Answer:
Step-by-step explanation:
1) 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".
Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Calculate the probability
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
Answer:
A triangular scarf is an isosceles right triangle.
Step-by-step explanation:
Given: A scarf is a triangle with two perpendicular sides that are the same length.
We have to name which two terms describe a triangular scarf.
Isosceles triangle is a triangle with length of two of its sides equal.
Right angled triangle is a triangle in which one angle is a right angle.
Given :
The two sides of scarf are perpendicular to each other.
Thus, the angle formed between them is 90°. Hence, right angled triangle.
Also, length of two sides are same, Hence isosceles triangle.
Thus,a triangular scarf is an isosceles right triangle.
Answer:
D
Step-by-step explanation:
perpendicular to 2 =x is -1/2x, and (0,-3) just happens to be on the y intercept so its -1/2x - 3
Answer:
no because complementary angles equal 90 degrees and supplementary angles equal 180 degrees