Answer:
2.56% chance of being selected
Step-by-step explanation:
Given
--- you and 38 others
Required
Chance of you being selected
To do this, we simply calculate the probability using:

Where:
--- i.e you are just 1 person
So:


Express as percentage

Answer: B. 1975
Step-by-step explanation:
Given: The model of population of a certain city between the years 1965 and 1995 by the radical function
![P(x)=75000\sqrt[3]{x-1940}](https://tex.z-dn.net/?f=P%28x%29%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D)
To find the x year at which population is 245,000, put this in equation we get
![245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975](https://tex.z-dn.net/?f=245000%3D75000%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5Cfrac%7B245000%7D%7B17000%7D%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow3.266%3D%5Csqrt%5B3%5D%7Bx-1940%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D%283.266%29%5E3..........%5Ctext%7B%5Bby%20taking%20cube%20on%20both%20sides%5D%7D%5C%5C%5C%5C%5CRightarrow%5C%20x-1940%3D34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1940%2B34.8587%5C%5C%5C%5C%5CRightarrow%5C%20x%3D1974.8587%5Capprox1975)
Hence, at year 1975 the population of the city is 245,000.
Answer:
Let's solve by eliminating x. Since 18 is the lowest common multiple , let's multiply the first equation by 3 and the second by -2.
18x−21y=24
−18x+10y=−2
Add the two equations.
−11y=22
Divide by -11 to isolate y.
y=−2
Substitute y=−2 into either of the 2 equations, I'll just use the second one.
9x+10=1
9x=−9
x=−1
Step-by-step explanation: that is your anwser
Answer: See below
Explanation:
Formula: V = pi x r^2 x h
Pi = 22/7
r = 15 ft
h = 35 ft
=> V = 22/7 x 35 x 15^2
=> V = 22 x 5 x 15^2
=> V = 110 x 225
=> V = 24,750 ft^2