So u have to solve for p to do that you must isolate p by moving -6 after the equal sign -5+6=1 and there is the answer: 1 hope this helps!!
Answer: 3424.28
Step-by-step explanation:
Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321
Number of data values = 9
Mean :![\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5Cdfrac%7B%5Csum%5En_%7Bi%3D1%7D%20x_i%7D%7Bn%7D)
![\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56](https://tex.z-dn.net/?f=%5C%5C%5C%5C%3D%5Cdfrac%7B378%2B361%2B350%2B375%2B200%2B391%2B375%2B368%2B321%7D%7B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3119%7D%7B9%7D%5Capprox346.56)
Variance = ![\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csum%5En_%7Bi%3D1%7D%20%28x_i-%5Coverline%7Bx%7D%29%5E2%7D%7Bn-1%7D)
![\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224](https://tex.z-dn.net/?f=%5Csum%5En_%7Bi%3D1%7D%20%28x_i-%5Coverline%7Bx%7D%29%5E2%20%3D%20%2831.44%29%5E2%2B%2814.44%29%5E2%2B%283.44%29%5E2%2B%2828.44%29%5E2%2B%28-146.56%29%5E2%2B%2844.44%29%5E2%2B%2828.44%29%5E2%2B%2821.44%29%5E2%2B%28-25.56%29%5E2%5C%5C%5C%5C%3D27394.2224)
Variance = ![\dfrac{27394.2224}{8}=3424.2775\approx3424.28](https://tex.z-dn.net/?f=%5Cdfrac%7B27394.2224%7D%7B8%7D%3D3424.2775%5Capprox3424.28)
Answer:
The length of the slide he needs to make = AC = L = 14.3 ft
Step-by-step explanation:
From the Δ ABC
AC = Length of the slide = L
AB = 9 ft
°
From Δ ABC
![\sin \theta = \frac{AB}{AC}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAB%7D%7BAC%7D)
Put all the value in the above formula
![\sin 39 = \frac{9}{L}](https://tex.z-dn.net/?f=%5Csin%2039%20%3D%20%5Cfrac%7B9%7D%7BL%7D)
![L = \frac{9}{0.629}](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B9%7D%7B0.629%7D)
L = AC = 14.3 ft
Therefore the length of the slide he needs to make = AC = L = 14.3 ft
Answer:
The value of x is 16.
Step-by-step explanation:
We are given the following in the question:
c and d are complementary angles.
Measure of c = ![4x](https://tex.z-dn.net/?f=4x)
Measure of d = 26
Since c and d are complementary, we can write from property of complementary:
![c + d = 90](https://tex.z-dn.net/?f=c%20%2B%20d%20%3D%2090)
Putting values, we get,
![4x + 26 =90\\4x = 90-26 = 64\\\\\Rightarrow x = \dfrac{64}{4} = 16](https://tex.z-dn.net/?f=4x%20%2B%2026%20%3D90%5C%5C4x%20%3D%2090-26%20%3D%2064%5C%5C%5C%5C%5CRightarrow%20x%20%3D%20%5Cdfrac%7B64%7D%7B4%7D%20%3D%2016)
Thus, value of x is 16.
I think the distance is 25. If you graph it and count how many numbers to 17 you get 25.