A highly selective boarding school will only admit students who place at least standard deviations above the mean on a standardized test that has a mean of and a standard deviation of . What is the minimum score that an applicant must make on the test to be accepted?

The given questions seems incomplete below is the correct question

A highly selective boarding school will only admit students who place at least 1.5 standard deviations above the mean on a standardized test that has a mean of 200 and a standard deviation of 26. What is the minimum score that an applicant must make on the test to be accepted?

Minimum score is 239

Step-by-step explanation:

Minimum score  = mean + standard deviation above mean*standard deviation

                            = 200 + 1.5*26

                            = 200+ 39

Minimum score  = 239

ABC is a line segment.

→∠A B D + ∠ C B D=180°→[By Linear pair Axiom]

→∠A B D+90°=180°

→∠A B D=90°

In ΔA B D and Δ C B D

AB=BC →[Given]

∠A B D = ∠ C B D→[Each being 90°]

BD is common.

→ΔA B D ~ Δ C B D→→[SAS]

AD=DC→→[C P CT]

BC=AB→[Given]

Segment AD must be congruent to DC.

Segment BC must be congruent to AB.