The answer is
7.9306Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size
1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
= 102 / 5
μ = 20.4
2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76
3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
= 251.58 / 5-1
μ =
62.895 (this is now called sample variance)
4.) Get the square root of the sample variance:
√62.895 =
7.9306
Answer:
240°
Step-by-step explanation:
Draw a line EF perpendicular to AB and CD passing through M
In △BME
∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)
∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘
In △DMF
∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )
∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘
x=∠DMF+∠BME+∠EMF
x=15∘+45∘+180∘x=240∘
Answer:
D. 14
Step-by-step explanation:
a^2+b^2=square of c
a^2+x^2=50
272 fluid ounces of lake water