒ 24 - 0 =  c,

so equation is 8x -16y = 24

Answer:

y=1.50x+3.25

Step-by-step explanation:

Answer:

vvvvvvvvvvvvvvvvvvvvvv is equal to 65654

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think

Answer: D and B

Step-by-step explanation:

The range (answered by D) is only the multiples of 15 between 0 and 60 as it is impossible to pay an amount different than the correct inclinations of 1/15 per candy. For example, it is impossible to pay 12.345421 dollars for a candy.

A similar solution applies for the domain. Only integers(whole numbers) are valid as you cannot buy 1.2862 of a candy.

Hope this helps.

Answer:

Step-by-step explanation:

The gradient of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{ - 6 - - 2}{0 - 2} = \frac{ - 6 + 2}{ - 2} = \frac{ - 4}{ - 2} = 2 \\ [/tex]

We have the final answer as

Hope this helps you

So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)

Answer:

a. 457 pixels b. 229 pixels c. 114 pixels

Step-by-step explanation:

a. Using d = √[(x₂ - x₁)² + (y₂ - y₁)²] to find the distance apart of the coordinates (x₁, y₁) and (x₂, y₂) where (x₁, y₁) = (36, 315) and (x₂, y₂) = (410, 53).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(410 - 36)² + (53 - 315)²]

= √[374² + 262²]

= √[139,876 + 68,644]

= √208,520

= 456.64

= 457 pixels to the nearest pixel.

b. Since the players are d' distance apart, and moving at a same speed of v, if they approach each other, they meet at time t. So player A covers a distance of d = vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when vt = d' - vt.

Solving this, we have

vt = d' - vt

vt + vt = d'

2vt = d'

t = d'/2v

Substituting t into d = vt, we have

d = vt

= v(d'/2v)

= d'/2

= 457/2

= 228.5

≅ 229 pixels  to the nearest pixel

c. Since the players are d' distance apart, and player A moves at a speed three times that of player B, if player B moves with speed v, then player A moves with speed 3v, as they approach each other, they meet at time t. So player A covers a distance of d = 3vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when 3vt = d' - vt.

Solving this, we have

3vt = d' - vt

3vt + vt = d'

4vt = d'

t = d'/4v

Substituting t into d = vt, we have

d = vt

= v(d'/4v)

= d'/4

= 457/4

= 114.25

≅ 114 pixels to the nearest pixel

Answer:

ANSWER

g=f

−1

f(g(x))=x

Differentiate w.r.t.x

f

′

(g(x))⋅g

′

(x)=1

∴

1+(g(x))

4

1

⋅g

′

(x)=1

g

′

(x)=1+[g(x)]

4

Answer:

27 x 52  = ( 20 + 7 ) x ( 50 + 2 )  = 1404

Step-by-step explanation:

27 x 52

( 20 + 7 ) x ( 50 + 2 )

(20 x 50) + (20 x 2) + (7 x 50) + (7 x 2)

= 1000 + 40 + 350 + 14

= 1404  

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

Answer:

Your answer is 42

please mark me brain list

Answer:

y + 4 = 6(x - 3)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: m = 6, (3, -4)

(x1, y1) = (3, -4)

Input the given values into the equation for point-slope form:

y - (-4) = 6(x - 3)

y + 4 = 6(x - 3)

The equation written in point-slope form is: y + 4 = 6(x - 3)

I hope this helps :)

Answer:

The image is sideways.

But if your graph is like on the image, then the answer is: {y│-3 ≤ y ≤ 4}

Range is the set of y values

Least function value is -3 and greatest is 4

Answer:

{y│-3 ≤ y ≤ 4}

Step-by-step explanation:

Answer:

.42 miles more

Step-by-step explanation:

12.98 minus 12.56

Answer:

the answer is 3 hope this helps

Answer:

C

Step-by-step explanation:

4y+3 <= y+6

First, we subtract 3 from each side to get 4y <= y + 3.

Next, we subtract y from each side to get 3y <= 3.

Next, we divide each side by 3 to get y <= 1.

The graph is C.

Answer:

[tex]m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Choose any 2 points from the chart.

Point (-6, 11)

Point (-2, 1)

Step 2: Find slope m

Answer:

45.25 in

Step-by-step explanation:

To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).

h(t)=-3(7/2)^2+12(7/2)+40

=-3(49/4)+(84/2)+40

=(-147/4)+42+40

=-36.75+42+40

=45.25 in

Answer:

yes as x increases by 10, y increased by 2