Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
30% probability a randomly selected household has no Internet access given the household owns corporate stock
Step-by-step explanation:
I am going to say that we have two events.
Event A: Owning corporate stock. So P(A) = 0.54.
Event B: Having no internet access. So P(B) = 0.3.
Since they are independent events, we can apply the conditional probability formula, which is:

In which
P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.
is the probability of both events happening.
Since they are independent

So

30% probability a randomly selected household has no Internet access given the household owns corporate stock
Answer:
200 cm
Step-by-step explanation:
2*100= 200
Answer:
42
Step-by-step explanation:
2 times 6 is 12
So 7 times 6 is 42 ounces
Answer:
$71
Step-by-step explanation:
9 + 70 - 8 = 71