Step-by-step explanation:
Given,
Base of the triangle
Hypotenuse of the triangle = 5
Height of the triangle = x
Therefore, According to Pythagoras Theorem,
Hence, the required value of <u>x is 1.</u>
Answer:
Step-by-step explanation:
- <em>Let the distance is </em><em>d</em><em>, speed is </em><em>s</em>
<u>As per given we have:</u>
- d/s = 5
- 36/s + (d - 36)/(s + 3) = 5 - 1/4
<u>Substitute d with 5s and solve for s:</u>
- 36/s + (5s - 36)/(s + 3) = 19/4
- 36(s + 3) + s(5s - 36) = 19s(s + 3)/4
- 4(36s + 108 + 5s² - 36s) = 19s² + 57s
- 20s² + 432 = 19s² + 57s
- s² - 57s + 432 = 0
- s² - 9s - 48s + 432 = 0
- s(s - 9) - 48(s - 9) = 0
- (s - 9)(s - 48) = 0
- s -9 = 0 ⇒ s = 9 km/h
- s - 48 = 0 ⇒ s = 48 km/h
The original speed of grey wolf can be 9 km/h or 48 km/h
We are given that the amount of time for a given color is:
<span>A. </span>Day
Green = 2 min
Red = 3 min
Yellow = 20 sec = 0.333 min
Total day cycle time= 5.33 min
<span>B. </span>Night
Green = 3 min
Red = 4 min
Yellow = 30 sec = 0.5 min
Total night cycle time= 7.5 min
We calculate for the probabilities of waiting at red for
day and night:
Pday= 3 min/5.33 min= 0.5625
Pnight= 4 min/7.5 min= 0.5333
<span>Pdifference= 0.02917 = 2.92%</span>
<span>Therefore it is more likely to wait at red during day
time by 2.92%.</span>
