Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
-To estimate the probability that a randomly selected house has a value less than $500,000:

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume normal distribution.
-The probability can therefore be calculated as:

Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
Answer: 6th month
Step-by-step explanation:
Let the month where the plans cost the same be represented by x.
Plan A charges $99 for the phone plus $25 per month. This can be written as:
= 99 + 25x
Plan B charges $39 for a phone and a $35 per month. This can be written as:
= 39 + 35x
We then equate both equations and this will be:
99 + 25x = 39 + 35x
Collect like terms
99 - 39 = 35x - 25x
60 = 10x
x = 60/10
x = 6
The plan will cost the same in the 6th month.
Answer:
180-10x=8x
+10x +10x
180=18x
180/18 = 18x/18
10=x
So therefore in 10 days, both people will have the same amount of money.
(x represents number of days, and we are solving for it.)
Answer:
x = 12
Step-by-step explanation:
I am unable to decipher what "x = 9/36 x/48" means.
I'll assume that the question is to find a value of x such that:
x/48 = 9/36
If so, cross multiply:
36x = (48*9)
36x = 432
x = 12