Answer:
answer choice D
Step-by-step explanation:
x => 6 - 4x > 18
= 6-18 > 4x
= - 12 > 4x
= -3 > x
= x < -3
A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
Step-by-step explanation:
Alright so, we need need to lay down the clues we were given
●Ratio of the seats= 2:5
● No.of seats in the circle
●Fraction of seats occupied for the stalls
Now, let us take a closer look at the ratio;
<em>C</em><em>:</em><em> </em><em>S</em><em> </em><em> </em><em>Total</em>
2:5 7
As we can see, the number of parts for the circle is 2 parts.
So ,
2 parts = 528 seats
1 part= 528/2= 264 seats
5 parts= 1 320 seats
7 parts= 264 × 7 = 1 848
Finally,
We can now find the seats occupied by the stalls,
2/3 × 1 320
= 880 seats
Seats of circle + Seats of stall
= 528 + 880= 1408
Percentage Occupancy
=
1408/1 848 × 100
Note: The answer will come in decimal numbers.
It will be,
76.1904761905
or
76.19%
ANSWER
Out of the three options the first one is the right answer with the given numbers <span />
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.
