Gabriella is organizing textbooks on her bookshelf. She has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can she line the textbooks up on her bookshelf?

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. So, there are 24 different ways they can stand in line.

Factorial of a positive integer is the result of the repeated multiplication of all the integers from 1 till that considered integer.

Thus, if we want to take the factorial of 'n',(n being a positive integer), then:

[tex]n! = 1 \times 2 \times \cdots \times (n-1) \times n[/tex]

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other.

The different ways they can stand in line = 4!

[tex]= 4 \times 3 \times 2 \times 1\\\\= 12 \times 2\\\\24[/tex]

So, there are 24 different ways they can stand in line.

Learn more about factorials here:

https://brainly.com/question/16036678

#SPJ2

Answer: 86%discount approx

Step-by-step explanation:

You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:

578:100=78:x

X=(78*100)/578

X=14 %

Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%

Answer:

1.75 liters

Step-by-step explanation:

Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)

Answer:

tiresome

Step-by-step explanation:

Common sense, if people are constantly complaining about an issue and then start to take a more aggressive approach towards things they would seem to be tiresome from all of the stress.

Answer:

The cost of concrete for the pillar would be $ 15,260.40.

Step-by-step explanation:

Given that a concrete pillar has the shape of a cylinder and it has a diameter of 6 meters and a height of 5 meters, if concrete costs $ 108 per cubic meter, to determine how much did the concrete cost for the pillar the following calculation must be done, knowing that the volume of a cylinder is calculated with the following formula = πxr²xh:

3.14 x (6/2) ² x 5 = X

3.14 x 3² x 5 = X

3.14 x 9 x 5 = X

3.14 x 45 = X

141.3 = X

141.3 x 108 = X

15,260.4 = X

Therefore, the cost of concrete for the pillar would be $ 15,260.40.

Answer:

A) 40

B) 20

Step-by-step explanation:

By Length · Width · Height

A)  (5) · (4) · (2) = 40

For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.

B) (5) · (4) · (1) = 20

Answer:

322. So this is correct or wrong

Answer:

34178

Step-by-step explanation:

deltamath

10+6+9+13+7= 45

and divide it by 5

the answer is 9

the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it

Answer: Krista can fill 3 1/3 bowls of gelatin.

Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches

Step-by-step explanation:

Answer:

6.11 or 6.12

Step-by-step explanation:

You will have to divide 116.25 by 19

to find the length Mr.Rice will need to purchase

which is 6.11842105

Answer:

Reflected OVER Y makes A

A (-7,3) -> (7,3)

Translated makes

A (7,3) -> (7-5, 3-5) = (2,-2)

B)

Step-by-step explanation:

Answer: 40 PLEASE MARK BRAINLEST

Step-by-step explanation:

Step-by-step explanation:

[tex] - 5 = \frac{1}{3} ( - 1 - w) \\ \frac{1}{3} ( - 1 - w) = - 5 \\ - 1 - w = - 5 \div \frac{1}{3} \\ - 1 - w = - 5 \times 3 \\ - 1 - w = - 15 \\ - w = - 15 + 1 \\ - w = - 14 \\ w = 14[/tex]

Answer:

height = 5+2xbase

74 = 5+2xbase

subtract 5 from both sides

69 = 2xbase

divide both sides by 2

34.5mm = base length

Answer:

a. tanB= 3/2

Step-by-step explanation:

tanA= p/b =:2/3

For angle A,

p= 2

b=3

For angle B,

p = 3

b=2

So, TanB = 3/2

Answer: 72

Step-by-step explanation:

Set it up as a ratio

[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

[tex]H_a: \mu_1 - \mu_2 > 0[/tex]

In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

[tex]X = 35 - 30 = 5[/tex]

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{5 - 0}{2.4495}[/tex]

[tex]z = 2.04[/tex]

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Answer:

z = 166°

Step-by-step explanation:

Given:

x = 89

y = 12

An angle with its vertex in a circle = ½(intercepted arcs)

Thus:

x = ½(y + z)

Substitute

89 = ½(12 + z)

Multiply both sides by 2

2(89) = 12 + z

178 = 12 + z

178 - 12 = z

z = 166°

Answer:

( 4 x 10 y )

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A polyhedron is a 3d figure that has flat polygonal faces.

Since this 3d shape has octagons on its faces and rectangles on its sides, it is considered a polyhedron.

Counting everything adds up to 10 faces, 16 vertices, and 24 edges.

Hope this helps!

Answer:

distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.

Answer:

Look at attachment:

Step-by-step explanation:

Hope this helps! :)

Answer:

$460

Step-by-step explanation:

Let

x = original price of the television

Sale price = $322

Discount = 30%

x - 30% of x = 322

x - 0.3 * x = 322

x - 0.3x = 322

0.7x =322

x = 322/0.7

x = $460

x = original price of the television = $460

Answer: i think c

Step-by-step explanation:

Answer:

I believe the answer is B i am not 110% sure tho

Answer:

the point of living life if there's any also what's after death