The appropriate choice is ...
... On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.
_____
Had Brianna simplified her effort properly on line 4, she would have
... -0.1 +0.1x = -1.4
putting her essentially back where she started—with a 2-step equation.
Answer:
D
Step-by-step explanation:
Answer:
0.0062
Step-by-step explanation:
Find the standard error.
σ = 20 / √100
σ = 2
Find the z-score.
z = (x − μ) / σ
z = (70 − 65) / 2
z = 2.5
Find the probability.
P(Z > 2.5) = 1 − 0.9938
P(Z > 2.5) = 0.0062
Let the total length of Ted's hike be L and the total time spent be T.
The time spent going down is t, and the time spent going up is t+40 (if t is measured in minutes) or t + 2 hr/3 (if t is measured in hours). Note that t + t + 2/3 must equal T, the total hiking time, with all measurerments in hours.
Distance uphill: L = (3 mph)(t+2/3) = Distance downhill: (5 mph)(t)
We need only find t, the am't of time req'd for Ted to go up to down.
3t + 2 = 5t, or 2 = 2t, or t = 1 (hour)
It will take Ted 1 hour to descend the hill and 1 2/3 hour to ascend the hill.
The total length of Ted's hike was then 2 2/3 hours, or 2 hours 40 minutes.
By the way, the distance in each direction is (5 mph)(1 hr) = 5 miles.
Answer:
Step-by-step explanation:
We are given that
Height of pole,h=20 foot
Height of man,h'=6 foot
We have to find the rate at which the man's shadow growing when the man is 10 feet from the pole.
Let x be the distance of man from the pole and y be the distance of tip of man's shadow from the pole.
Distance between man and shadow's tip=y-x
When two triangle are similar then the ratio of their corresponding sides are equal.
Differentiate w.r.t t
Hence, the man's shadow growing at rate when the man is 10 feet from the pole.
