Answer:
$46
Step-by-step explanation:
100% of 40 is 40. 10 percent of 40 is 4. 5% of 40 is 2. 40+4+2=46.
9514 1404 393
Answer:
x = 5, x = 11
Step-by-step explanation:
Set f(x) = 0 and solve for x.
0 = (x -8)² -9
9 = (x -8)² . . . . . add 9
±√9 = x -8 . . . . . take the square root
±3 +8 = x . . . . . . . add 8
That is, ...
x = 8 -3 = 5 . . . . lesser x
x = 8 +3 = 11 . . . greater x
Answer:
The sample size to obtain the desired margin of error is 160.
Step-by-step explanation:
The Margin of Error is given as
![MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=MOE%3Dz_%7Bcrit%7D%5Ctimes%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Rearranging this equation in terms of n gives
![n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2](https://tex.z-dn.net/?f=n%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2)
Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as
![n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n](https://tex.z-dn.net/?f=n_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM_2%7D%5Cright%5D%5E2%5C%5Cn_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%2F2%7D%5Cright%5D%5E2%5C%5Cn_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B2%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D2%5E2%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D4%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D4n)
As n is given as 40 so the new sample size is given as
![n_2=4n\\n_2=4*40\\n_2=160](https://tex.z-dn.net/?f=n_2%3D4n%5C%5Cn_2%3D4%2A40%5C%5Cn_2%3D160)
So the sample size to obtain the desired margin of error is 160.
Answer:
Rotate 90 degrees clockwise around the origin and then translate down. Reflect across the x-axis and then reflect across the y-axis.
Step-by-step explanation:
Reflection across the y-axis. 90o counter clockwise rotation. 2. Multiple-choice. 1 minute. Q. Identify the transformation from ABC to A'B'C'. Draw the final image created by reflecting triangle RST in the x-axis and then rotating the image 90° counterclockwise about the origin. BER goo Clockwise 90c ...C-level G2-1 Reflections and Rotations ... X-axis. 00. G2-2 Rotations. 4. Rotate the figure 90° clockwise around the origin. ... Rotation 90° counter.