For this it would be helpful if you draw a diagram of the situation. You will see that a right triangle can be formed from the problem. We use trigonometric functions to solve. We do as follows:
sin 40 = 50/y
tan 40 = 50/x
Solving we obtain,
x = 60 mi
y = 78 mi
Hope this answers the question. Have a nice day.
Answer:
And using the probability mass function we got:
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "number of students graduated", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:
And using the probability mass function we got:
And replacing we got:

Answer:
7 boxes will be needed.
Step-by-step explanation:
7x12=84. So enough room but with some space left.
6 is not enough. 6x12=72. Which will not hold 8 of the games.
Answer:
1. >
2. <
3. =
Step-by-step explanation:
The GCF of 18 and 30 is 6