Imagine the shadow and the building height forms a right angle triangle;
We know the height and the shadow make up the "legs" of the triangle,
a²+b²=c²
(750)²+(111)²=c²
562500+12321=c²
574821=c²
c=√574821
c=758.169 ≈ 758.2 ft
Hope I helped :)
Answer:
The correct answer is
Step-by-step explanation:
To solve the question we note that the question involves a test statistic calculation given by
Where
x₁ = Mean of sample 1
x₂ = Mean of sample 2
n₁ = Sample size of sample 1
n₂ = Sample size of sample 2
s₁ = Variance of sample 1
s₂ = Variance of sample 2
s₁ = ∑(x₁ - x₁')²/n₁, s₂ = ∑(x₂ - x₂')²/n₂
The test statistic is a variable that is derived from a given data sample and is applied in hypothesis testing. The test statistic measures the available data against the expected value from the null hypothesis
With the given data, we have
The coefficient of x² is is a negative 0.6, so this function has a maximum value.
the max value of a quadratic function is the value of f(x) when x=-b/2a,
in this case, a=-0.6, b=382
so x=382/1.2=
r(382/1.2)=-0.6(382/1.2)²+382*(382/1.2)
use a calculator: 60801.67 is the number I got.
Answer:
19
Step-by-step explanation:
Standard deviation= σ= 0.1
Confidence interval= 95%= 0.95
Significance level=α= 1-0.95= 0.05
α/2 = 0.025
At α/2 z( α/2 ) =1.960 [from statistic table]
Now,
the sample size at error of 0.02 is
0.02=z( α/2 )σ/√n
0.02=(1.960)*(0.1)/√n
5/49 = 1/√n
√n=49/5
n=96.04
n should be 96 or greater
