Events
• A: an even number is rolled in the first time
,
• B: a number greater than 3 is rolled the second time
The probability of rolling an even number is:
![\begin{gathered} P(A)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(A)=\frac{3}{6} \\ P(A)=\frac{1}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28A%29%3D%5Cfrac%7B%5Ctext%7B%20number%20of%20favorable%20outcomes%7D%7D%7B%5Ctext%7B%20total%20possible%20outcomes%7D%7D%20%5C%5C%20P%28A%29%3D%5Cfrac%7B3%7D%7B6%7D%20%5C%5C%20P%28A%29%3D%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bgathered%7D)
The probability of rolling a number greater than 3 is:
![\begin{gathered} P(B)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(B)=\frac{3}{6} \\ P(B)=\frac{1}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28B%29%3D%5Cfrac%7B%5Ctext%7B%20number%20of%20favorable%20outcomes%7D%7D%7B%5Ctext%7B%20total%20possible%20outcomes%7D%7D%20%5C%5C%20P%28B%29%3D%5Cfrac%7B3%7D%7B6%7D%20%5C%5C%20P%28B%29%3D%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bgathered%7D)
Events A and B are independent, then the probability of one happening after the other is:
Answer:
The third choice: (x² - 1)³
Step-by-step explanation:
That is the only expression that is a binomial. Binomial means "two numbers". For this expression, x² is one number, and -1 is the other. Choice 1 is a monomial (one number) and choices 2 and 4 are trinomials (three numbers)
Answer:
x = all real numbers because this equation is an identity
Step-by-step explanation:
9 (1/3) = 9*1/3 = 3
3 + 8x = 4(2x + 3/4)
3 + 8x = 8x + 3
x = all real numbers because this equation is an identity
Reflecting a function across the x-axis means to change the sign of the function itself: you're mapping ![f(x)\mapsto -f(x)](https://tex.z-dn.net/?f=f%28x%29%5Cmapsto%20-f%28x%29)
So, if you have a x/y values table, you simply have to change sign to all the values in the y column.
Answer: it is 6
Step-by-step explanation: because they are the same length.