Answer: Santa's speed in still air is 6 miles per minute
Speed of the wind is 1 mile per minute
Step-by-step explanation:
Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y
It takes Santa 5 minutes to fly 35 miles with the wind.
Speed = distance / time
It means that
x + y = 35/5 = 7
It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y
Speed = distance/time. Therefore,
x - y = 35 /5 = 5 - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y - y = 5
-2y = 5 - 7 = -2
y = -2/-2 = 1
x = 7 - y = 7 - 1
x = 6
Y=0.6x+5 is the slope of a line parallel to the line -3x+5y=-10
Answer:
x=4.5
Step-by-step explanation:
Using sohcahtoa we know tangent is equal to (length of side opposite to the angle ) / (lenth of side adjacent to the angle)
therefore: tan (theta) = (x-3) / (x) = 1 / 3
now cross multiply
3(x-3) = x
now solve for x
3x - 9 = x
-9= -2x
x= 4.5
Answer:
A. 3 5/6 yards
Step-by-step explanation:
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Answer with Step-by-step explanation:
Since the given event is binary we can use Bernoulli's probability to sove the problem
Thus for an event 'E' with probability of success 'p' the probability that the event occurs 'r' times in 'n' trails is given by
Part a)
For part a n = 11 , r =9, p = 0.75
Applying values we get
Part b)
For part b n = 20 , r = 16 , p=0.75
Applying values we get
