Answer:
3) (98.08, 124.16)
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 111.12
Standard deviation = 13.04
Calculate an interval that is symmetric around the mean such that it contains approximately 68% of fines.
68% of the fines are within 1 standard deviation of the mean speed. So
From 111.12 - 13.04 = 98.08 to 111.12 + 13.04 = 124.16
The interval notation in the smallest value before the highest value.
So the correct answer is:
3) (98.08, 124.16)
Answer:
(f•g)(-5) = -238
Step-by-step explanation:
We have that:
f(x) = -3x + 2
g(x) = 4x + 6
Find (f•g)(-5).
First we find (f.g)(x)
So
f(x)*g(x) = (-3x + 2)*(4x + 6) = -12x² -10x + 12
When x = -5
-12(-5)² - 10(-5) + 12 = -238
(f•g)(-5) = -238
Answer:
any picture or can you tell us what the amounts stand for?
Answer:
135°
Step-by-step explanation:
formula = (n-2) * 180, whereby 'n' is the number of sides.
therefore, (8-2) * 180 = 1080°
1080° ÷ number of sides
= 1080° ÷ 8
= 135°
Answer:
Step-by-step explanation:
Given that A is a square matrix and A is idempotent
Consider I-A
i)
It follows that I-A is also idempotent
ii) Consider the matrix 2A-I
So it follows that 2A-I matrix is its own inverse.