Answer:
The probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47
Step-by-step explanation:
Has Gained Weight Has Not Gained Weight
Does not take vitamins 52 19
Takes one vitamin per day 35 49
Takes more than one vitamin per day 72 80
We are supposed to find the probability that he or she has gained weight, given that he or she takes more than one vitamin per day
A= he or she has gained weight
B=he or she takes more than one vitamin per day


B = 72+80=152
So,
So, Option C is true
Hence the probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47
Answer:
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
__
For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
Answer: 70
Step-by-step explanation:
12*10 = 120-50 = 70
Answer:

Step-by-step explanation:
Based on centroid theorem of triangles:


Plug in the value into the equation




S + a = 300...s = 300 - a
8s + 12a = 3200
8(300 - a) + 12a = 3200
2400 - 8a + 12a = 3200
-8a + 12a = 3200 - 2400
4a = 800
a = 800/4
a = 200 <==== 200 adult tickets
s = 300 - a
s = 300 - 200
s = 100 <=== 100 student tickets