Answer:
The mean number of adults who would have bank savings accounts is 32.
Step-by-step explanation:
For each adult surveyed, there are only two possible outcomes. Either they have bank savings accounts, or they do not. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
![E(X) = np](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np)
In this problem, we have that:
![p = 0.64](https://tex.z-dn.net/?f=p%20%3D%200.64)
If we were to survey 50 randomly selected adults, find the mean number of adults who would have bank savings accounts.
This is E(X) when
.
So
![E(X) = np = 50*0.64 = 32](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np%20%3D%2050%2A0.64%20%3D%2032)
The mean number of adults who would have bank savings accounts is 32.
Answer:
Area=154.062 ![m^{2}](https://tex.z-dn.net/?f=m%5E%7B2%7D)
Step-by-step explanation:
As Circumference of a circle is given by;
![C=2\times \pi\times r](https://tex.z-dn.net/?f=C%3D2%5Ctimes%20%5Cpi%5Ctimes%20r)
As the circumference is 44m so we can calculate the value of r by using the above formula.
![44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m](https://tex.z-dn.net/?f=44%3D2%5Ctimes%20%5Cpi%20%5Ctimes%20r%5C%5C%5C%5C%5Cfrac%7B44%7D%7B2%5Cpi%7D%20%3Dr%5C%5C%5C%5C%5Cimplies%20r%3D%5Cfrac%7B22%7D%7B%5Cpi%7D%20%3D7.003%20m)
Now to Calculate the Area of a Circle.
As the area of a circle is,
![Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}](https://tex.z-dn.net/?f=Area%20%3D%5Cpi%20%5Ctimes%20r%5E%7B2%7D%5C%5C%20Area%3D%5Cpi%20%5Ctimes%20%287.003%29%5E%7B2%7D%20%5C%5CArea%3D%5Cpi%20%5Ctimes%2049.039%5C%5CArea%3D154.062m%5E%7B2%7D)
Step-by-step explanation:
Volume of displaced water = (10cm)(10cm)(1.6cm)
= 160 cm^3
density = mass/vol of displaced water
= 3088 grams/160 cm^3
= 19.3 g/cm^3
P.S. This is most likely a pure gold medallion.
Answer:
$3,500
Step-by-step explanation:
500:3
3x7=21
500x7=3,500
$3,500 for 21 cilents
The graph for f(x) = sin x <span>is a sinusoidal graph.
</span>f(x) = 2 sin 4x
has an amplitude of 2 or the highest point is 2 and a period of
Period = 3π/4 = π/3
f(x) = 2 sin 4x + 3
<span>the graph is shifted 3 points upward.
</span>