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tiny-mole [99]
3 years ago
5

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer:

63 books per capita in the library

<em></em>

Step-by-step explanation:

Given

Books = 2.73 * 10^3

People = 43

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

Average = \frac{Books}{People}

Average = \frac{2.73 * 10^3}{43}

Average = \frac{2.73 * 1000}{43}

Average = \frac{2730}{43}

Average = 63.488372093

Average = 63 (Approximated)

Hence;

<em>There are 63 books per capita in the library</em>

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spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the x intercept meaning the value of the point onx-axis when y=0

So we will put the value of zero (0) instead of y in our given equation.

So here we have solved it algebraically.

y=\frac{3}{4}x-3

Putting y=0

0=\frac{3}{4}x-3

0=\frac{3x-12}{4}

Multiplying 4 both sides.

0=3x-12

Adding 12both sides.

12=3x

Dividing with 3 both sides.

x=\frac{12}{3}=4

So the x-intercept of the given equation is 4 which can be written as (4,0) in terms of coordinates.

Option B (4,0) is the correct choice.

8 0
3 years ago
How would you write this equation in terms of sin and cos as well as simplify it from there?
ziro4ka [17]
Try this option:
(1+ \frac{cosx}{sinx})(1- \frac{cosx}{sinx})- \frac{1}{sin^2x}= \frac{sin^2x-cos^2x}{sin^2x}- \frac{1}{sin^2x}=
= \frac{sin^2x-cos^2x-sin^2x-cos^2x}{sin^2x}=- \frac{2cos^2x}{sin^2x}.
or -2ctg²x
8 0
3 years ago
Use a common denominator to write an equivelent fractions for each fraction.
sergejj [24]
Sorry for not giving you the calculation here -

5/12 and 2/9 have denominators divisible by only 3 right? Well The common denominator that can then change is 3 because that's the only number they have in common (except 1) 
8 0
3 years ago
The parent cosine function is transformed to create the function . which graphed function has the same amplitude as function m?
Shkiper50 [21]

Based on the graph given, the option that will show the same amplitude as function m is graph D.

<h3>Which graphed function  is this about?</h3>

The cosine function is seen as:

f(x) = A*cos(kx) + M

And the functions are:

  • A stands for amplitude,
  • k is angular frequency,
  • M is the midline.

When the function is m(x) = -2*cos(x+π).

The absolute value of the amplitude will be 2*|-2| = 4

Therefore, the option that can have the requirement above is graph D.

Learn more about cosine from

brainly.com/question/23563998

#SPJ4

8 0
2 years ago
f a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the st
galina1969 [7]

This question is incomplete, the complete question is;

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.6 pounds and a standard deviation of 8.0 pounds.

Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

Answer:

the standard deviation of the sampling distribution of sample means is 1.12

Step-by-step explanation:

Given the data in the question,

population mean; μ = 24.6  pounds

Population standard deviation; σ = 8.0 pounds

sample size; n = 51

Now determine the standard deviation of the sampling distribution of sample means.

standard deviation of the sampling distribution of sample means is simply

⇒ population standard deviation / √sample size

= 8.0 / √51

= 8.0 / 7.141428

= 1.120224 ≈ 1.12

Therefore, the standard deviation of the sampling distribution of sample means is 1.12

5 0
3 years ago
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