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Karo-lina-s [1.5K]
3 years ago
12

The intelligence quotient (iq) test scores are normally distributed with a mean of 100 and a standard deviation of 15. what is t

he probability that a person would score 130 or more on the test?
Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0
                                                        x - 100
Calculate the relevant z-score = ----------------
                                                             15
                            130-100              30
Here, this is z = ----------------- = ----------- = 2
                                     15               15

130 would be 2 std. dev. above the mean here.  

Your job would be to calculate the area under the std. normal curve to the right of z = 2.  Using my TI-83 Plus calculator's built-in normalcdf( function, I found that this probability is 1.00 - 0.977    =    0.023.
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The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

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The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\

Substituting the coordinate points:

A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2

Recall that:

A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h=   1.6 units

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: brainly.com/question/17335144

8 0
2 years ago
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Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.

For us to get a scale copy of the dimension, we need to first find the scale factor as shown;

Given the measure of rectangle A:

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To get all of the measurement pairs that could be the dimensions of Rectangle  B, we need to multiply the length and width by the same factor

Multiplying by 1/2

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New width = 3 × 0.5 = 1.5cm

Hence 6cm by 1.5cm can be dimension of B

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New length = 12 × 1.5 = 18cm

New width = 3 × 1.5 = 4.5cm

Hence 18cm by 4.5cm can be dimension of B

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