16,900,000 in scientific notation is 16.9 times 10^7.
When you move the decimal point to the 1, it goes 7 spaces to the left, so the exponent will be a positive 7.
9514 1404 393
Answer:
f⁻¹(x) = √((3 -x)/3)
Step-by-step explanation:
A function gives you a y-value for each value of x.
y = f(x)
__
An inverse function tells you the x value that produced a given y-value. It is the solution to the equation ...
x = f(y)
So, we want to find y for ...
x = -3y² +3
x -3 = -3y² . . . . . . . . . . . subtract 3
(x -3)/-3 = y² . . . . . . . . . divide by -3
√((x -3)/-3) = y . . . . . . . take the square root.
The requirement for x > 0 in the original function means y > 0 for the inverse function. That is why we use the positive square root.
This can be simplified a little bit to remove the minus sign from the denominator.
f⁻¹(x) = √((3 -x)/3)
__
The graph plots the function and its inverse. They are reflections of each other over the line y=x. (That's one way you can tell you have the correct inverse function.)
Answer:
The graph that matches is D.
Answer:
Step-by-step explanation:
Given that researchers wondered whether the size of a person's brain was related to the individual's mental capacity
They selected a sample of 5 females and 5 males and measured their MRI counts and IQ scores.
The data is reported to the right. Complete parts (a) through (d) below.
We want scatter plot for IQ vs MRI in general.
So we group data into two columns X for MRI and Y for IQ and draw scatter plot
MRI IQ
816932 133
1001121 140
833868 132
856472 140
866662 130
1038436 139
1079550 141
924059 136
a) Scatter plot is attached as a file
b) correlation coefficient = Cov (x,y)/S_x S_y = 0.729889
B) Yes, MRI count and IQ are linearly related since the linear correlation coefficient is _____.0.729889 >0.5 and near to 1 than to 0
There is a positive moderate correlation between x and y (linear)
Answer: a) 145
b) 35
c) 145
d) 153
e) 27
f) 153
Step-by-step explanation:
The line in the center represents 180 degrees which is half of a circle. With the number 35, you can subtract that from 180 and you get your angle next to your 35 angle. (sorry if I sound confusing, Im not the best at explaining :)
