Answer:
18080.00
Step-by-step explanation:
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Answer:
Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr
Step-by-step explanation:
Average speed of plane in with wind = 386 km/h
Average speed of plane against wind = 318 km/hr
Consider the speed of plane in wind be x km/hr and speed of plane against wind be y km/hr
As such speed of plane in wind would be x + y km/hr and speed of plane against wind would be x - y km/hr. i.e
x+y = 386
x-y = 318
by solving these two equation, we get
2x=704
x= 352 km/hr
y=386 - 352
y= 34 km/hr
Hence, Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr
The formula for a binomial probability function is the one that is attached to the image.
Where:
n = number of trials.
x = number of successes from which you want to know the probability.
p = probability of obtaining success.
In this case, success is defined as obtaining a result of type a.
We look for the probability of obtaining 4 results of type a.
So:
n = 10.
x = 4.
p = 0.70.
In this way:
P (x = 4) = 0.0368. If we now look for the probability of obtaining 5 results of type b.
So:
n = 10.
x = 5.
p = 0.20.
P (x = 5) = 0.0264.
Finally, the probability of obtaining 1 result of type c.
n = 10.
x = 1.
p = 0.1.
P (x = 1) = 0.387. Finally, the probability of obtaining 4 results of type a, 5 of type b and 1 of type c is:
P (4a + 5b + 1c) = 0.0368 * 0.0264 * 0.387.
P = 0.0376%
Sum of angles in a triangle = 180°, then:
∠H + ∠F + ∠G = 180°
(x°) + (x-5)° + (3x+25)° = 180°
Remove all parenthesis and computr
x+x-5+3x+25 = 180
5x + 20 = 180
5x=160
x = 32°, then ∠G = 3x+25 = 3(32)+25 = 121°