A) mean = np
0.6(200) = 120
SD^2= np(1-p)
SD = sqrt(200(0.6)(1-0.6))
SD = 6.928
B) the mean of binomial distribution in this case is the average number of samples you’ll have to take before you achieve a sample of 200 where 60% of smokers who started smoking before 18.
<u>Answer:</u>
Vt = 4071.5 ft^3
<u>Step-by-step explanation:</u>
Givens:
Equations
- V = (4/3)(pi)r^3
Find: Vt (Total Volume)
Vt = (1/2)V1 + (1/2)(V2)
Vt = (1/2)(V1 + V2) <em>[Factor out (4/3) and (pi) from volumes]</em>
Vt = (1/2)(4/3)(pi)(R^3 + r^3) <em>[Sub in Values]</em>
Vt = 4071.5 ft^3
Answer:
The sequence <u>is</u> geometric and the common ratio is 2
Step-by-step explanation:
A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.
Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.
Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because
4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.
In this case, 3 * 2 = 6
6 * 2 = 12
12 * 2 = 24
The sequence <u>is</u> geometric and the common ratio is 2
We know that the width of the garden is = 
feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)
