Answer:
0.0105
Step-by-step explanation:
given that 30% of all houses need a paint job. Also, 15% of all houses need both a paint job and a new roof. Further, 7% of all houses that need a new roof also need new windows.
If total houses are 100, then 30 require a paint along. 15 require both paint and new roof.
Out of 15 houses which require new roof 7% need new windows
i.e. no of houses which need new windows = 
If there are total 100 houses, 1.05 houses require a new window
So probability that a randomly selectede house needs a new window
= 0.0105
Answer:
40°
Step-by-step explanation:
Angle 1 and Angle 2 are corresponding angles.
Corresponding angles are congruent, so 3x + 4 = 5x - 20
Solving 3x + 4 = 5x - 20
3x = 5x - 24
2x = 24
x = 12
Substitute angle 1
3x + 4 = 36 + 4 = 40
Answer:
A = 2, the number is 3221
Step-by-step explanation:
In order for the number to be divisible by 9, the sum of it's digit has to be divisible by 9.
In our case,
where k is an integer. the easiest way happens when k=1

Higher values of k will likely most work (with k=2 you get A to be a non-integer, which can't work since it's the digit of a number, and with higher values of K you're not getting a number in base 10.
Answer:

Step-by-step explanation:

DE :
If y is a solution of given DE then it satisfied the DE.
Differentiate w.r.t t

Using the formula

LHS:
RHS

By using the formula

LHS=RHs
Hence, y is a solution of given DE

Answer:
11/12
Step-by-step explanation:
55/60 reduced by a factor of 5 becomes 11/12