Answer:
So about 95 percent of the observations lie between 480 and 520.
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 deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
Answer:
18.4 feet
Step-by-step explanation:
-use the formula C^2 = A^2 + B^2 for a right triangle, which is made by the ladder and the wall.
-let the ladder be C, the wall be a, the base to the bottom be b.
-substitude into the equation, which will leave us with:
C^2 = 17^2 + 7^2
C^2 = 289 + 49
C^2 = 338
C = square root of 338, which is 18.4 feet!
Answer: D) vertical angles theorem, alternate interior angles theorem
Angle 5 = Angle 6 by the alternate interior angles theorem
Angle 5 = angle 4 by the vertical angles theorem
By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.
We won't use the angle addition theorem or the right angles theorem.
BD is equal to 120 because when you find the hypotenuse of triangle GEB, you just have to multiply it by 1.5.
Answer:
They might be the same type of triangle
Step-by-step explanation:
