To get the perimeter of the trapezoid, we will add the lengths of the 4 sides together.
So, first we will need to get the length of each side.
Base of trapezoid = 8 - 2 = 4 unitsThe upper edge of the trapezoid = 6 - 4 = 2 unitsNow, for the two side edges, we can note that
they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 unitsFrom the above, we can now easily get the perimeter as follows:perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units
Based on the above calculations, the best choice would be:D. 8 + 2√29 units
Answer:
San Francisco with average speed of 639 km/hour
Step-by-step explanation:
Phoenix 3 1,689
Minot 2 913
San Francisco 4 2,556
Phoenix average speed = distance travelled / time taken
= 1,689 km /3 hours
= 563 km/hour
Minot average speed = distance travelled / time taken
= 913 km / 2 hours
= 456.5 km/hour
San Francisco average speed = distance travelled / time taken
= 2,556 km / 4 hours
= 639 km/hour
The fastest average speed flight is San Francisco with an average speed of 639 km/hour
Sqrt(50) = sqrt(25*2) = sqrt(25) * sqrt(2) = 5*sqrt 2, answer is A
Answer:
0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan
Step-by-step explanation:
The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:

In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
50 major customers, 15 would accept the plan.
This means that 
The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.
This means that 
a. What is the probability that exactly two of the selected major customers accept the plan
This is P(X = 2).


0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan