Here are the steps.
In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)
<span>The center is (-9, -4)</span>
Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.
The slope from center to point (2, -1) is 11/3
Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.
The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11
Answer:
No, it is not okay to conduct the simulation this way.
Step-by-step explanation:
In statistics, simulation refers to a technique that is employed to model random events so that the results obtained from using the simulation is significantly similar to the results obtained from observing the real-world.
Researchers are therefore able to understand the real world when they observe the simulated outcomes.
From the description above, it can be seen that simulation is about studying random events. Therefore, a sample of the population that will be used in the simulation must be selected through a random sampling.
Random sampling refers to the sampling method that gives equal opportunity of being selected to each member of the population. This makes the sample selected through random sampling technique to be an unbiased representation of the total population.
As a result, making up 31 numbers between 1 and 365 by the student is not a random sampling, because his method may favor some numbers over others. It is therefore a defective method of carrying out simulation.
Therefore, the it is not okay to conduct the simulation this way.
I wish you the best.
The answer is 37.21 miles per hour.
Hope this helps!!
The answer to 47/40 as a percentage is 94%
We have been given that in an account an amount of 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months.
We will use compound interest formula to find our answer.
,
Where, P= principle amount, A= amount after T years, n= period of compounding and r = interest rate (decimal).
Let us substitute our given values in our formula.
Therefore, after 8 years and 6 months our amount will be 16505.497.
