Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normalized scores are recorded on each between 0 and 1. For a given applicant, let X 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:

f(x, y) = { x+y for 0 < x < 1, 0 < y < 1

{ 0 elsewhere.

(a) Find the marginal density of the writing test score, and evaluate it at the point X = 1/2.

(b) Find the marginal density of the critical thinking test score, and evaluate it at the point Y = 1/3.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

m∠a is 90°

m∠b is 40°