Answer:
The answer to your question is below
Step-by-step explanation:
43.-
x = ![\sqrt{27^{2} + 22^{2}- 2(27)(22)cos 73}](https://tex.z-dn.net/?f=%5Csqrt%7B27%5E%7B2%7D%20%2B%2022%5E%7B2%7D-%202%2827%29%2822%29cos%2073%7D)
x = ![\sqrt{865.66}](https://tex.z-dn.net/?f=%5Csqrt%7B865.66%7D)
x = 29.42
44.-
x = ![\sqrt{10^{2} + 14^{2} -2(10)(14)cos 66}](https://tex.z-dn.net/?f=%5Csqrt%7B10%5E%7B2%7D%20%2B%2014%5E%7B2%7D%20-2%2810%29%2814%29cos%2066%7D)
x = ![\sqrt{182.11}](https://tex.z-dn.net/?f=%5Csqrt%7B182.11%7D)
x = 13.49
45.-
cos x = ![\frac{11^{2} - 17^{2} - 10^{2}}{-2(11)(17)}](https://tex.z-dn.net/?f=%5Cfrac%7B11%5E%7B2%7D%20-%2017%5E%7B2%7D%20-%2010%5E%7B2%7D%7D%7B-2%2811%29%2817%29%7D)
cos x = 0.7166
x = 44.22°
46.-
x = ![\sqrt{16^{2} + 12^{2} -2(16)(12)cos75}](https://tex.z-dn.net/?f=%5Csqrt%7B16%5E%7B2%7D%20%2B%2012%5E%7B2%7D%20-2%2816%29%2812%29cos75%7D)
x = ![\sqrt{300.61}](https://tex.z-dn.net/?f=%5Csqrt%7B300.61%7D)
x = 17.34
47.-
cos P = ![\frac{6^{2} - 13^{2} -11^{2}}{-2(13)(11)}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5E%7B2%7D%20-%2013%5E%7B2%7D%20-11%5E%7B2%7D%7D%7B-2%2813%29%2811%29%7D)
cos P = 0.888
P = 27.36°
sinR/13 = sinP/6
sin R = 13sin27.36/6
sinR = 0.996
R = 84.71°
Q = 180 - 84.71 - 27.36
Q = 67.93°
48.-
D = 180 - 25 - 113
D = 42°
CD = 9Sin113/sin42
CD = 12.38
ED = 9sin25/sin42
ED = 5.68
Answer:
The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
Step-by-step explanation:
The distribution that represents the ocurrence of this events is the Poisson distribution.
The probability of having k events in a ten-minute-period can be expressed as:
![P(x=k)=\frac{ \lambda^ke^{-k}}{k!}](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B%20%5Clambda%5Eke%5E%7B-k%7D%7D%7Bk%21%7D)
being λ the mean number of occurrences in ten minutes.
The probablility that there are 8 occurrences in ten minutes can be calculated as:
![P(x=k)=\frac{ \lambda^ke^{-k}}{k!}\\\\P(x=8)=\frac{5.3^8e^{-8}}{8!}=\frac{(622596*0.000335463)}{40320}=0.00518](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cfrac%7B%20%5Clambda%5Eke%5E%7B-k%7D%7D%7Bk%21%7D%5C%5C%5C%5CP%28x%3D8%29%3D%5Cfrac%7B5.3%5E8e%5E%7B-8%7D%7D%7B8%21%7D%3D%5Cfrac%7B%28622596%2A0.000335463%29%7D%7B40320%7D%3D0.00518)
The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.
Answer:
They answer is D.
Step-by-step explanation:
Hope this helps. Have a nice day!
The word mean is a synonym for average. To find the average, you add all of the data, then divide by the amount of data received.
So, we add 2+4+3+5+4+6+5+3+6+3+7+0+8+1. That totals to 57. Then, we divide by 14 because there are 14 answers. The end result is 4.07, because we round up.
Which one is it tell me the question