Answer:
The correct answer is (C) or .227. The number of natural blackjacks (X) follows a binomial distribution with n=20, p=0.045.
Explanation:
P(X≥2)=1−P(X≤1)=1−0.773=0.227.
Answer:
Essentially, psychology helps people in large part because it can explain why people act the way they do. With this kind of professional insight, a psychologist can help people improve their decision making, stress management and behavior based on understanding past behavior to better predict future behavior. All of this can help people have a more successful career, better relationships, more self-confidence and overall better communication.
Explanation:
The
conclusion of V.O. Key, Jr., about the voting study literature or the electoral
behavior is that it gives a vivid impression of the variety and subtlety of
factors that enter into individual voting decisions. He, V.O. Key, Jr., also
discuss about the theories on how voters behave become important because
candidates and their advisers are aware of them, and act as if voters' behavior
conforms to the theories.
Answer:
0.027 cubic ft/min
Explanation:
Volume of water is V=V(t) Depth of water is h=h(t)
The relationship between V and h is
V=π/3.r2.h
Let
h0= the height of the cylinder = 24ft, r0= the radius of the opening = 10ft.
Since water level (h) rise with respect to flow rate we find an expression for r and substitute into V
r/h = r0/h0= 10/24 = 5/12
r = (5/12) h,
Substitute for r in V
so,
V=1/3.π.(h2)square = 1/3.π. 25/144.(h3)
When
h= 16ft
and dV/dt = 20ft3/min
,
dV/dt =1/3*π*25/144*h3*(dh/dt)
20ft3/min= 1/3*π* 25/144*h3*(dh/dt)
20 = 1/3*π*(16)3.(dh/dt)
Make dh/DT subject of formula
dh/dt=(20*3*144)/(25*π*4096) = 8640/321740.8
=
dh/dt= 0.027 ft3/min
