Apothem - a line from the center of a regular polygon at right angles to any of its sides.
Answer: A. Apothem
Answer:
a) 0.71
b) 0.9863
Step-by-step explanation:
a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000
-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:

Hence, the probability of a house price below $500,000 is 0.71
b. -Let X be the mean price of a randomly selected house.
-Since the sample size 40 is greater than 30, we assume normal distribution.
-The probability can therefore be calculated as follows:

Thus, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:

Using Law of Cosines in triangle OPQ, we get




On further simplification, we get




Therefore, the measure of angle P is 79 degrees.
Answer:
Step-by-step explanation:
1) 30 : 100 = x : 299
x = (30 x 299)/100
x = 89,70 $
2) 299 - 89,70 = 209,30 $
3) 5 : 100 = x : 209,30
x = 10,465 $
209,30 + 10,465 = 219,77 $