Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
<em><u>Mean Formula</u></em>
![= 12.8](https://tex.z-dn.net/?f=%3D%2012.8)
![\mu_x^2 = 163.84](https://tex.z-dn.net/?f=%5Cmu_x%5E2%20%3D%20163.84)
<em><u>Variance Formula</u></em>
![= 174.2- 163.84\\\\=10.36](https://tex.z-dn.net/?f=%3D%20174.2-%20163.84%5C%5C%5C%5C%3D10.36)
<em><u>Standard Deviation Formula</u></em>
![Standard\ deviation, \ \sigma_x = \sqrt{Variance}](https://tex.z-dn.net/?f=Standard%5C%20deviation%2C%20%5C%20%5Csigma_x%20%3D%20%5Csqrt%7BVariance%7D)
Answer: c
Step-by-step explanation:
A full circle is 360 degrees so half way would be 180 and since theyre parallel you know that you can use the 55 degrees up top to use in ur equation to find cfe
180-55=125
Can't be 45 because the angle on the other side is smaller than cfe and its 55 degrees and cfe has to be wider than 90 degrees because a right angle is 90 degrees and this angle noticeable goes past 90
Can't be 180 because the whole thing equals 180
Yeah its D i just checked
Answer:
45m
Step-by-step explanation:
9*5
Answer:
C) The third table. K= 5
![C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5](https://tex.z-dn.net/?f=C%29%5Cfrac%7B10%7D%7B2%7D%3D%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7B25%7D%7B5%7D%3D%5Cfrac%7B40%7D%7B8%7D%3Dk%3D%205)
Step-by-step explanation:
1) Below there are the missing data:
A proportional relationship through a constant k. It is obtained when we divide:
![k=\frac{y}{x}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7By%7D%7Bx%7D)
2)In this case, when we divide the temperature (T) by the time (h).
![k=\frac{T}{h}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7BT%7D%7Bh%7D)
3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).
![A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}](https://tex.z-dn.net/?f=A%29%20%5Cfrac%7B12%7D%7B3%7D%5Cneq%5Cfrac%7B25%7D%7B5%7D%5Cneq%5Cfrac%7B36%7D%7B6%7D%5Cneq%5Cfrac%7B81%7D%7B9%7D%5C%5CB%29%20%5Cfrac%7B22.5%7D%7B3%7D%5Cneq%5Cfrac%7B30%7D%7B4%7D%5Cneq%5Cfrac%7B52.5%7D%7B7%7D%5Cneq%5Cfrac%7B67.5%7D%7B8%7D%5C%5CC%29%5Cfrac%7B10%7D%7B2%7D%3D%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7B25%7D%7B5%7D%3D%5Cfrac%7B40%7D%7B8%7D%3Dk%3D%205%5C%5CD%29%5Cfrac%7B8.5%7D%7B2%7D%5Cneq%5Cfrac%7B22.5%7D%7B5%7D%5Cneq%5Cfrac%7B28.5%7D%7B7%7D%5Cneq%5Cfrac%7B36%7D%7B8%7D)