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MissTica
2 years ago
14

Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normal

ised scores are recorded on each between 0 and 1. For a given applicant, let XX be the score on the writing test and YY the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as:
Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

Answer:

hello your question is incomplete attached below is the complete question

<em>answer</em> :   1

Step-by-step explanation:

Given Function:

F(x,y)=\left \{ {{1/4(2x+y)} \atop {0}} \right.      for    0<x<1, 0<y<2

                                            elsewhere.

Evaluating the marginal density of the writing test score at point

X = 1/2  = 1/4 ( 4x + 2 ) = 1/4 ( 4 * 1/2 + 2 ) = 1

attached below is the detailed solution

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The ratio of the measures of the three angles is 4:5:6. Find the measure of each angle of the triangle
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Answer:

Let the number be x.

Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.

Then, the angles be 4x , 5x and 6x respectively.

We know that: The sum of all the measures of angles is 180 degree.

then;

4x+5x+6x = 180^{\circ}

Combine like terms;

15x = 180^{\circ}

Divide by 15 both sides we get;

x = 12

Then, the measure of each angle of triangle:

4x = 4(12) = 48^{\circ}

5x = 5(12) = 60^{\circ}

6x = 6(12) = 72^{\circ}

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Solve for x. 2x+5+6x-1=120​
svetlana [45]

Answer:

x=14.5

Step-by-step explanation:

2x+5+6x-1=120​

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8 0
3 years ago
A fashion designer makes and sells hats. The material for each hat cost $5.50. The Hats sell for $12.50 each. The designer spend
labwork [276]

The designer must sell 200 hats for breaking even.

Step-by-step explanation:

Given,

Cost for material for each hat = $5.50

Selling price of each hat = $12.50

Cost spend on advertising = $1400

Let,

x represents the number of hats.

Revenue = 12.50x

Costs = 5.50x+1400

For breaking even,

Revenue = Cost

12.50x=5.50x+1400\\12.50x-5.50x=1400\\7x=1400

Dividing both sides by 7

\frac{7x}{7}=\frac{1400}{7}\\x=200

The designer must sell 200 hats for breaking even.

Keywords: addition, division

Learn more about division at:

  • brainly.com/question/916181
  • brainly.com/question/9136949

#LearnwithBrainly

7 0
3 years ago
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