<span>Two adjacent sides of the park say x and y are,
</span><span>x=533feet
y=525feet
A=53º
area=1/2*b*c*sin(A)
111739 feet^2</span>
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,

m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?

Cross multiply:


Divide both sides by 0.68 to solve for XY


XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Answer:
second choice
Step-by-step explanation:





Let x = 5:



Since using x = 5 gives the square root of a negative number, 5 is not in the domain of the composition of the functions.
Answer: second choice
Answer:
(a) There are outliers
(b)
and 
Step-by-step explanation:
Given







Solving (a): Check for outliers
This is calculated using:
--- lower bound of outlier
--- upper bound of outlier
Where

So, we have:


The lower bound of outlier becomes




The upper bound of outlier becomes




So, we have:
--- the range without outlier
Given that:
--- This represents the lowest data
--- This represents the highest data
-24 and 64 are out of range of
.
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
and 