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
It will take her about 67 minutes .. ( rounded )
The answer is the first option, <-20, -42>.
We can find this by first finding what -2u would equal by multiplying <5, 6> by -2. This gives us <-10, -12>.
Then we need to find out what 5v is equal to, by multiplying <-2, -6> by 5 to get <-10, -30>.
Now that we know what -2u and 5v are, we can substitute them into the equation and get
<-10, -12> + <-10, -30>, which we can split up into -10 - 10 = -20, and -12 - 30 = -42, so your final answer is <-20, -42>.
I hope this helps!
The length of side b is 7.61 m.
Here's how the length was calculated:
Let:
length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees
In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.
A = 180 - (36 + 75) = 69 degrees
by using the law of sines:
a / sin A = b / sin B = c/ sin C
we will substitute the given values:
12 / sin (69) = b / sin (36)
b = unknown
12 / 0.93 = b / 0.59
12.9 = b / 0.59
b = 12.9 * 0.59
b =7.61 cm (length of side b)