This is binomial probability with n=50 and p=0.62.
We want binom(50,0.62,35).
One way to calculate this is to use a calculator with statistical functions.
My TI-83 Plus turned out the result 0.061.
Let number of books by astrid's = x
Out of x , 84% are fiction.
So, Number of non fictional books = x - 
= 
→Ratio of number of books to fictional books
⇒[Dividing numerator and denominator by 4.]
→Out of 25 books by astrid 21 are fictional.
→ Number of fictional books by astrid = 
Answer:
It would take 5.9 years to the nearest tenth of a year
Step-by-step explanation:
The formula of the compound continuously interest is A = P
, where
- A is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ Serenity invested $2,400 in an account
∴ P = 2400
∵ The account paying an interest rate of 3.4%, compounded continuously
∴ r = 3.4% ⇒ divide it by 100 to change it to decimal
∴ r = 3.4 ÷ 100 = 0.034
∵ The value of the account reached to $2,930
∴ A = 2930
→ Substitute these values in the formula above to find t
∵ 2930 = 2400
→ Divide both sides by 2400
∴
= 
→ Insert ㏑ in both sides
∴ ㏑(
) = ㏑(
)
→ Remember ㏑(
) = n
∴ ㏑(
) = 0.034t
→ Divide both sides by 0.034 to find t
∴ 5.868637814 = t
→ Round it to the nearest tenth of a year
∴ t = 5.9 years
∴ It would take 5.9 years to the nearest tenth of a year
Answer:
4 to the power of three
Step-by-step explanation: