Amanda earned a score of 940 on a national achievement test that was normally distributed. the mean test score was 850 with a standard deviation of 100. if 1000 students took the test, how many scored below amanda? use your z table.

First, to find out the number of students who scored below Amanda, we must find the z-score value of Amanda's score using the formula below.



where Z is the z-score, Χ is the expected average value, μ is the mean of Χ, and δ is the standard deviation. Thus, we have




Thus, using the z-table, we have P(Z<0.90) = 0.8159. Since we have wanted to find the number of students who scored below Amanda, then from the whole, we have (1 - 0.8159) = 0.1841. That means, out of 1000 students, 0.1841 of them scored below Amanda. Thus, we have (0.184)(1000) = 184. 

184 students

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.