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?
Answer:
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
Answer:
K=21
Step-by-step explanation:
Answer:16x-6
Step-by-step explanation:4(4x-1) distributed is 16x-6
The distance between the two points is 22.14 units
<h3>How to determine the distance between the two points?</h3>
The endpoints of the line segment are given as
(4,9) and (11, -12)
This can be rewritten as
(x, y) = (4,9) and (11, -12)
The distance between the endpoints of the segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (4,9) and (11, -12)
Substitute the known values in the above equation, so, we have the following representation
Distance = √[(4 - 11)² + (9 + 12)²]
Evaluate
Distance = 22.14
Hence, the distance is 22.14 units
Read more about distance at
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Answer:
25
x
2
−
20
x
y
+
180
y
2
Step-by-step explanation:
Factor 5 5 out of 25 x 2 25x2.
5 ( 5 x 2 ) − 20 x y + 180 y 2 5(5x2)-20xy+180y2
Factor 5 5 out of − 20 x y -20xy.
5 ( 5 x 2 ) + 5 ( − 4 x y ) + 180 y 2 5(5x2)+5(-4xy)+180y2
Factor 5 5 out of 180 y 2 180y2. 5 ( 5 x 2 ) + 5 ( − 4 x y ) + 5 ( 36 y 2 ) 5(5x2)+5(-4xy)+5(36y2)
Factor 5 5 out of 5 ( 5 x 2 ) + 5 ( − 4 x y ) 5(5x2)+5(-4xy). 5 ( 5 x 2 − 4 x y ) + 5 ( 36 y 2 ) 5(5x2-4xy)+5(36y2)
Factor 5 5 out of 5 ( 5 x 2 − 4 x y ) + 5 ( 36 y 2 ) 5(5x2-4xy)+5(36y2). 5 ( 5 x 2 − 4 x y + 36 y 2 )