Answer:
The mean is 24.205
Step-by-step explanation:
Firstly, we need to get the z-score
From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way
So the probability we had was;
P( x > 22)
So we need the z-score corresponding to 63.70% or simply 0.637
We can use the standard normal distribution table to get this
Mathematically, from the standard normal distribution table this is -0.35
z-score = (x- mean)/SD
-0.35 = (22-mean)/6.3
22-mean = -2.205
mean = 22 + 2.205 = 24.205
Answer:
All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles). All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). All sides are congruent by definition.
For it to be a right triangle, it must have a right angle.
Right angles are formed by perpendicuar lines.
If we find that two of these lines are perpendicular, we will know it is a rt. triangle.
Perpendicular lines have slopes which are opposite reciprocals (like 3 and -1/3)
To find the slope between two points, use the formula

.
For line AB:

For line AC:

For line BC:

-2 and 1/2 are opposite reciprocals, so this must be a right triangle.
<em>
</em><em>Another way to do this would be to use the distance formula to find the three side lengths and see if the Pythagorean Theorem applies.</em>
This is actually a simple division problem. First, let as express this as a fraction. So in order to express it as 68 out of 80, we just have to write the fraction as 68/80. If we would express this in simplest form, then it will 17/20. After that, we will have express it as a decimal. To do this, we just have to divide it in order to get the decimal form. So if we do this, we will get an answer of 0.85. Now in order to turn it into a percentage, we have to multiply it by 100 and you will get 85%