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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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KiRa [710]

5 equals 5/1.  Simple as that.


8 0
3 years ago
Sylvie is going on vacation. She has already driven 58 miles in one hour. If she then travels for 6 hours at an average speed of
Vlada [557]

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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
I really need help ​
OLga [1]

Answer:

A and D

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
Help me answer these2 questions plz
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