Answer: 74.5% of the measurements fall within one standard deviation of the average.
Step-by-step explanation:
The total number of measurements given is 2 + 12 + 10 + 33 + 40 + 76 + 80 + 65 + 52 + 22 + 12 + 5 + 11 = 420
If the mean is 21 mm and one standard deviation is 0.23 mm, then one standard deviation from the mean would be
21 ± 0.23
The lower limit is 20.77 mm
The upper limit is 21 + 0.23 = 21.23 mm
The number of measurements that fall within this range are
20.8 × 40
20.9 × 76
21.0 × 80
21.1 × 65
21.2 × 52
The total number of measurements that fall within this range is
40 + 76 + 80 + 65 + 52 = 313
The percentage of the measurements that fall within one standard deviation of the average is
313/420 × 100 = 74.5%
Answer:
The diameter of circle is 24 cm.
Step-by-step explanation:
We are given the following in the question:
Circumference of circle = 75.36 cm
We have to find the diameter of the circle.
Circumference of circle =
where r is the radius of the circle.
Putting values, we get,
Diameter of circle =
Thus, the diameter of circle is 24 cm.
Answer:
Your movie marathon will last 6 hours.
Step-by-step explanation:
This question can be solved using a rule of three.
Each movie lasts 
hours. How much do 4 movies last?
So
1 movie - 1.5 hours
4 movies - x hours
x = 4*1.5 = 6
Your movie marathon will last 6 hours.
point slope form
y-y1 = m(x-x1)
y-5 = -2/15(x--5)
y-5 = -2/15 (x+5)
change to slope intercept form
distribute
y-5 =-2/15x -10/15
y-5 = -2/15x -2/3
add 5 to each side
y = -2/15x -2/3 + 5
y = -2/15x -2/3 + 15/3
y = -2/15x +13/3
Answer: Option B. 96 ft^3
Solution:
Volume of the prism: V=?
V= A * H
Height of the prism: H=4 ft
Area of the base (triangle) : A=b*h/2
Base of the triangle: b=6 ft
Height of the triangle: h=8 ft
A=(6 ft)*(8 ft)/2
A=48 ft^2/2
A=24 ft^2
V=A*H
V=(24 ft^2)*(4 ft)
V=96 ft^3
