If you would like to write a * b + c in simplest form, you can do this using the following steps:
a = x + 1
b = x^2 + 2x - 1
c = 2x
a * b + c = (x + 1) * (x^2 + 2x - 1) + 2x = x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x = x^3 + 3x^2 + 3x - 1
The correct result would be x^3 + 3x^2 + 3x - 1.
Answer:
The complement event would be: "No rain today"
Its probability would be 70%
Step-by-step explanation:
Given the event:
A= rain today
The probability of rain today is 30%
P(A)=30%=0.3
The complement event has all the values that are not included in the event.
The complement event would be:
A'= No rain today
The probability of a event is the subtraction between 1 and the complement event:
P(A')=1-P(A)
Then, the probability of the event "No rain today" will be:
P(A')=1-0.3=0.7=70%
Answer:
The measure of angle s is 22°
Step-by-step explanation:
Given:
- Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.
- Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.
To find:
- The angle of S, in degrees.
∠1 and 158° are both on a straight line and supplementary.
(Supplementary angles are those angles that sum up to 180 degrees. )
So solving,
⇒ ∠1=180°-158°=22° ....> Angles ∠1 and S are interior angles
Due to lines A and B being parallel, all interior lines are equal.
As a result, the answer is therefore 22°.
