Geometric mean is just the two numbers multiplied together under a square root sign
So you get 6
Answer:
10.6%
Step-by-step explanation:
Normal curves are symmetrical. That means that on a standard normal distribution, the area less than -1.25 is the same as the area greater than +1.25. The total area under the curve is 1, so:
P = 1 - 0.894
P = 0.106
Approximately 10.6% of the area under the curve lies below -1.25.
This is a linear relationship because:
(20-10)/(4-2)=(35-20)/(7-4)=m=5
So we have a line with a slope of 5, and the slope intercept form of a line is:
y=mx+b, and we have found that m=5
y=5x+b, now using any point we can solve for b, use (2,10)
10=5(2)+b
10=10+b
0=b so the line is:
y=5x
Answer:
Step-by-step explanation:
You can calculate the length of side a using the Cosine Rule:
a^2 = 32.6^2 + 41.4^2 - 2.32.6.42.4 cos pi/6
a^2 = 456.01
a = √456.01
a = 21.35
By the Sine Rule:
32.6 / sin B = 21.35 / sin pi/6
sin B = (32.6 * sin pi/6) / 21.35
sin B = 0.76347
B = 0.869 radians.
C = pi - pi/6 - 0.869 = 1.749 radians.
Answer:
![\dfrac{\sqrt[5]{810x^3}}{3x}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B5%5D%7B810x%5E3%7D%7D%7B3x%7D)
Step-by-step explanation:
As a rule, the "simplified form" means there are no fractions under a radical.
![\sqrt[5]{\dfrac{10x}{3x^3}}=\sqrt[5]{\dfrac{10x(3^4x^2)}{3x^3(3^4x^2)}}=\sqrt[5]{\dfrac{810x^3}{(3x)^5}}=\boxed{\dfrac{\sqrt[5]{810x^3}}{3x}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%5Cdfrac%7B10x%7D%7B3x%5E3%7D%7D%3D%5Csqrt%5B5%5D%7B%5Cdfrac%7B10x%283%5E4x%5E2%29%7D%7B3x%5E3%283%5E4x%5E2%29%7D%7D%3D%5Csqrt%5B5%5D%7B%5Cdfrac%7B810x%5E3%7D%7B%283x%29%5E5%7D%7D%3D%5Cboxed%7B%5Cdfrac%7B%5Csqrt%5B5%5D%7B810x%5E3%7D%7D%7B3x%7D%7D)
