Answer: 3424.28
Step-by-step explanation:
Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321
Number of data values = 9
Mean :![\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5Cdfrac%7B%5Csum%5En_%7Bi%3D1%7D%20x_i%7D%7Bn%7D)
![\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56](https://tex.z-dn.net/?f=%5C%5C%5C%5C%3D%5Cdfrac%7B378%2B361%2B350%2B375%2B200%2B391%2B375%2B368%2B321%7D%7B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3119%7D%7B9%7D%5Capprox346.56)
Variance = ![\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csum%5En_%7Bi%3D1%7D%20%28x_i-%5Coverline%7Bx%7D%29%5E2%7D%7Bn-1%7D)
![\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224](https://tex.z-dn.net/?f=%5Csum%5En_%7Bi%3D1%7D%20%28x_i-%5Coverline%7Bx%7D%29%5E2%20%3D%20%2831.44%29%5E2%2B%2814.44%29%5E2%2B%283.44%29%5E2%2B%2828.44%29%5E2%2B%28-146.56%29%5E2%2B%2844.44%29%5E2%2B%2828.44%29%5E2%2B%2821.44%29%5E2%2B%28-25.56%29%5E2%5C%5C%5C%5C%3D27394.2224)
Variance = ![\dfrac{27394.2224}{8}=3424.2775\approx3424.28](https://tex.z-dn.net/?f=%5Cdfrac%7B27394.2224%7D%7B8%7D%3D3424.2775%5Capprox3424.28)
Answer:
see below
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 15.5 pi
If we approximate pi by 3.14
C = 15.5 * 3.14
C =48.67
If we use the pi button
C =48.69486813
Answer:
y=1/2x+5/2
Step-by-step explanation:
expand the point-slope form and rearrange to y=mx+b
y-3=1/2(x-1)
y-3=1/2x-1/2
y=1/2x+5/2
Answer:
x = 11°
4x = 44°
Step-by-step explanation:
Line BC || Line EF... (given)
BF is transversal.
is exterior angle of ![\angle EBF](https://tex.z-dn.net/?f=%20%5Cangle%20EBF%20)
Hence, by remote interior angle theorem of triangle, we have:
![m\angle BED = m\angle EBF + \angle BFE \\4x = x + 33\degree \\4x - x = 33\degree \\3x = 33\degree \\x = \frac{33}{3}\\\huge \purple {\boxed {x = 11\degree}} \\4x = 4\times 11\degree \\\huge \orange{\boxed {4x = 44\degree}}](https://tex.z-dn.net/?f=%20m%5Cangle%20BED%20%3D%20m%5Cangle%20EBF%20%2B%20%5Cangle%20BFE%20%20%5C%5C%3C%2Fp%3E%3Cp%3E4x%20%3D%20x%20%2B%2033%5Cdegree%20%5C%5C%3C%2Fp%3E%3Cp%3E4x%20-%20x%20%3D%2033%5Cdegree%20%5C%5C%3C%2Fp%3E%3Cp%3E3x%20%3D%2033%5Cdegree%20%5C%5C%3C%2Fp%3E%3Cp%3Ex%20%3D%20%5Cfrac%7B33%7D%7B3%7D%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Cpurple%20%7B%5Cboxed%20%7Bx%20%3D%2011%5Cdegree%7D%7D%20%5C%5C%3C%2Fp%3E%3Cp%3E4x%20%3D%204%5Ctimes%2011%5Cdegree%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Corange%7B%5Cboxed%20%7B4x%20%3D%2044%5Cdegree%7D%7D%20%3C%2Fp%3E%3Cp%3E)
<h3>
<u>QUES</u><u>TION</u><u>:</u></h3>
What is 965,000,000,000,000 in scientific notation?
9.65×10−14
9.65×10−12
9.65×1012
9.65×1014
<h3>
<u>ANSWER</u><u>:</u></h3>
![\large \sf \orange{9.65 \times 10 {}^{14} } \sf \: is \: the \: scientific \: notation \: of \: 965000000000000](https://tex.z-dn.net/?f=%20%5Clarge%20%5Csf%20%5Corange%7B9.65%20%5Ctimes%2010%20%7B%7D%5E%7B14%7D%20%7D%20%5Csf%20%5C%3A%20is%20%5C%3A%20the%20%5C%3A%20scientific%20%5C%3A%20notation%20%5C%3A%20of%20%5C%3A%20965000000000000)
<u>Addit</u><u>ional</u><u> </u><u>info</u><u>:</u><u> </u>Remember that SCIENTIFIC NOTATION is in the form a × 10^b where 1 ≤ a < 10 and b is an integer.
HOPE THIS HELP YOU! HAVE A NICE DAY
~kimtaetae92~