Answer:
a)
b) t = 0.3 seconds
c) d = 4.9t²
d) d = 11 cm.
Step-by-step explanation:
One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula
.......... (1)
a) the simplified expression is
......... (2)
b) If d = 44 cm = 0.44 meters, from equation (2) we get,
t = 0.299 seconds ≈ 0.3 seconds (Approximate)
c) If we make d as the subject of the equation, then
⇒ d = 4.9t² .......... (3)
d) Now, if seconds, then from equation (3) we get,
d = 4.9 (0.15)² = 0.11 meters = 11 cm (Answer)
Answer/Step-by-step explanation:
a. m<h = x°
Two angles to use in finding x are <h and 55°
Angle pair formed: linear pair angles
b. x° + 55° = 180° (linear pair)
Subtract 55° from each side
x + 55 - 55 = 180 - 55
x = 125°
c. Given: m<n = y°
Two angles to use in solving for y are: <h and <n
Angle pair formed: alternate exterior angles
d. m<n = y° (given)
m<n = x° = 125° (as solved in 2b)
Therefore:
y = x (alternate exterior angles are congruent)
thus:
y = 125° (substitution)
Answer:
question 1. 11 is the difference, question 2. look up the last one i don't know that yet
Step-by-step explanation:
Answer:
its either C or D its negative if that help please tell me if im right i might not be though im so so sorry if im wrong
Step-by-step explanation:
Answer:
Fail to reject H0 in all three cases
Step-by-step explanation:
Given that a certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hr.
(Right tailed test at 1% sign level)
n = 19
a) t =-2.5 , df = 18
p = 0.01154
p >1% hence Fail to reject H0
b) t = −1.83
p = 0.041931
p >1% Fail to reject H0
c) t = 0.57
p = 0.287>1% Fail to reject H0