Complementary means 90 degrees... so 90-71= the complementary angle which is 19 degrees.. Supplementary means 180 degrees so 180-71= the supplementary angle which is 119 degrees
F(x) = x^6(x^2 + x^8 + x^7 + 1)
The number of turning point depends on the number of real roots.
By graphing, x^8 + x^7 + x^2 + 1 = 0 has no real roots.
So that means f(x) only have on turning point when x = 0
Answer: b₁ = 7 and b₂ = 14.
Triangle: base=21 cm, height=6cm
Trapezoid: height=6 cm, b1=?, b2=?
Triangle -> A=bh/2 -> A=63 (<em>b is base and h is height)</em>
Trapezoid -> A=[(b₁+b₂)/2)]h (<em>b₁ and b₂ are bases and h is height)</em>
Since they have the same area, the formula will be:
63=[(b₁+2(b₁))/2)]h
x=7
Answer:
The standard deviation is 0.4984 
Step-by-step explanation:
In order to find standard deviation, The equation is given as

Here μ is the mean which is calculated as follows

Now the standard deviation is given as
![\sigma=\sqrt{\frac{1}{100} \sum_{i=1}^{100} (-0.04 \hbar-x_i)^2}\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.04 \hbar-0.5 \hbar)^2]+[54 \times(-0.04 \hbar+0.5 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.54 \hbar)^2]+[54 \times(0.46 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(0.2916 \hbar)]+[54 \times(0.2116 \hbar)]}]\\\sigma=\sqrt{\frac{1}{100} [13.4136 \hbar+11.4264 \hbar}]\\\sigma=\sqrt{\frac{24.84 \hbar}{100}}\\\sigma =0.4984 \hbar](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5Csum_%7Bi%3D1%7D%5E%7B100%7D%20%28-0.04%20%5Chbar-x_i%29%5E2%7D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B%5B46%20%5Ctimes%28-0.04%20%5Chbar-0.5%20%5Chbar%29%5E2%5D%2B%5B54%20%5Ctimes%28-0.04%20%5Chbar%2B0.5%20%5Chbar%29%5E2%5D%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B%5B46%20%5Ctimes%28-0.54%20%5Chbar%29%5E2%5D%2B%5B54%20%5Ctimes%280.46%20%5Chbar%29%5E2%5D%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B%5B46%20%5Ctimes%280.2916%20%5Chbar%29%5D%2B%5B54%20%5Ctimes%280.2116%20%5Chbar%29%5D%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B100%7D%20%5B13.4136%20%5Chbar%2B11.4264%20%5Chbar%7D%5D%5C%5C%5Csigma%3D%5Csqrt%7B%5Cfrac%7B24.84%20%5Chbar%7D%7B100%7D%7D%5C%5C%5Csigma%20%3D0.4984%20%5Chbar)
So the standard deviation is 0.4984 
Answer:
48
Step-by-step explanation: