<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The most famous of the step functions is the greatest integer function, which is denoted by the parent function
.
So, this function is defined as:
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at
and
in the interval
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function
represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.
(a) Average time that it would take reach school can be obtained by adding the average times.
8+20 = 28 minutes.
(b) Standard deviation of the trip to school can be found as:

Therefore, standard deviation of the entire trip is 4.47 minutes.
(c) Let us first find z score corresponding to 30 minutes.
We need to find the probability such that 
Therefore, the required probability is 0.67.
(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.
(e) Standard deviation won't change it will remain 4.47
(f) The new probability will be:


Therefore, probability will be 0.50.
Answer:
2/3 can't be divided because it's in its lowest form so you can reduce it
Answer:
the answer is 7 units
Step-by-step explanation:
Answer:
x=all real numbers
Step-by-step explanation:
1. distribute: 5(x+6)-2x=3(x+10)
5x+30-2x=3x+30
2. combine like terms 3x+30=3x=30
3. these are equal therefore x=all real numbers