Answer:
x=67.4
Step-by-step explanation:
well sin30:1/2
So y is not 30 since 5/13 doesn’t equal 1/2
So it’s either the the third or fourth option
And x>y
So option 4 is correct
If
is a random variable representing your winnings from playing the game, then it has support

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So
has PMF

You can expect to win
![E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}](https://tex.z-dn.net/?f=E%5BW%5D%3D%5Cdisplaystyle%5Csum_ww%5C%2CP%28W%3Dw%29%3D%5Cfrac%7B43%5Ccdot3%7D%7B13%7D-%5Cfrac%7B11%5Ccdot10%7D%7B13%7D%3D%5Cboxed%7B%5Cfrac%7B19%7D%7B13%7D%7D)
or about $1.46 per game.
Solution -
In order to convert a binary number to hexadecimal ,we need to chunk the binary number into groups of 4 digits, adding 0 if necessary.
As the given number number is a 16 digit binary number, so when chunk in 4 digit groups, it will form 4 groups. Each group will represent a single digit in hexadecimal code.
So, a 16-digit binary pattern converts to a 4 digit hexadecimal value.
Answer:
The diameter of the floor is 6 yards
Step-by-step explanation:
Here, we are to calculate the diameter of a circular floor that has a circumference of 18.84 yards
Mathematically,
C = π * D
where C is the circumference
Plugging the values of the circumference , we have ;
18.84 = 22/7 * D
7 * 18.84 = 22D
D = (7* 18.84)/22 = 5.99 which is approximately 6 yards