Answer:
Standard deviation of a normal data distribution is a measure of data dispersion.
Step-by-step explanation:
Standard deviation is used to measure dispersion which is present around the mean data.
The value of standard deviation will never be negative.
The greater the spread, the greater the standard deviation.
Steps-
1. At first, the mean value should be discovered.
2.Then find out the square of it's distance to mean value.
3.Then total the values
4.Then divide the number of data point.
5.the square root have to be taken.
Formula-
SD=![\sqrt{\frac{(\sum{x-x)^2} }{n-1}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%28%5Csum%7Bx-x%29%5E2%7D%20%20%7D%7Bn-1%7D)
Advantage-
It is used to measure dispersion when mean is used as measure of central tendency.
Answer:
a) 5765760
b) 60480
c) 5705280
Step-by-step explanation:
Assuming that order is not important:
Number of women = 7
Number of men = 9
Members of the delegation = 6
a) How many delegations are possible?
![n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B16%21%7D%7B%2816-6%29%21%7D%3D16%2A15%2A14%2A13%2A12%2A11%5C%5C%20n%3D%205765760)
b) How many of these delegations have all men?
![n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4 \\n_{men} = 60480](https://tex.z-dn.net/?f=n_%7Bmen%7D%20%3D%20%5Cfrac%7B9%21%7D%7B%289-6%29%21%7D%3D9%2A8%2A7%2A6%2A5%2A4%20%20%5C%5Cn_%7Bmen%7D%20%3D%2060480)
c) How many of these delegations have at least one woman?
![n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280](https://tex.z-dn.net/?f=n_%7Bwomen%20%3E0%7D%3Dn-n_%7Bmen%7D%5C%5Cn_%7Bwomen%20%3E0%7D%20%3D5765760-60480%5C%5Cn_%7Bwomen%20%3E0%7D%20%3D5705280)
Answer:
y^2 OR y²
y² is the more accurate way to write it, however both should work
Answer:
72a
Step-by-step explanation:
Answer:
114.5 in³
Step-by-step explanation:
Volume of cone:
⅓ × 3.14 × 8² × 12
= 803.84 cm³
Volume of hemisphere:
⅔ × 3.14 × 8³
= 1071.786667 cm³
Total = 803.84 + 1071.786667
= 1875.626667 cm³
1 cm = 0.393701 inches
1 cm³ = 0.393701³ inches
Volume in in³:
1875.786667/0.393701³
= 114.4579471 in³