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
Line PK is congruent to Line BG
Line PN is congruent to Line BH
Line KN is congruent to Line GH
∠P is congruent to ∠B
∠K is congruent to ∠G
∠N is congruent to ∠H
Answer:
m∠B = 121
m∠C = 59
Step-by-step explanation:
Angle B:

10(14)-19 = 140-19 = 121
Angle C:
(121)2 = 242
360-242 = 118
118/2 = 59