Jack can give three apples to 18 friends and have 2 left over
Answer:
13.4%
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 16, r = 2, p = 0.25, and q = 0.75.
P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²
P = 120 (0.25)² (0.75)¹⁴
P = 0.134
There is a 13.4% probability that exactly 2 students will withdraw.
Answer:
Slope=3 Y-int=4
Step-by-step explanation:
y=mx+b where m is slope and b is y-intercept
Answer:
x=2
y=3
Step-by-step explanation:
Answer: 5 terms.
Step-by-step explanation:
We know that the n-th term of a sequence is:
Aₙ = n² + 20
Where n can be any natural number, then n ∈ {1, 2, 3, ...}
We want to find how many terms are smaller than 50.
Then we could find the first value of n such that Aₙ is equal or larger than 50.
Then we can solve:
Aₙ = n² + 20 = 50
then:
n² = 50 - 20 = 30
n = √30 = 5.48
This is not a natural number, so we need to round to the next one that is n = 6
This means that the first natural number n such that Aₙ is equal or larger than 50 is n = 6, then for the values:
n = 1, 2, 3, 4, 5
Aₙ is smaller than 50
This means that there are 5 terms of the sequence that are smaller than 50.