Ahighly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 24. what is the minimum score that an applicant must make on the test to be accepted?

The minimum score that an applicant must make on the test to be accepted is 360.

Step-by-step explanation:

Given : A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 24.

To find : What is the minimum score that an applicant must make on the test to be accepted?

Solution :

We apply the z formula,

Where, z value= 2.5

is the mean of the population

is the standard deviation

x is the sample mean.

Substituting the values in the formula,

Therefore, The minimum score that an applicant must make on the test to be accepted is 360.

answer: the equation matches the regression

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions