Answer:
A
Step-by-step explanation:
a door is a rectangle so is can't be any of the other shapes
Answer:
< 1 = 125 degrees
< 2 = 55 degrees
< 3 = 125 degrees
< 4 = 55 degrees
< 5 = 125 degrees
< 6 = 55 degrees
< 7 = 125 degrees (given)
< 8 = 55 degrees
Step-by-step explanation:
1 and 3 are equal because they are vertical angles, therefore proving their congruence.
7 and 1 are equal because they're alternate exterior angles, which are congruent.
2 and 4 are vertical, which is congruent.
5 and 7 are vertical.
6 and 8 are vertical.
Answer: 35.5
Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.
So to find the mean of the data set shown here, let's begin by adding the numbers.
31 + 29 + 33 + 37 + 33 + 38 + 43 + 40 = 284
284 will be divided by how many numbers are in the data set which is 8 so we have to divide 284 by 8.
248 ÷ 8 = 35.5
Therefore, the mean of the data set shown here is 35.5.
The expectation of this game is that the house (casino) takes in roughly $3.83 every time someone plays, and after enough plays, they will typically always win.
We can determine this case by looking at all of the possibilities and how much you can win or lose off of each. There are 36 total cases for what can happen when we roll the dice. Of those 36 cases, 9 of them produce positive winnings and 27 of them produce losses.
To calculate the winnings, we need to look at what type they are. 6 of them will be 7's which earn the gambler $20. 3 of them would be 4's, which earns the gambler $40.
6($20) + 3($40)
$120 + $120
$240
Then we look at the losses. This is easier to calculate since every time the gambler loses, he losses exactly $14. There are 27 of these instances.
27($14)
$378
Now we can look at the average loss per game by subtracting the losses from the gains and finding the average.
(Winnings - losses)/options
($240 - 378)/36
$3.83
51= 3k
divide both sides by 3
to get k by itself
51/3= 3k/3
cross out 3 and 3, divide by 3 and becomes k
k= 17
Answer: k= 17
