Answer:

Step-by-step explanation:
Given
Regression Equation:

Required
Determine the slope of the regression line
The equation of regression is of the form

Where b represents the slope;
Compare
to the given equation

We have that:




Hence; the slope is:

Answer:
1.49 hrs or 1 hr and 30 minutes approximately
Step-by-step explanation:
if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.
so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.
now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.

to find the time divide distance traveled by speed;
4.160/2.8 = 1.49 hrs
Answer:
f=2
Step-by-step explanation:
f(x-2)=2x-4
divide x-2 to 2x-4
f=2
f(2-2)=4-4
Answer:
10010110
Step-by-step explanation:
A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:
10000000
Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:
10010000
We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:
10010100
What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:
10010110
Answer:
4
Step-by-step explanation:
The factors are:
1, 2,4