Given:
Rolling a fair dice.
To find:
The theoretical probability of rolling a number less than 5.
Solution:
The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.
Total outcomes = 6
Numbers less than 5 are 1, 2, 3, 4.
Favorable outcomes = 4
Now, the theoretical probability of rolling a number less than 5 is:
![\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
![\text{Probability}=\dfrac{4}{6}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B4%7D%7B6%7D)
![\text{Probability}=\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
In decimal form, it can be written as:
![\text{Probability}\approx 0.67](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%5Capprox%200.67)
In percentage form, it can be written as:
![\text{Probability}=\dfrac{2}{3}\times 100](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%20100)
![\text{Probability}\approx 66.67%](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%5Capprox%2066.67%25)
Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are
and
respectively.
The last image is the graph of ![y = 3^x](https://tex.z-dn.net/?f=%20y%20%3D%203%5Ex%20)
In fact, it is an increasing exponential function, and it passes through the points
, which reflects the fact that
and
, which reflects the fact that
.
Now,
is a child of the parent function we just described. Precisely, it is the result of the transformation ![f(x) \to f(x-4)](https://tex.z-dn.net/?f=%20f%28x%29%20%5Cto%20f%28x-4%29%20)
In general, every time you perform a transformation like
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
It's 3/2. wat else u need?
Answer:
it looks like it would just be -1
Step-by-step explanation:
there two -x and two positive x which would cancel out. three positive 1 and four negative 1. -4+3= -1
that's the best I could come up with
Answer:
9.9 millimeters
Step-by-step explanation:
To find the perimeter of a square,
Equation: 4 • length = P
So in this case, we're just working backwards. To find the length, divide.
39.6/4 = 9.9