Answer:
x = 28
Step-by-step explanation:
(3x + 6^o) = 90^o
3x = 84^o
x = 28
You have to use the substitution method by substituting one Y value with the other
Answer:
standard error of the mean = 1.6960
Step-by-step explanation:
Given -
Mean
= 53 minutes
Standard deviation ( s ) = 53.9 minutes
n = 1010
standard error of the mean =
=
= ![\frac{53.9}{\sqrt{1010}}](https://tex.z-dn.net/?f=%5Cfrac%7B53.9%7D%7B%5Csqrt%7B1010%7D%7D)
= 1.6960
Explanation:
Midline: it is a horizontal line where half of the function above it and half of the function is below it.
Amplitude: It means how far the function varies from the midline to the above and below.
Period: the distance between two consecutive maximum points (minimum points).
3) From the graph,
![\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BMidline%7D%3D%5Cfrac%7BMaximum%5Ctext%7B%20point%2B%20minimum%20point%7D%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B3%2B%28-1%29%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B3-1%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B2%7D%7B2%7D%20%5C%5C%20%3D1%20%5Cend%7Bgathered%7D)
Answer: Midline=1
1) Amplitude
![\text{Amplitude =}2](https://tex.z-dn.net/?f=%5Ctext%7BAmplitude%20%3D%7D2)
2) Periods
![\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BPeriod%7D%3D6%20%5C%5C%20%5CRightarrow%20b%3D%5Cfrac%7B2%5Cpi%7D%7B6%7D%20%5Cend%7Bgathered%7D)
4) The trigonometric equation is,
![\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Da%5Ccos%20%28b%28x-c%29%29%2Bd%20%5C%5C%20a%3D%5Ctext%7B%20amplitude%7D%20%5C%5C%20b%3D%5Ctext%7Bperiod%7D%20%5C%5C%20c%3D%5Ctext%7B%20phase%20shift%7D%20%5C%5C%20d%3D%5Ctext%7B%20vertical%20shift%7D%20%5C%5C%20y%3D2%5Ccos%20%28%5Cfrac%7B2%5Cpi%7D%7B6%7Dx%29%2B1%20%5Cend%7Bgathered%7D)
Answer:
The answer is 25.16
Hope this helps.
Please mark as Brainliest:)