Using the Pythagorean theorem:
a^2 + b^2 = c^2
A and B are the sides and c is the hypotenuse.
4^2 + 5^2 = c^2
Simplify:
16+25 = c^2
41 = c^2
Take the square root of both sides:
c=√41
Answer: The correct answer is Choice D.
This is an example of an exponential equation. They are in the form of y=ab^x, where a is the starting value, b is the rate and x is the number of years.
Our data starts at 2500 and increases by 5%, or 100% + 5% = 1.05.
If you put them together, you have the equation y = 2500(1.05)^x, Choice D.
Answer:
False
Step-by-step explanation:
If the value is a root of the polynomial, then the remainder will be 0. This means that the root as a factor will multiply to make the polynomial.
Answer:
Job has the weakest association with the dependent variable income.
Step-by-step explanation:
The correlation coefficient is used to determine the the strength and direction of the relationship between two variables.
It is denoted by <em>r</em> and the value of <em>r</em> ranges from -1.00 to 1.00.
The correlation data provided is as follows:
Income Education Job Age
Income 1.000
Education 0.677 1.000
Job 0.173 -0.181 1.000
Age 0.369 0.073 0.689 1.000
The dependent variable is the income.
And the variables Education, Job and Age are independent variables.
The correlation between Income and Job is 0.173.
This is the lowest correlation coefficient between the dependent and independent variable.
Thus, Job has the weakest association with the dependent variable income.
Answer:
4 is in the hundredths 1 is in thousandths 9 is in the 10 thousandths