Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6
Step-by-step explanation:
Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1
A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!
a) 0 and 0.01 = The event is impossible, it would never occur.
b) 0.99 and 1 - The event is certain, it would always occur.
c) 0.3 - The event is highly unlikely, but it will occur once in a while.
d) 0.6 - The event will occur more often than not.
Answer: x = 8
Step-by-step explanation: 1/4(x+12)=5 is the same as 1/4x + 3 = 5. 1/4 of 8 is 2. 2+3=5.
An inequality that represents this equation would be:
x ≤ 475
They cant spend more than $475, so they can spend less than or $475 as represented in the question.
Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:
and 
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:
Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>
<u>Section B</u>
Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.
It is 25 times greater. This is because 
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
Answer:
A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length
Step-by-step explanation:
