Answer:
slope equals the change in x over the change in y. So slope equal negative 1.
376.64-109.38=267.26
The tenth place is the first number after the decimal. 5 and up make the number in front go up. Since we have a 6 here, the 2 goes to 3.
267.26 rounded to the nearest tenth is 267.3
-Steel jelly
<h3>
Answer: 4</h3>
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Explanation:
Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.
Example: for the first entry of this row, have 2*0.45 = 0.9
Once that third row is filled out, you add up everything in that row. That will lead to the expected value.
The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4
Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.
Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).
C should be -10
Hope this helps
Step-by-step explanation:
Easiest way is to use synthetic division, but I am going to use comparing coefficients because I have my phone:
x³ + 6x² - 5x
= (x - 2)(Ax² + Bx + C) + D
= Ax³ + (B - 2A)x² + (C - 2B)x + (D - 2C)
By Comparing Coefficients, we have
A = 1
B - 2A = 6
C - 2B = -5
D - 2C = 0
Solving, we have A = 1, B = 8, C = 11, D = 22.
Hence x³ + 6x² - 5x
= (x - 2)(x² + 8x + 11) + 22.