Answer:
169
Step-by-step explanation:
becuse it is just L * W
Answer: this one is confusing
Step-by-step explanation:
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
</span></span><span />
Answer:
40
Step-by-step explanation:
S x .35 = 14
S = 14/.35
S = 40
Verify:
40 x 35% = 14
1. 81.72
2. 10.37
3. 81.72 + 10.37 = 92.09 81.72 - 10.37 = 71.35
4. 81.72 + 2(10.37)= 102.46 81.72 - 2(10.37) = 60.98
5. 81.72 + 3(10.37) = 112.83 81.72-3(10.37) = 50.61
6. no
7. It is not bell-shaped
8. P(>=90) = 15/50 = 3/10 = 30%; 2nd way??
9. 5 = 68, 12 = 72, 24 = 82, 35 = 89, 43 = 92
10. 80.6
11. no
12. The population mean includes all of the data values and the sample mean only includes the 5 data values.
