Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


Answer:
Therefore the Last option is correct

Step-by-step explanation:
Given:
Radius = r = 8 in
θ = 42°
To Find:
Area of Sector = ?
Solution:
We know that

Substituting the given values in the formula we get

Which is the required Answer.
Therefore the Last option is correct

Answer:
4 miles
Step-by-step explanation:
In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.

We can now cross multiply to find the value of x.

So the car can travel 4 miles in 0.5 hours.
Hope this helped!
We can re-group them to add more easily.
300 + 400 = 700
42 + 16 = 58
700+58 = 758
Answer: 758