Answer:
See attached graph
Step-by-step explanation:
The graph of distance from home as a function of time starts at the origin of coordinates (0,0) since at time zero minutes Varun is at home.
Then we represent his driving at constant speed (although it has not been specified in the problem) as a line with positive slope equal to his speed, that goes on for the first five minutes. After that, he reaches the traffic light that keeps him at the same distance from home for three minutes (notice the line representing the distance covered is flat from minute 5 to minute 8, while he is not moving).
Then he starts moving again (we assume at the same speed as before - so the line representing his position is again a line with positive slope and with the SAME inclination as that which represents the first 5 minutes of his trip.
The line ends at minute 15 which is the time it took him to get to work.
Answer:
Given : JKLM is a rectangle.
Prove: JL ≅ MK
Since, by the definition of rectangle all angles of rectangles are right angle.
Thus, In rectangle JKLM,
∠ JML and ∠KLM are right angles.
⇒ ∠ JML ≅ ∠KLM
Since, JM ≅ KL (Opposite sides of rectangles are congruent)
ML ≅ ML ( Reflexive )
Thus, By SAS congruence postulate,
Δ JML ≅ Δ KLM
⇒ JL ≅ MK ( because corresponding parts of congruent triangles are congruent)
Hence proved.
Answer:
The probability that the first subject to be a universal blood donor is the seventh person selected is 0.0511
Step-by-step explanation:
Let's start defining the random variable X.
X : ''The first success is on the xth trial''
X can be modeled as a geometric random variable with the following probability function :
Where is the probability of the random variable X to assumes the value ''x''.
The variable p is the success probability.
For this exercise, we define a success as someone randomly selected is a universal donor and that probability is
We are looking for :
The probability function is :