Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR. She placed ping pong balls
1 answer:
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Answer:
110.9 feet
Step-by-step explanation:
The function that models the flight of the ball is
where f(x) is the vertical distance in feet and x is the horizontal distance the ball travels
If the ball hits the ground, then f(x)=0
The solution is given by the quadratic formula:
We substitute a=-0.02, b=2.2, and c=2 to get:
This implies that:
Since we are dealing with time,
To one decimal place, we have 110.9 feet
Answer:
Perimeter of ΔABC = 16.46 units
Step-by-step explanation:
By applying cosine rule (CAH) in the given triangle ADB,
cos(∠BAC) =
cos(55°) =
AB = 5.23 units
Since, ΔABC is an isosceles triangle
AB = BC = 5.23 units
AD = DC = 3 units [Perpendicular drawn from a vertex of an isosceles triangle is a perpendicular bisector of the opposite side]
Therefore, AC = AD + DC = 6 units
Now perimeter of ΔABC = AB + BC + AC
= 5.23 + 5.23 + 6
= 16.46 units