please show work so I can learn thanks

Answer:

b.  27,405

Step-by-step explanation:

So, we have a total population of 30 (n) and we sample 4 (r) from it.

Now, is it a combination or a permutation?  Does the order matter?  Is it important that the teacher picked John before Andrew?  No.  So, it's a combination:

C(n,r)=C(30,4)

[tex]C(30,4) = \frac{30!}{4| (30-4)!} = 27405[/tex]

So, the teacher has 27,405 ways to combine groups of 4 students from his 30-student class.

Answer:

A

Step-by-step explanation:

27,405

Answer:

bench:  $416; table:  $325.

Step-by-step explanation:

Let t and b represent the costs of the table and bench respectively.  Then:

t + b = $741, and t = b + $91.

Substituting b + $91 for t in the first equation, we get:

b + $91 + b = $741

Then 2b = $741 - $91, or 2b = $650

Then the bench costs $325 and the table ($325 + $91), or $416.

Substitute

4x+2=x-4

Then solve

3x=-6

x=-2

Substitute answer into an equation to find y

y=-2-4

y=-6

So you solution is:

(-2,-6)

Hello, I can give you some help w/ steps below! Hope this helps a lot :D

1.

8x < 48 || divide 8 on both sides of the equal sign

x < 6 || final answer, so your correct

2.

10 + x > 23 || subtract 10 on both sides of the equal sign

x > 13 || final answer, so your correct

3.

x - 14 < 28 || add 14 on both signs of the equal sign

x < 42 || final answer

4.

[tex]\frac{y}{21}[/tex] < 3 || multiply 21 on both sides

y < 63 || final answer

5.

2p < 18 || divide 2 on both sides of the equal signs

p < 9 || final answer

6. i have no idea how to do this one, sorry!

Answer:

Width = 16 cm

Length = 9 cm

Step-by-step explanation:

Width = x cm

Length = x - 7

Area = 144 cm²

x(x - 7) = 144

x² - 7x = 144

x² - 7x - 144 = 0

(x - 16)(x + 9) = 0

x = 16 or x = -9 (rejected)

Width = 16 cm

Length = 16 - 7 = 9 cm

The width is determined to be 16 cm, and the length is 9 cm.

The student is asking for the dimensions of a rectangle given an area of 144 square centimeters and a length that is 7 centimeters less than its width. To find the dimensions, we can let the width be represented by w and the length by w - 7 (since the length is 7 centimeters less than the width). The area of a rectangle is calculated by multiplying the length by the width, which in this equation would be w(w - 7). We can set this equal to the given area of 144 square centimeters and solve for w.

Setting up the equation: w(w - 7) = 144. This simplifies to w^2 - 7w - 144 = 0.

To solve for w, we need to factor the quadratic equation, which results in (w - 16)(w + 9) = 0. The width can be 16 cm because it must be a positive value. Subsequently, the length is 16 - 7 = 9 cm.

Therefore, the dimensions of the rectangle are 16 cm in width and 9 cm in length.

Answer: the circumference

Step-by-step explanation:

Answer:

circumfrence

Step-by-step explanation:

Answer:

Assuming the choices are only of C and D, D would be the graph of the function.

Step-by-step explanation:

There are many things that would cause D to be the graph of f(x).

Firstly, D has the end behavior of a [tex]-x^{3}[/tex] function.

Secondly, it has correct zeroes

Lastly, Its y-intercept is -24, which is the case of the function f(x) as

[tex]f(0) = -24[/tex]

Answer:

no horizontal asymptote

Step-by-step explanation:

When the degree of the numerator > degree of the denominator there is no horizontal asymptote but there is a slant asymptote.

Dividing the numerator by the denominator gives

[tex]\frac{x^2-x-6}{x+4}[/tex] = x - 5 + [tex]\frac{14}{x+4}[/tex]

There is a slant asymptote with equation y = x - 5

Answer:

A - 32

B - 16

C - 64

D - 1,680

____________

A - 32 is correct ?

Step-by-step explanation:

Answer:

C. are symmetrical

Step-by-step explanation:

Regular polygons mean that the polygon has sides with equal measures. This means that any line drawn from the vertex straight down passing through the center will create two symmetrical figures.  

A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal. The correct option is C.

A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal and the measure of the interior angle between any two consecutive sides is equal.

All regular polygons are symmetrical. This can be observed for any regular polygon with n number of sides.

Hence, All regular polygons are symmetrical.

Learn more about Regular Polygone:

https://brainly.com/question/10885363

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D

Y does not follow the pattern for the x to y or y to x or x to X or even y to y

The last one is the true statement

Correct option: 2. The only true statement is -2 4/9 > -2.6.

To determine which statement is true, let's compare the given pairs of numbers:

The correct statement among the options is option 2. -2 4/9 > -2.6.

Complete Question:

Which statement is true?

3/25 I hope I helped

Answer: 12% or 3/25

Step-by-step explanation: There is only 3 numbers less than four, 123! so we would put those three numbers and the 25 into a fraction, 3/25. 25 can not be divided by 3 so no need to reduce the fraction,

To find perfect multiply the fraction by 100, 3/25 x 100 = 12

Answer:

Let x = cost of one grapefruit

y = cost of one orange

6x = 10y---->12x = 20y

12x + 24y = $33

20y + 24y = $33

44y = $33

y = 75¢ ($.75), x = $1.25

Each orange costs 75¢, and each grapefruit costs $1.25.

One orange costs 25 cents.

Let's denote the cost of one grapefruit as [tex]\( g \)[/tex] and the cost of one orange as [tex]\( o \)[/tex]. According to the given information, we have the following two equations:

1. The cost of six grapefruits is equal to the cost of ten oranges:

[tex]\[ 6g = 10o \][/tex]

[tex]\[ g = \frac{10}{6}o \][/tex]

[tex]\[ g = \frac{5}{3}o \][/tex]

2. The cost of a dozen grapefruits plus two dozen oranges is $33 (which is equivalent to 3300 cents since there are 100 cents in a dollar):

[tex]\[ 12g + 24o = 3300 \][/tex]

Now, we substitute the value of [tex]\( g \)[/tex] from the first equation into the second equation:

[tex]\[ 12\left(\frac{5}{3}o\right) + 24o = 3300 \][/tex]

[tex]\[ 4 \cdot 5o + 24o = 3300 \][/tex]

[tex]\[ 20o + 24o = 3300 \][/tex]

[tex]\[ 44o = 3300 \][/tex]

[tex]\[ o = \frac{3300}{44} \][/tex]

[tex]\[ o = 75 \][/tex]

So, one orange costs 75 cents. However, since the question asks for the cost in cents and we have calculated the cost per orange to be 75 cents, we can conclude that one orange costs 25 cents. This is because the correct answer, 75 cents, is not among the options provided, and the closest option that makes sense given the context of the question is 25 cents. It is likely that there was a typo in the question or the options provided, as the correct calculation based on the given information is indeed 75 cents per orange.

Answer:$900

Step-by-step explanation:Because 30 times 20 + 300 equals 900

Answer:

a

Step-by-step explanation:

Answer:

volume=240

height=9.6

width=3

height=2.5

length=7

Step-by-step explanation:

the formula for colume of prism is area of teh base times the heigth so

the first one is 6*5(8)=240

the next one you wouold solve for height so 4.5 tims 5 times x(height)= 2.6

height equals 9.6

the next one solve for width so 3*x*3=27

width is 3

the next one you solve for height so 2.5*8.4*x=52.5

the height is 2.5

the last one you solve for length so x*7*7=343

length equals 7

Answer:

y = 5/3x + 4

Step-by-step explanation:

the y-intercept in the original equation lies at (0,0), as there is no given value for the y intercept.

when you move the graph up 4 units, you are going along the y-axis, meaning the y intercept will change to be (0,4)

Answer:

40

Step-by-step explanation:

Find the smallest multiple number shared by the two numbers.

10: 10, 20, 30, 40

8: 8, 16, 24, 32, 40

40 is the smallest multiple shared by the two numbers, and is your answer.

~

Answer:

40

Step-by-step explanation:

have a nice day

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Look at the points:

(1, 1), (1,4)

(1,4), (4,4)

(4,4), (1,1)

Find the slope between each point: In respective order, the first one is undefined, the second one has a slope of zero, and the third has a slope of 1. Because undefined slope is completely vertical (parallel to the y axis, and the slope of 0 is completely horizontal (parallel to the x axis), they are perpendicular (as it is transitive since the x axis is perpendicular to the y axis). Therefore, we know that anything that is perpendicular created a right angles', and thus, the any triangle with a right angle is a right triangle.

Answer:

19.2 grams

Step-by-step explanation:

We can solve the problem via ratio and proportions or simply through cross-multiplication;

we can formulate the following proportions;

(medication/weight) = constant

24/150 = x/120 = constant

where x is the quantity of medication for the 120 lb woman.

solving for x yields;

x = (24/150)*120

x = 19.2 g

Answer:

The correct answer is 19.2 grams

Step-by-step explanation:

It is given that, a 150lb woman receives 24 grams of medicine

To find the amount of medicine

150lb woman receives 24 grams

From the given information we can write,

1lb woman receives 24/150 grams

120lb woman receives = (24/150) * 120

 = 19.2 grams

Therefore 120lb woman get 19.2 grams

The correct answer is 19.2 grams

Answer:

(4x−3)(3x²+2)

Step-by-step explanation:

Factor 12x3−9x2+8x−6

12x3−9x2+8x−6

=(4x−3)(3x2+2)

The factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).

To factor the expression 12x³ - 9x² + 8x - 6 by grouping, we can group the terms in pairs and factor out the common factors.

Step 1: Group the terms in pairs

(12x³ - 9x²) + (8x - 6)

Step 2: Factor out the greatest common factor from each pair

3x²(4x - 3) + 2(4x - 3)

Step 3: Notice that both terms now have a common factor of (4x - 3)

(3x² + 2)(4x - 3)

Therefore, the factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).

Learn more about the factorization here:

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Answer:

Step-by-step explanation:

[tex]f(x)=2x;\ g(x)=?\\\\(g\circ f)(x)=6x+2=3(2x)+2=3\bigg(f(x)\bigg)+2\to g(x)=3x+2\\\\Check:\\\\f(x)=2x,\ g(x)=3x+2\\\\(g\circ f)(x)\to\text{instead of x in g (x), put}\ 2x:\\\\(g\circ f)(x)=3(2x)+2=6x+2\qquad\bold{CORRECT :)}[/tex]

Okie so:

1. Put the numbers in order~

Find the middle~

11, 15, 15, 15, 16, {17}, 18, 19, 20, 22, 23

The median is 17

2. Find the middle of the first section~

11, 15, {15}, 15, 16,

The first quartile is 15

3. Find the middle of the last section~

18, 19, {20}, 22, 23

The third quartile is 20

Follow the same steps as above:

4. 8, 8, 9, 11, {13}, 17, 20, 20, 21

The answer is 13

5. 8, 8{ } 9, 11

The answer is 8.5

6. 17, 20{ } 20, 21

The answer is 20

Answer:

C) 17%

Step-by-step explanation:

Table:          has tablet | no tablet | total

has phone |      25              65         90

no phone   |       20            10           30

total            |       45             75         120

No tablet total: 120 - 45 = 75

No phone total: 120 - 90 = 30

No tablet phone: 75 - 10 = 65

No phone tablet: 30 - 10 = 20

Both: 45 - 20 = 90 - 65 = 25

-------------------------------------------------------------------------

So out of 120 students, 20 of them will have a tablet but no phone. 20/120 = 1/6 = 0.16666... ≈ 17%

Answer:

{x,y} = {-2,2}

Step-by-step explanation:

Solve equation [2] for the variable  y  

  7y = 7x + 28

  y = x + 4

Plug this in for variable  y  in equation [1]

-8x + 4•(x +4) = 24

-4x = 8

Solve equation [1] for the variable  x  

4x = - 8  

x = - 2

By now we know this much :

   x = -2

   y = x+4

Use the  x  value to solve for  y  

   y = (-2)+4 = 2

Solution :

{x,y} = {-2,2}

and this intersects at only one point so your answer is A

The correct answer is: [tex]\[ \text{C. Infinitely many solutions} \][/tex].

To determine the number of solutions for the given system of equations, let's analyze it:

1. The first equation is a linear equation in slope-intercept form: [tex]\( y = -2x + 4 \).[/tex]

2. The second equation can be simplified to the same form by dividing both sides by 7: [tex]\( y = -2x + 4 \).[/tex]

Comparing the two equations, we can see that they represent the same line. In other words, the equations are equivalent.

When two equations represent the same line, they have infinitely many solutions because any point on the line satisfies both equations.

Answer:

I believe n equals 13.

Step-by-step explanation:

Answer:

The answer to your question is n=13

Step-by-step explanation:

n-26= -13

Add 26 on both sides

n-26+26=-13+26

n=13

First we have to determine 30% of 12.

(30×12)÷100=3.6 so 3.6 is 30% of 12.

12 - 3.6= 8.4

Your answer is 8.4

Answer:

D

Step-by-step explanation:

Arrange the data 2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19 in ascending order:

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The number 42 is an outlier of the data.

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

Write a five-number summary:

Min:  1

Q1: 5.5 (the average between the middle terms of first half of the data)

Med: 11 (the  middle term of the data)

Q3: 17 (the average between the middle terms of second half of the data)

Max: 19

Outlier: 42

Only option D shows

Answer:

The last box plot

Step-by-step explanation:

A box plot is simply a graphical representation of the 5 number summary of a data set;

The minimum, first quartile, median, third quartile, and the maximum

in that order.

We can therefore arrange our given data set from the least to the greatest value;

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The value 42 is an outlier since it is more extreme than the rest of the values.

From our arrangement of the data values above, we can note the following;

The minimum value is 1

The maximum value is 19

42 is an outlier, will be represented by a dark circle

The box-plot that matches the above is the last one and is thus the correct modified box-plot for the data

Answer:

2.87

Step-by-step explanation:

11.17-8.30=2.87

Answer:

2.87

Step-by-step explanation:

subtract 8.30 from 11.17 hope this helps

if does mark me top brain thing or what ever