Answer:
the value of the z is -3.5
Step-by-step explanation:
According to the question, the following information is given
-2z - 7
Based on the above information
We assume that we have to determine the z value
so
-2z - 7 = 0
-2z = 7
z = 7 ÷ -2
= -3.5
Hence, the value of the z is -3.5
The same is to be considered and relevant too
4 over 4 (4/4) is equal to 1.
The equation can be rewritten as X = 4/32
4/32 can be simplified to 1/8
So you have X = 1/8
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.
Hi there! The answer is C.
Explanation:
We have the following equation:

To solve this type of equation (with an x in the denominator of a fraction) we must cross-multiply the numerator and the denominator.

Multiply

Divide both sides by 15.

~ Hope this helps you!