3x + 3 − x + (−7) > 6 what is x
1 answer:
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Answer:
The general formula that can be used to find the required combinations for n flavor ice-cream.
For 10 ice-cream flavors
Step-by-step explanation:
Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry
2 ice-cream flavor:
V, C
{V/V, V/C, C/C}
3 possible combinations
3 ice-cream flavor:
V, C, S
{V/V, V/C, V/S, C/S, C/C, S/S}
6 possible combinations
4 ice-cream flavor:
V, C, S, P
{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}
10 possible combinations
5 ice-cream flavor:
V, C, S, P, B
{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }
15 possible combinations
So we have a series of
3, 6, 10, 15...
This series is known as Triangular number series
1 + 2 = 3
1 + 2 + 3 = 6
1 + 2 + 3 + 4 = 10
1 + 2 + 3 + 4 + 5 = 15
The general formula for this series is
Using the above formula we can predict the number of 2-scoop combinations with 10 flavors.
Therefore, there are 55 different combinations of 2-scoop with 10 flavors.
Answer:
There is a 25.92% probability that exactly 4 of the selected adults believe in reincarnation.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe in reincarnation, or they do not believe. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem
There are 5 adults, so
60% believe in reincarnation, so
What is the probability that exactly 4 of the selected adults believe in reincarnation?
This is P(X = 4).
There is a 25.92% probability that exactly 4 of the selected adults believe in reincarnation.