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4 years ago

Small library contains 700 novels. how many ways can You check out three novels

Mathematics

1 answer:

schepotkina [342]4 years ago

8 0

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

The third book can be any one of the remining 698.

The total number of ways to gather three books from the shelves into your hands is (700 · 699 · 698) = 341,531,400 ways .

BUT ...

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves. You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

So, even though there are 341,531,400 ways to gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.

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Approximate the interest rate for a lease that comes with a money factor of 0. 27. A. 0. 65% b. 1. 13% c. 6. 5% d. 11. 25%.

avanturin [10]

Money factor is the method for determining the financing charges. The interest rate for a money factor of 0.00027 is 0.65%.

<h3>What is the money factor?</h3>

The money factor is the method for determining the financing charges on a lease with monthly payments. It is given by the formula,

$\rm Money\ Factor = \dfrac{Interest\ Rate}{2400}$

As it is given that the money factor is 0.00027, therefore, substituting the value we will get,

$\rm Money\ Factor = \dfrac{Interest\ Rate}{2400}\\\\0.00027 = \dfrac{Interest\ Rate}{2400}\\\\Interest\ Rate = 0.648\% \approx 0.65\%$

Hence, the interest rate for a money factor of 0.00027 is 0.65%.

Learn more about Money Factor:

brainly.com/question/1437962

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3 years ago

Graph the following linear equation. y=-5/2x+10

stellarik [79]

Google is always your friend when it comes to graphs

7 0

4 years ago

Can someone help me with this please....ill give points and brainless

den301095 [7]

Answer:

The total surface area of the given cone is

$S = 4( \sqrt{3}+1)\pi cm^2$

Step-by-step explanation:

Step 1:-

Formula:-

The total surface area of cone is

$S.A = \pi r l +B$

$S.A = \pi r l +area of base$

$S.A = \pi r l+ \pi r^2$ ........(1)

Step 2:-

Given slant height $l = 2\sqrt{3} cm$

and radius of the circle (base) = 2

substituting these values in equation (1)

$S.A = \pi (2)(2\sqrt{3} ) + \pi (4)$

on simplification, we get

$S.A = \pi (4\sqrt{3}+4)$

Final answer :-

$S.A = 4 (\sqrt{3}+1)\pi cm^2$

8 0

3 years ago

Answer the following:

jonny [76]

Answer:

As the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

Step-by-step explanation:

Given the equations

$-3x+y=-4$

$x+3y=6$

The slope-intercept form of the equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Writing both equations in the slope-intercept form

$-3x+y=-4$

$y=3x-4$

So by comparing with the slope-intercept form we can observe that

slope of equation = 3

i.e.

$m_1=3$

also

$x + 3y = 6$

$3y\:=\:6-x$

$y=-\frac{1}{3}x+2$

So by comparing with the slope-intercept form we can observe that

the slope of equation = -1/3

i.e.

$m_2=-\frac{1}{3}$

The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

The slope $m_2$ is the negative reciprocal of the slope $\:m_1$

Also, the product of two perpendicular lines is -1.

i.e.

$m_1\times m_2=-1$

VERIFICATION:

It is clear that the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

6 0

3 years ago

Find AC if AB = 17 and BC = 9

Montano1993 [528]

Answer:

ANSWER:-

Step-by-step explanation:

AB+BC=AC

17+9

=26 is the answer.

7 0

4 years ago

Small library contains 700 novels. how many ways can You check out three novels￼

Small library contains 700 novels. how many ways can You check out three novels