Add 20 to 24 and divide everything by 4
Answer:
x = 2root(22)
see image.
Step-by-step explanation:
The triangle shown is one big triangle cut into two more smaller triangles: one medium-sized and one smaller.
ALL THREE TRIANGLES ARE SIMILAR BY AA.
Set the two smaller triangles up so you can see the corresponding sides. x is the short leg in one triangle and it is the long leg in the smallest triangle. Set up a proportion.
22/x = x/4
crossmultiply
x^2 = 22•4
x^2 = 88
square root both sides.
x = sqroot(88)
x = 2sqroot(22)
see image.
36=2*2*3*3=2²*3²
60=2*2*3*5=2²*3*5
LCM(36,60)=2*2*3*3*5=2²*3²*5=180
The diameter would be twice 5, or 10
Answer:
a) mean = 0.2
variance = 0.0391
standard deviation = 0.198
b) The average hurricane is aprox. category 2.* (B)
Step-by-step explanation:
In order to find the mean, variance, and standard deviation, let us for a table for the data:
level x
1 0.411
2 0.278
3 0.221
4 0.080
5 0.010
Calculating the mean (
)
![\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x} = 0.2](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%20%3D%20%5Cfrac%7Bx_1%2Bx_2%2Bx_3%2Bx_4%20%2B%20x_5%7D%7Bn%7D%5C%5C%5C%5C%5Cbar%7Bx%7D%20%3D%20%5Cfrac%7B0.411%20%2B%200.278%20%2B%200.221%20%2B%200.080%20%2B%200.010%7D%7B5%7D%5C%5C%5Cbar%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5C%5C%20%5Cbar%7Bx%7D%20%20%3D%200.2)
∴Mean = 0.2
level x
1 0.411 0.211 0.0445
2 0.278 0.078 0.0608
3 0.221 0.021 0.000441
4 0.080 -0.12 0.0144
5 0.010 -0.19 0.0361
![\sum(x - \bar{x})^2 = 0.1562](https://tex.z-dn.net/?f=%5Csum%28x%20-%20%5Cbar%7Bx%7D%29%5E2%20%3D%200.1562)
![variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391](https://tex.z-dn.net/?f=variance%20%3D%20%5Cfrac%7B%5Csum%28x%20-%20%5Cbar%7Bx%7D%29%5E2%7D%7Bn-1%7D%20%5C%5Cvariance%20%3D%20%5Cfrac%7B0.1562%7D%7B4%7D%20%5C%5Cvariance%20%3D%200.0391)
standard deviation = √(variance)
Standard deviation = √(0.0391)
Standard deviation = 0.198
b) the average hurricane is aprox. category 2 (B)