Answer:
The expected value of the number of spades are = 4.25
Step-by-step explanation:
As per the question,
W know that in a standard deck of 52 playing card, there are 4 suits, and each suit have 13 playing card.
Since, we know that

Therefore,
Probability of any random card being a spade is


So the expected number of spades we draw are


Hence, the expected value of the number of spades are = 4.25
Answer:
Thank you So much. What grade did you get on this project?
Step-by-step explanation:
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as:
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

Multiply both sides by 80

Calculate sin(46) using a calculator (make sure it's in degree mode)

Simplify

Round this to the nearest foot

For number one I would recommend using an app called math papa it works really well with algebra and etc