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liraira [26]
3 years ago
7

The librarian continues to record the type of item that the next 20 patrons check out from the library. patron item type 11 fict

ion book 12 non-fiction book 13 fiction book 14 fiction book 15 fiction book 16 non-fiction book 17 fiction book 18 non-fiction book 19 fiction book 20 DVD 21 fiction book 22 non-fiction book 23 fiction book 24 fiction book 25 audiobook 26 fiction book 27 DVD 28 non-fiction book 29 fiction book 30 DVD Based on the information from these patrons, estimate the probability that the next patron will check out a fiction book.
Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

Answer:

Pr = 0.55

Step-by-step explanation:

Given

Represent the dataset with the following frequency table

\begin{array}{cc}{Item} & {Frequency} & {Fiction\ Book} &{11} & {Non\ Fiction\ Book} & {5}  & {DVD} & {3} & {Audiobook} & {1}  \ \end{array}

Required

Probability that the next checkout will be fiction

From the above frequency table, we have:

Fiction\ Book = 11

n =20 --- total

So, the probability that the next checkout item is a fiction book is:

Pr = \frac{Fiction\ Book}{n}

Pr = \frac{11}{20}

Pr = 0.55

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3 years ago
The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon
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Answer and explanation:

Given : The position of an object moving along an x axis is given by x=3.24t-4.20t^2+1.07t^3 where x is in meters and t in seconds.

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x(t)=3.24t-4.20t^2+1.07t^3

x(1)=3.24(1)-4.20(1)^2+1.07(1)^3

x(1)=3.24-4.20+1.07

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b) At t= 2 s

x(t)=3.24t-4.20t^2+1.07t^3

x(2)=3.24(2)-4.20(2)^2+1.07(2)^3

x(2)=6.48-16.8+8.56

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c) At t= 3 s

x(t)=3.24t-4.20t^2+1.07t^3

x(3)=3.24(3)-4.20(3)^2+1.07(3)^3

x(3)=9.72-37.8+28.89

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d) At t= 4 s

x(t)=3.24t-4.20t^2+1.07t^3

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\triangle x=x(4)-x(0)

\triangle x=14.24-0

\triangle x=14.24

(f) What is its average velocity from t = 2 s to t = 4 s?

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At t=4, x(4)=14.24

The average velocity  is given by,

\triangle x=x(4)-x(2)

\triangle x=14.24-(-1.76)

\triangle x=14.24+1.76

\triangle x=16

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Answer:

Step-by-step explanation:

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2 years ago
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