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alisha [4.7K]
3 years ago
14

The governments in two countries, Statland and Statopia, are proposing to change their national currencies to the Statto. The pr

oportion 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
Mathematics
1 answer:
pantera1 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

what year r u in this is soo hard gtg byeee

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If the point (x, y) is on the small rectangle, then which point must be on the large rectangle?
ANTONII [103]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. This question is incomplete but I'm going to help you assuming some things:

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  • The large rectangle is built up by the x and y-axis and the point that follows the rule:

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For the small rectangle, the vertices are:

A(0,0) \\ \\ B(6,0) \\ \\ C(6,4) \\ \\ D(0,4)

Therefore, if (6,4) lies on the small rectangle, for the large rectangle we have:

(x',y')=(6+4,4+4)=(10,4)

In conclusion:

If point (6,6) lies on the small rectangle, then (10,4) lies on the large rectangle.

6 0
3 years ago
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter
Anastasy [175]

Answer:

56.7°

Step-by-step explanation:

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

We solve this question using the Trigonometric function of Sine

From the question, we are told that:

A rectangle is 5.1 cm wide

and each diagonal is 9.3 cm long.

Since we have a diagonal, this means the shape is transformed to a triangle.

The width of the rectangle = Adjacent side of a triangle = 5.1cm

The diagonal of the rectangle = Hypotenuse = 9.3cm

Hence,

cosθ = Adjacent/Hypotenuse

cosθ = 5.1/9.3

cosθ = 0.5483870968

θ = arccos(0.5483870968)

θ = 56.743568714°

Approximately = 56.7°

The measure of the angle is 56.7°

3 0
3 years ago
What should be subtracted from
pychu [463]

<u>-5a²+13ab</u> should be subtracted.

<h3>Step-by-step explanation:-</h3>

Based on the given conditions, formulate,

→- {a}^{2} - 4 {a}^{2} + 13ab

→-({a}^{2} - 4 {a}^{2}) + 13ab

Taking the coefficients or numbers, we get,

→(- 1 - 4) {a}^{2} + 13ab

→ - 5 {a}^{2} + 13ab

3 0
2 years ago
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Write a number in the blank that makes this number sentence true.<br><br> 43 + 29 = ___ + 60
Gnoma [55]

Answer:

12

Step-by-step explanation:

7 0
4 years ago
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At cycle and sport, customers can rent bikes, electric scooters, kayaks, canoes or paddleboards by the hour. Ari is renting a bi
Ivan

Answer:

Option A,  9b + 10s is correct

Step-by-step explanation:

The complete question is

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Solution

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9b + 10s

Hence, option A is correct

7 0
3 years ago
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