Answer: Simple and best practice solution for 4y^2+8y+1=0 equation. ... Begin completing the square. ... Square it (1) and add it to both sides.
Step-by-step explanation: Complete the square for x2+2x x 2 + 2 x.
$9 is the average rate of change!
The answer is C BECAUSE for this question, you can think relatively. They give you the responses for 54 people surveyed, however they want the answer from 1,140 students. You can set up the proportion of 30/54 = x/1140 to find out the number of students agreeing to keep the mascot. You get 1900/3 or 633 1/3.
Answer:
The expected value of betting $500 on red is $463.7.
Step-by-step explanation:
There is not a fair game. This can be demostrated by the expected value of betting a sum of money on red, for example.
The expected value is calculated as:

being G the profit of each possible result.
If we bet $500, the possible outcomes are:
- <em>Winning</em>. We get G_w=$1,000. This happens when the roulette's ball falls in a red place. The probability of this can be calculated dividing the red slots (half of 36) by the total slots (38) of the roulette:
- <em>Losing</em>. We get G_l=$0. This happens when the ball does not fall in a red place. The probability of this is the complementary of winning, so we have:

Then, we can calculate the expected value as:

We expect to win $463.7 for every $500 we bet on red, so we are losing in average $36.3 per $500 bet.
10Step 1: Subtract x from both sides.<span><span><span>3x−4</span>−x</span>=x−x</span><span><span>2x−4</span>=0</span>Step 2: Add 4 to both sides.<span><span><span>2x−4</span>+4</span>=0+4</span><span>2x=4</span>Step 3: Divide both sides by 2.<span><span>2x2</span>=42</span><span>x=<span>2
2)</span></span>Step 1: Subtract x from both sides.<span><span><span><span>2x</span>−4</span>−x</span>=<span>x−x</span></span><span><span>x−4</span>=0</span>Step 2: Add 4 to both sides.<span><span><span>x−4</span>+4</span>=<span>0+4</span></span><span>x=<span>4</span></span>