Answer: 
Step-by-step explanation:

Multiply by the reciprocal in order to get rid of the fraction in the denominator.



For this case, what you should do is use any computational tool and graph the data in the table. For example, I used excel.
In the x axis we have Starting temperature and in the axis of the y we have Ending temperature.
You can see how the diagram varies almost linearly.
Answer: The probability of getting a prime number exactly five times = 0.1908
Step-by-step explanation:
Prime numbers from 1 to 30 are 2,3,5,7,11, 13, 17, 19, 23, 29.
The probability of getting a prime number p= 
Number of trials n = 12
Binomial probability formula:

, where x= number of successes
n= number of trials.
x = Number of successes
p= probability of getting one success.
The probability of getting a prime number exactly five times:


Hence, the probability of getting a prime number exactly five times = 0.1908
Problem 1
Answer: Choice B. X is greater than or equal to 4
The closed circle at 4 indicates that this value is included in the solution set. So we will have an "or equal to" as part of the answer. The shading to the right suggests "greater than". Combine "greater than" and "or equal to" and we have a "greater than or equal to" sign.
===================================================
Problem 2
Everywhere is shaded but -4 on the number line. So x can be any number but -4. The answer isn't listed (probably got cut off), but it should be
(x is not equal to -4). The slash through the equal sign means "not equal to"
Let the three apartments be A, B & C
The rent of A is $x
The rent of B is $y
The rent of C is $z
So x + y + z = 1600 .......(1)
Now
Maintenance of A is 20% of x = 0.20x
Maintenance of B is 20% of y = 0.20y
Maintenance of C is 25% of z = 0.25z
0.20x + 0.20y + 0.25z = 345
Multiplying by 100 we get
20x + 20y + 25 z = 34500
Dividing by 5 we get
4x + 4y + 5z = 6900 .......(2)
Monthly fee of A is 10% of x = 0.10x
Monthly fee of B is 20% of y = 0.20 y
Monthly Fee of C is 10% of z = 0.10z
Now
0.10x + 0.20y + 0.10 z= 1820 - 1600
0.10x + 0.20y + 0.10z = 220
Multiplying by 100 we get
10x + 20y + 10z = 22000
Dividing by 10
x + 2y + z = 2200 ....(3)
Making a Matrix of equation (1), (2) & (3)
![\left[\begin{array}{ccc}1&1&1\\4&4&5\\1&2&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1600\\6900\\2200\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C4%264%265%5C%5C1%262%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1600%5C%5C6900%5C%5C2200%5Cend%7Barray%7D%5Cright%5D%20%20%20)
is the required matrix