We need to identify the equation of the graph given.
This graph corresponds to a translation of the graph described as:
Comparing the graph given with the one above, we can see it was shifted 4 units to the left.
When we translate the graph of a function f(x) d units to the left, it is transformed as:
You need to figure out how many ways you can roll a sum of 9.
3 and 6, 4 and 5, 5 and 4, and 6 and 3. That's 4/36, or a 1/9 chance.
Alex has a 1/6 chance. Therefore, Alex is more likely to win.
Answer:
5/8
Step-by-step explanation:
The probability of not getting blue can be found by dividing the number of sections that are not blue by the total number of sections.
P(not blue)= not blue / total
There are a total of 8 sections. 3 are blue, which leaves 5 that are not blue (1 yellow, 2 red and 2 green).
not blue= 5
total= 8
P ( not blue)= 5/8
This fraction cannot be reduced, therefore our answer is 5/8
Answer:
$7153.03
Step-by-step explanation:
To find the total amount after 3 years, we can use the formula for compound tax:
P = Po * (1+r/n)^(t*n)
where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)
For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:
P = 5000 * (1 + 0.123/2)^(3*2)
P = 5000 * (1 + 0.0615)^6
P = $7153.029
Rounding to the nearest cent, we have P = $7153.03
Answer:
2/5
Step-by-step explanation:
