Answer:
First
Step-by-step explanation:
Answer:
does not exist
Step-by-step explanation:
According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.
Applying the divergence test here:
lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4
This is not 0, so the series does not converge, meaning the sum does not exist.
Answer:
16820.16 dollar.
Step-by-step explanation:
future =present value *(1+i)^n
n=1 year.
Answer:
The probability that neither player gets on base is 0.4824
Step-by-step explanation:
1. Both players get to base. <em>Just multiply the two probabilities together</em>:
= (<em>probability first batter gets on base</em>) x (<em>probability second batter gets on base, if the first batter gets on base</em>)
= 0.23 x 0.38
= 0.0874
2. One player gets to base. The formula here is P(A+B) =P(A) + P(B) - P(A) x P(B)
= (<em>probability first batter gets on base</em>) + (<em>probability second batter gets on base, if the first batter does not</em>) - (0.23 x 0.26)
= 0.23 + 0.26 - (0.23 x 0.26)
= 0.49 - 0.0598
= 0.4302
3. Neither player gets to base =<em> 1 - addition of the previous two cases</em>.
= 1 - (0.0874 + 0.4302)
= 1 - 0.5176
= 0.4824
