1 Pint= 2 Cups= 16 ounces
1 Quart= 2 pints= 4 cups= 32 ounces
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.
The standard deviation of the data set is 19.3
<h3>How to find the standard deviation of the data set?</h3>
The dataset is given as:
82, 94, 105, 68, 57
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (82 + 94 + 105 + 68 + 57)/5
Evaluate
Mean = 81.2
The standard deviation is then calculated as:
![\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Csum%20%28x%20-%20%5Cbar%20x%29%5E2%7D%7Bn-1%7D%7D)
So, we have:
SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]
This gives:
SD = √[1490.8/4]
So, we have:
SD = 19.3
Hence, the standard deviation of the data set is 19.3
Read more about standard deviation at
brainly.com/question/4514629
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You got this you can do it I don’t know the answer but I hope you find someone who does(:
Step-by-step explanation:
I didn't get your question please post it again