Considering the area of the right triangle, it is found that Salome used a scale factor of 1/2 to go from triangle R to triangle T.
<h3>What is the area of a right triangle?</h3>
The area of a right triangle is given by half the multiplication of the lengths of it's sides.
In this figure, we have that the sides have lengths of 4 and 5 units, hence the area is given by:
A = 0.5 x 4 x 5 = 10 square units.
The area is one fourth of the area of triangle R. Since we are dealing with an area, that works in squared units, the scale factor is given by:
S = sqrt(1/4) = 1/2.
Hence Salome used a scale factor of 1/2 to go from triangle R to triangle T.
More can be learned about the area of a right triangle at brainly.com/question/28230160
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Answer: 3x^2 - 3
Step by step explanation:
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
The first working out is correct, z = 3
