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3 years ago

14

marcus has 731 books. He puts about the same number of books on each 9 shelves in his bookcase. About how many books are in each

shelf?

2 answers:

DIA [1.3K]3 years ago

6 0

Marcus has about 81 book on all 9 of the book shelf

4vir4ik [10]3 years ago

5 0

The answer is around 81.

Happy studying ^-^

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Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all

Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that $p = 0.95$

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135$

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0

2 years ago

The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of

sweet [91]

The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
We need to find the value of x

∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

quadrilateral is 360°

- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = $\frac{40}{100}$ × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = $\frac{12.5}{100}$ × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = $\frac{25}{100}$ × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0

3 years ago

Giving away 33 please help i suck at math

Harman [31]

D. (I used 3.14 as pi so my answer was a little off so I just went with the one closest to my answer)

8 0

2 years ago

Read 2 more answers

A 7-mile bike race is divided into 4 equal sections. Which equation shows how to find the number of miles in each section?

guapka [62]

You would divide 7 by 4. (7/4) each section would be 1.75 miles :)

4 0

3 years ago

Read 2 more answers

Bubbles bakery has 24 oatmeal cookies, 36 vanilla bean cookies, 42 chocolate chip cookies. What is the greatest common factor bu

STatiana [176]

Answer:6

Step-by-step explanation:

We have three groups of cookies as follows:

24 oatmeal

36 vanilla bean

42 chocolate chip

If we breack down into factors we get

24 2 24 = 2³ * 3 36 2 36 = 2²*3³ 42 2 42 = 2*3*7

12 2 18 2 21 3

6 2 9 3 7 7

3 3 3 3 1

1 1

Fom where we can get that biggest common factor is 6

24 ÷ 6 = 4

36 ÷ 6 = 6

42 ÷ 6 = 7

Then Bakery will have 4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip

7 0

3 years ago