5. On a recent statewide math test, the raw score average was 56 points with a standard deviation of 18. If the scores were normally distributed and 16,000 students took the test, answer the following questions.
(a) What percent of students scored below a 20 on
the test? (5 pts)
(b) How many students scored more than a 38? (5)
(c) If the state would like to scale the test so that a
90% would correspond to a raw score that one
and a half standard deviations above the mean,
what raw score is needed for a 90%? (5)
(d) How many of the 16,000 students receive a scaled
score greater than a 90%? (5)
(1) What should the raw passing score be set at so
that no more than the students fail? (5)
(e) The state would like no more than 17 of the
16000 students to fail the exam. What percent of
the total does the 275 represent? Round to the
nearest tenth of a percent. (5)

the area of ​​the surface of the rectangular prism here is 250 cm2, which is the surface of the shading

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.