answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeTakaya
3 months ago
14

Of the books in a library, 1/3 came from Robbie's collection and 15 came from Marta's. Of the rest, 15 were Elena's 1/5 were Win

field's, and 5 were purchased from the bookstore. How many book are there in the library?
Mathematics
1 answer:
Inessa [12.5K]3 months ago
6 0
Library total: l
Robbie's share: r=(1/3)l
Martha's share: m=15
remaining books: l-r-m=e+w+b
Elena's share: e=15
Winfield's share: w=1/5(e+w+b)
bookstore purchases: b=5


w=(e+w+b)/5
w=(15+5+w)/5
w=4+w/5
(4/5)w=4
w=5

l-r-m=e+w+b
l-(1/3)l-15=15+5+5
(2/3)l=25+15
(2/3)l=40
l=60=total number of books
You might be interested in
What is the solution to –2|2.2x – 3.3| = –6.6? x = –3 x = 3 x = –3 or x = 0 x = 0 or x = 3
babunello [11817]

x = 3

-2 | 2.2(3) - 3.3 | = -6.6

-2 | 6.6 - 3.3 | = -6.6

-2 | 3.3 | = -6.6

-2 * 3.3 = -6.6

-6.6 = -6.6

6 0
2 months ago
Read 2 more answers
Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an avera
AnnZ [12381]

Response:

It is inferred that the authors of the sonnets belong to a certain poet from the Elizabethan era.

Step-by-step breakdown:

The details provided in the question are as follows:

Population mean, μ = 8.9

Sample mean, \bar{x} = 10.2

Sample size, n = 6

Alpha, α = 0.05

Population standard deviation, σ = 2.5

Initially, we formulate the null hypothesis and the alternative hypothesis

To conduct this test, we utilize the One-tailed z test.

a) Equation:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

By substituting in all relevant values, we determine:

z_{stat} = \displaystyle\frac{10.2 - 8.9}{\frac{2.5}{\sqrt{6}} } = 1.28

Next, z_{critical} \text{ at 0.05 level of significance } = 1.64

b) The p-value is computed using the z-table.

P-value = 0.1003

The p-value surpasses the alpha of 0.05

c) Because the p-value exceeds the alpha threshold, there is insufficient evidence to dismiss the null hypothesis, thereby supporting the null hypothesis.

Consequently, it is concluded that the authorship of the sonnets belongs to a particular Elizabethan poet.

6 0
2 months ago
Other questions:
  • An ant arrives at the snail’s starting position at time minutes and follows the snail’s path. During the interval minutes, the a
    9·1 answer
  • Statisticians for a roadside assistance company interviewed 50,000 randomly selected United States (US) households. Of those, 15
    12·1 answer
  • The function c(x) = 0.5x+70 represents the cost c (in dollars) of renting a truck from a moving company, where x is the number o
    8·2 answers
  • Alex believes the honor roll students at his school have an unfair advantage in being assigned to the science class they request
    8·2 answers
  • Which fraction lies between 0.70 and 0.75 on number line?
    14·1 answer
  • Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
    12·2 answers
  • a concrete company is pouring concrete into a triangular form as the center of a new playground. the foreman measures the triang
    9·1 answer
  • Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (◦F) at which a certain reaction
    9·1 answer
  • The range of the function given below is the set of all positive real numbers greater than 6. F(x)=6+2^x
    7·1 answer
  • This graph displays a linear function. Interpret the constant rate of change of the relationship.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!