Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points. suppose that the top 4% of the exams will be given an a+. in order to be given an a+, an exam must earn at least what score?

89.008

Step-by-step explanation:

z = (x– mean)/ standard deviation

x = z * standard deviation + mean

Now, z value for the top 4% of the exams (which is the same as getting a score below the 96%) has to be found using a z table.

In this case z = 1.751

x = 1.751 * 8 + 75

x = 89.008

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5