Answer:
triangle 4
Step-by-step explanation:
Translation is moving a shape without rotating or resizing. So in this case it'll be 4.
The formula to find the circumference of a circle is C=2*pi*r.
Substitute 9 1/4 or 9.25 for r.
C=2*pi*r
C=2*pi*9.25
C=18.5pi
The circumference of the circle would be 18.5pi.
Answer:
See explanation
Step-by-step explanation:
Given that 9 cups of macaroni requires 27 cups of water
Therefore, 1 cup of macaroni will require 27/9 = 3 cups of water
Now i can help you to work out the correct way of filling the table;
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 9 cups of water
x = 9 *1/3
x = 3 cups of macaroni
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 33cups of water
x = 33 *1/3
x = 11 cups of macaroni
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 21 cups of water
x = 21 *1/3
x = 7 cups of macaroni
If 1 cup of macaroni requires 3 cups of water
x cups of macaroni will require 27 cups of water
x = 27 *1/3
x = 9 cups of macaroni
Use this to tick the table.
Answer:
The correct answer is:
Step-by-step explanation:
Given that:
![h(x) = f\circ g(x)= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20f%5Ccirc%20g%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
![f(x) = \sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%2B2%7D)
To find:
Solution:
Let 
We have
![f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=f%5Ccirc%20g%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D%5C%5COR%5C%5Cf%28%20g%28x%29%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
...... (1)
Now, we have let:
Putting x = in f(x), we get
![f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%2B2%7D%5C%5C%5CRightarrow%20f%28m%29%20%3D%20%5Csqrt%5B3%5D%7Bm%2B2%7D)
....... (2)
Comparing equation (1) and (2):
![\sqrt[3]{x+3} =\sqrt[3]{m+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D%20%3D%5Csqrt%5B3%5D%7Bm%2B2%7D)
Taking cubes both sides:
Hence,
The <em>correct answer </em>is:
Answer:
The probability that she wins exactly once before she loses her initial capital is 0.243.
Step-by-step explanation:
The gambler commences with $30, i.e. she played 3 games.
Let <em>X</em> = number of games won by the gambler.
The probability of winning a game is, <em>p</em> = 0.10.
The random variable <em>X</em> follows a Binomial distribution, with probability mass function:
Compute the probability of exactly one winning as follows:
Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.
