The problem above is an example of conditional probability. From the name itself, it gives you a condition that a certain event has already happen, or is sure to happen. In this case, the probability would be 100% or 1. The condition says that the probability is 100% if the packages are more than 3. Since, 4 is considered to be more than 3, then the probability is 100%.
Answer:
They took 4,180 minutes total to complete the course.
Step-by-step explanation:
The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:
total time = average*number of members = 110*38 = 4180 minutes
They took 4,180 minutes total to complete the course.
Answer:
45°
Step-by-step explanation:
= 45°
Answer:
Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.
Step-by-step explanation:
Point A is (-4,6)
Point B is (-12,-12)
Point C is (6,-18)
Point D is (13,-1)
Given that the diagonals of a square are perpendicular to each other;
We know that the product of slopes of two perpendicular lines is -1.
So, slope(m) of AC × slope(m) of BD should be equal to -1.
Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4
Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44
The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056
Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.
Answer:
-1.2 Degree Fahrenheit.
Step-by-step explanation:
Since,
The average daily changes, total changes/number of days
Here,
The total changes = - 16.8° F ( - sign shows the decreasing )
And, the number of days = 14
So,
The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.
