Ask question

Ask question

All categories

3 years ago

5

Find the number of possible outcomes Five books need to be placed on a shelf. You randomly arrange the books on the shelf from l

eft to right.

1 answer:

iren [92.7K]3 years ago

7 0

Answer:

120

Step-by-step explanation:

Let's say you put them on the shelf one by one, from left to right.

You can pick 1 of the 5 for the first position.

5

Now you have 4 books left. You pick one out of those 4 for the second position.

5 * 4

There are 3 choices left for the 3rd position.

5 * 4 * 3

2 left for the 4th position.

5 * 4 * 3 * 2

Finally, there is one book left for the 5th position.

5 * 4 * 3 * 2 * 1

Now we multiply:

5 * 4 * 3 * 2 * 1 = 120

You might be interested in

Find the value of "x" in x² -2 = 47<br><br>Thanks :)

Dennis_Churaev [7]

$~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7$

7 0

1 year ago

The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

What is the coefficient in the expression 23y+5

pentagon [3]

The coefficient is 23

8 0

3 years ago

Read 2 more answers

Choose the correct equation to represent the problem and solve. apollo purchased a four pack of 50-watt light bulbs. he then bou

Step2247 [10]

66 = 4 + 8v - 2 <== ur equation
66 = 2 + 8v
66 - 2 = 8v
64 = 8v
64/8 = v
8 = v <=== there are 8 bulbs in each value pack

5 0

2 years ago

PLEEAASE HEELP!!!!!!!!!

Vlad1618 [11]

Hello :
<span> x+2/3=9
x =9-2/3
(answer : </span><span>C)x=9 - 2/3</span>

4 0

3 years ago

Read 2 more answers