Answer:
One large bus can carry 72 people
Step-by-step explanation:
I kid you not I was messing around with my calculator and I found 72 for the large busses and 14 for the small ones. By doing 72+72+14 you get 158 and if you do 14+14+72 you get 100. Hope this helps.
Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3
When two lines intersect,
four angles are formed. Each opposite pair are called vertical angles and are always
congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.
Properties of vertical angles includes:
i.) <span><span><span /><span>Vertical angles are always congruent, or of equal measure.
</span></span><span>
ii.) <span>Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°).</span>
</span>
<span>
Properties of linear pair includes:<span>
i.) Each pair of linear angles are
supplementary (add to 180°).</span></span><span /></span>
I hope this helps you
s' (t)=0-4
s' (t)=-4
t=8
s' (8)=-4
Answer:
a) 15.579
b) 39.019
Step-by-step explanation:
a) For the top 2% the z-value from the z table
z = 2.054
thus,
z =
here
X = 132
Mean = 100
thus,
2.054 =
or
σ = 15.579
b) Using tables, we get for Z = 0.89 the value of 0.8133 and for Z= 0.90 the value of 0.8159
By interpolation, values for 0.815 and we get Z=0.897
thus,
z =
here
X = 220
Mean = 185
thus,
0.897 =
or
σ = 39.019