Answer:
And for this case we know this condition:
By the complement rule we know that:
But since the distribution is symmetrical we know that:
So then the statement for this case is FALSE.
b. False
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:
And for this case we know this condition:
By the complement rule we know that:
But since the distribution is symmetrical we know that:
So then the statement for this case is FALSE.
b. False
Answer:
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.
If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:
→ 
In this case, the vertices of the triangle JKL (the Pre-Image) are:
Knowing that the scale factor is:
You get that the vertices of the triangle J'K'L' (Image), are:
Answer:
0.0010,0.2743
Step-by-step explanation:
Given that Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 15
If x represents the scores then
X is N(100,15)
a) See enclosed file
b) Z score =
c) the probability that a randomly selected person has an IQ test score
i. Over 145.
=
ii. Under 91
=
I think it’s pretty interpretative, the reason I didn’t divide 483/2 like you would normally with a triangle, is because there are 2 triangles in a trapezoid. Also you can split the two triangles off the trapezoid because in a trapezoid the train for will awkward be right.
Answer:
25.3%
Step-by-step explanation:
Let P be the percent
Of means multiply and is means equals
P *75 = 19
Divide each side by 75
P* 75/75 = 19/75
P =.25333333
Change from decimal to percent form
P = 25.33333333%
Rounding to one decimal
25.3%
