Answer:
Step-by-step explanation: 2003160
If you add them up, you get 2003160.
So the lakes holds 2003160 LITERS of water to the current date.
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Answer:
Check the explanation
Step-by-step explanation:
Let X denotes steel ball and Y denotes diamond
= 1/9( 50+57+......+51+53)
=530/9
=58.89
= 1/9( 52+ 56+....+ 51+ 56)
=543/9
=60.33
difference = d =(60.33- 58.89)
=1.44
![s^2=1/n\sum xi^2 - n/(n-1)\bar{x}^2](https://tex.z-dn.net/?f=s%5E2%3D1%2Fn%5Csum%20xi%5E2%20-%20n%2F%28n-1%29%5Cbar%7Bx%7D%5E2)
s12 = 1/9( 502+572+......+512+532) -9/8 (58.89)2
=31686/8 - 9/8( 3468.03)
=3960.75 - 3901.53
=59.22
s1 = 7.69
s22 = 1/9( 522+ 562+....+ 512+ 562) -9/8 (60.33)2
=33295/8 - 9/8 (3640.11)
=4161.875 - 4095.12
=66.75
s2 =8.17
sample standard deviation for difference is
s=![\sqrt{[(n1-1)s_1^2+ (n2-1)s_2^2]/(n1+n2-2)}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28n1-1%29s_1%5E2%2B%20%28n2-1%29s_2%5E2%5D%2F%28n1%2Bn2-2%29%7D)
= ![\sqrt{[(9-1)*59.22+ (9-1)*66.75]/(9+9-2)}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%289-1%29%2A59.22%2B%20%289-1%29%2A66.75%5D%2F%289%2B9-2%29%7D)
= ![\sqrt{1007.76/16}](https://tex.z-dn.net/?f=%5Csqrt%7B1007.76%2F16%7D)
=7.93
sd = ![s*\sqrt{(1/n1)+(1/n2)}](https://tex.z-dn.net/?f=s%2A%5Csqrt%7B%281%2Fn1%29%2B%281%2Fn2%29%7D)
=![7.93*\sqrt{(1/9)+(1/9)}](https://tex.z-dn.net/?f=7.93%2A%5Csqrt%7B%281%2F9%29%2B%281%2F9%29%7D)
=7.93* 0.47
=3.74
For 95% confidence level
=1.96
confidence interval is
![d\pm Z(\alpha /2)*s_d](https://tex.z-dn.net/?f=d%5Cpm%20Z%28%5Calpha%20%2F2%29%2As_d)
=(1.44 - 1.96* 3.75 , 1.44+1.96* 3.75)
=(1.44 - 7.35 , 1.44 + 7.35)
=(-2.31, 8.79)
There is sufficient evidence to conclude that the two indenters produce different hardness readings.
Answer:
40 or 39
Step-by-step explanation: