Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?
Solution: The five number summary denotes:
Minimum = 19
First Quartile = 32
Median = 47
Third Quartile = 61
Maximum = 77
Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.
Therefore, there are 7 observations that are strictly less than 32
Answer:
8π yards
Step-by-step explanation:
A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:
C=πd=2πr
Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as

Answer:
$16,534.95
Step-by-step explanation:
To compute interest on loans, we use the compounded interest equation. We use the equation
where
- P is the principle or starting value
- A is the total amount after interest and a period of time
- r is the rate at which interest gathers as a decimal
- n is the number of times compounded in a year.
For this problem, we know P=$8000, r=19%=0.19, t=4 years and n=2. We substitute into the formula and simplify to find the total amount A.

Answer:
A 8.42
Step-by-step explanation:
15.99+22.95+19.96+32.67 = 91.57
100.00-91.57 =8.42