Answer:
97.75 %
Step-by-step explanation:
You score 1 standard deviation above the mean
a) we have from left tail up to the mean 50 % of all values
b) We have in the interval [ μ - σ ; μ + σ ] 95.5 % of all possible values, if we divide that 95.5 by 2 we get 47.75 %, the part of the values that correspond to the right, then in order to get the % of students scored lower we add
50 + 47.75 = 97.75 %
So you can say that the porcentage of students that scored lower than you is 97.75 %
I just did this my bad bro
Luke has a 4 out of 7 chance to get a bluebonnet and Josie has a 3 out of 7 chance to get a sunflower
Answer:
4 hours
Step-by-step explanation:
The speed of the first car is

While the speed of the second car is

The time it takes for each car to cover a distance d is

where
d = 960 km is the total distance covered
For car 1, the time taken is:

For car 2, the time taken is:

Therefore, the difference in time is:

So if you remember what the normal y = sin(x) function looks like (a wave), y = 2 sin(4x) is just changed a little.
The standard format for sine/cosine function
<span>y = a sin<span>(bx− c)</span> + <span>d
a = amplitude, distance from center of the wave to the highest point. This function a = 2 so the height of the sine wave reaches 2 instead of 1.
"c" and "d" shift the graph left/right and up/down respectively. These equal zero so the sine wave is not shifted.
The range (y-values) is then just the amplitude -2 ≤ y ≤ 2
The domain (x-value) is all real numbers because the wave just keeps going on to infinity in both directions.
2π / |b| = period, distance per wave
this equation b = 4
period is then π/2
this is the distance before a wave repeats.
Graph
x | y
-π/8 -2
0 0
π/8 2
3π/8 -2
5π/8 2
see the pattern? I'm using the amplitude or peaks and bottoms of the wave y = 2 and -2 then using the x-distance between like points is the period so you add π/2
(π/8 , 2)
+ π/2
(5π/8 , 2)
Same for the minumums of the wave (y = -2)
(-π/8 , -2)
+ π/2
(3π/8 , -2)
Hope this helps, otherwise there are youtube videos you can watch or try an online graphing calculator like Desmos.com
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