Answer:
y < x
Step-by-step explanation:
equation of line can be derived by finding slope and y-intercept
in this case the slope is 1 and the y-intercept is 0
equation is y = x
however, this is an inequality so answer is one of the following:
y > x or y < x
pick a point in the shaded region (these are the 'solutions'), let's pick (1, -1)
x = 1 and y = -1
which one is true? -1 > 1 or -1 < 1
-1 < 1 is the true one so inequality is y < x
Answer:
c=1/4d
Step-by-step explanation:
Answer:
-45, -44, -43
Step-by-step explanation:
Let the smallest consecutive integer be x. Consecutive integers have a difference of 1, so the next consecutive integer must be x+1, and the next is x+2. Since they all add up to -135, we can form this equation: x+x+1+x+2=-132. When you solve, x should be -45, which is the smallest in the set. So the next must be -45+1=-44, and the next is -44+1 which is -43.
Using a tree diagram you can see that the probability is 1/(7^7) or 1/823543. This is about 0.0001%
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)
