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
Hi there!
Answer:
length = 9 kilometres
Width = 12 kilometres
Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.
Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.
The area of a rectangle can be found by using the formula:
A = width × length
Plug in the data from the formula
A = x (2x - 6).
Simplify using rainbow technique.

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

Subtract 108

Divide by 2.


Rule AB = 0, gives A is 0 or B is 0.

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).
Length

Width

Answer:
length = 9 kilometres
Width = 12 kilometres
~ Hope this helps you!
20-(2x6) +8 divided by 4
2 times 6 = 12
8/4 = 2
20-12+2
It would be 14 not 29
He used PEMDAS in the wrong order
Running burns the most calories folwed by aerobic
so max out the most and min the least
most running
running has no limit, so see least
aerobic, aerobic has to be at most 30 (less than 30)
rowing has to be at least 15 mins
say row=15 mins
then you have 45 mins left
max out on running (minus 1 tho to do running)
so
44mins running 1 min run, 15min row
total calories=507 calories burned
the way to do it is
x=running minutes
y=aerobic minutes
z=rowing minutes
x+y+z=60
9x+6y+7z=max calories
x≥5
y≤30
z≥15
those are the equations
not sure what the objective function is