Answer:
24 cm²
Step-by-step explanation:
A1/A2 = (side1/side2)²
6/A2 = (1/2)²
6/A2 = 1/4
A2 = 24 cm²
The answer would be 8631800
Answer:
Range =94
σ² = 1,141.564
Standard Deviation = 33.78703
Step-by-step explanation:
First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:
Highest = 99
Lowest = 5
Range = 99 - 5
Range = 94
Now to find the variance of the sample data set, we first need to find for the mean of the data.
The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.
Mean = ![\dfrac{5+14+26+50+60+72+79+88+93+94+99}{11}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%2B14%2B26%2B50%2B60%2B72%2B79%2B88%2B93%2B94%2B99%7D%7B11%7D)
Mean = ![\dfrac{680}{11}](https://tex.z-dn.net/?f=%5Cdfrac%7B680%7D%7B11%7D)
Mean = ![61.81818](https://tex.z-dn.net/?f=61.81818)
Now to find the variance we simply use the formula:
σ²![=\dfrac{(x_{i}-Mean)^{2} }{n-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%28x_%7Bi%7D-Mean%29%5E%7B2%7D%20%7D%7Bn-1%7D)
σ²![=\dfrac{(5-61.818)^{2}+(14-61.818)^{2}+(26-61.818)^{2}+...+(99-61.818)^{2} }{11-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%285-61.818%29%5E%7B2%7D%2B%2814-61.818%29%5E%7B2%7D%2B%2826-61.818%29%5E%7B2%7D%2B...%2B%2899-61.818%29%5E%7B2%7D%20%7D%7B11-1%7D)
σ²![=\dfrac{11,415.64}{10}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B11%2C415.64%7D%7B10%7D)
σ²![=1,141.564](https://tex.z-dn.net/?f=%3D1%2C141.564)
Now to find the standard deviation, we take the variance and get the square root of it.
Standard Deviation![=\sqrt{1,141.564}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B1%2C141.564%7D)
Standard Deviation![=33.78703](https://tex.z-dn.net/?f=%3D33.78703)
On any right triangle that has 45 degree angles the hypotenuse is the length of the side x sqrt(2)
the answer would be 8 sqrt2
Answer:
12
Step-by-step explanation:
12 parts