In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether the proportions have changed, a random sample of 300 students from ABC University was selected. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. Refer to Exhibit 12-4. This problem is an example of a _____. a. multinomial population b. normally distributed variable c. uniformly distributed variable

Answer:

(6,2)

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

x=2

y=6

x-y<-3

2-6<-3

-4<-3

-3 is greater than -4

Hope it helps u

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Answer:

400000

Step-by-step explanation:

5^8 = 390625

390625 + 9375 = 400000

Answer:

400,000

Step-by-step explanation:

We solve for 5^8 first,

this means that 5 is being multiplied by itself 8 times.

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625

Now we add this to 9,375:

390,625 + 9,375 = 400,000

Answer:

[tex](4, -1, 3)[/tex]

Step-by-step explanation:

We have the system of equations:

[tex]\left\{ \begin{array}{ll} x+2y+z =5 \\ 2x-y+2z=15\\3x+y-z=8 \end{array} \right.[/tex]

We can convert this to a matrix. In order to convert a triple system of equations to matrix, we can use the following format:

[tex]\begin{bmatrix}x_1& y_1& z_1&c_1\\x_2 & y_2 & z_2&c_2\\x_3&y_2&z_3&c_3 \end{bmatrix}[/tex]

Importantly, make sure the coefficients of each variable align vertically, and that each equation aligns horizontally.

In order to solve this matrix and the system, we will have to convert this to the reduced row-echelon form, namely:

[tex]\begin{bmatrix}1 & 0& 0&x\\0 & 1 & 0&y\\0&0&1&z \end{bmatrix}[/tex]

Where the (x, y, z) is our solution set.

Reducing:

With our system, we will have the following matrix:

[tex]\begin{bmatrix}1 & 2& 1&5\\2 & -1 & 2&15\\3&1&-1&8 \end{bmatrix}[/tex]

What we should begin by doing is too see how we can change each row to the reduced-form.

Notice that R₁ and R₂ are rather similar. In fact, we can cancel out the 1s in R₂. To do so, we can add R₂ to -2(R₁). This gives us:

[tex]\begin{bmatrix}1 & 2& 1&5\\2+(-2) & -1+(-4) & 2+(-2)&15+(-10) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\0 & -5 & 0&5 \\3&1&-1&8 \end{bmatrix}[/tex]

Now, we can multiply R₂ by -1/5. This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ -\frac{1}{5}(0) & -\frac{1}{5}(-5) & -\frac{1}{5}(0)& -\frac{1}{5}(5) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3&1&-1&8 \end{bmatrix}[/tex]

From here, we can eliminate the 3 in R₃ by adding it to -3(R₁). This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3+(-3)&1+(-6)&-1+(-3)&8+(-15) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&-5&-4&-7 \end{bmatrix}[/tex]

We can eliminate the -5 in R₃ by adding 5(R₂). This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0+(0)&-5+(5)&-4+(0)&-7+(-5) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&-4&-12 \end{bmatrix}[/tex]

We can now reduce R₃ by multiply it by -1/4:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\ -\frac{1}{4}(0)&-\frac{1}{4}(0)&-\frac{1}{4}(-4)&-\frac{1}{4}(-12) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

Finally, we just have to reduce R₁. Let's eliminate the 2 first. We can do that by adding -2(R₂). So:

[tex]\begin{bmatrix}1+(0) & 2+(-2)& 1+(0)&5+(-(-2))\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 1&7\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

And finally, we can eliminate the second 1 by adding -(R₃):

[tex]\begin{bmatrix}1 +(0)& 0+(0)& 1+(-1)&7+(-3)\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 0&4\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

Therefore, our solution set is [tex](4, -1, 3)[/tex]

And we're done!

Answer:

Brainly patrol stop deleting my answers

A. 2

B. 4

C. 3

D. 7

Step-by-step exp

Answer:

a. 2

b. 4

c. 3

d. 7

explanation:

a. fourths refers to 1/4 and one half refers to 1/2

b. sixths refers to 1/6 and two thirds to 2/3

c. fourths refer to 1/4 and six eighths refers to 6/8

d. halves refers to 1/2 and 3 5/10​

Answer:

1,300 feet

Step-by-step explanation:

600 - 50 = 550

550 + 550 + 100 + 100 = 1,300

The formula for slope is (y2 - y1)/ (x2 - x1)

Let's use (2,6) and (4,12)

12 - 6 = 6

4 - 2 = 2

6/2 = 3

The slope is 3.

Answer:

install socratic it will give you all answer no kiding

Hey there!

1) 0<2x−10<20

0+10<2x−10+10<20+10(Add 10 to all parts)

10<2x<30

10/2 <2x/2 < 30/2 (Divide all parts by 2)

5<x<15

Answer:

5<x<15

Graph in first image

2) x+7<7

Step 1: Subtract 7 from both sides.

x+7−7<7−7

x<0

OR

5+2x>8

Step 1: Simplify both sides of the inequality.

2x+5>8

Step 2: Subtract 5 from both sides.

2x+5−5>8−5

2x>3

Step 3: Divide both sides by 2.

2x/2 > 3/2

x > 3/2

Answer:

hi

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

P (4 or factor of 90) = 1

Step-by-step explanation:

Given :-

Three cards numbered 2, 3, 4

To Find :-

P (4 or factor of 90)

Solving :-

4 is required and we know that 2 and 3 are both factors of 90.

Therefore, P (4 or factor of 90) = 1

Solution :-

P (4 or factor of 90) = 1

Answer:

1

Step-by-step explanation:

P(2) = 1/3

P(3) = 1/3

P(4) = 1/3

2 and 3 are factors of 90

⇒ P(factor of 90) = P(2) or P(3) = 1/3 + 1/3 = 2/3

Therefore,

P(4 or factor of 90) = P(4) or P(factor of 90) = 1/3 + 2/3 = 1

Answer:

58

Step-by-step explanation:

add 4 eight more times

Answer: 48 degrees

Step-by-step explanation:

Alternate interior angles theorem

Answer:

m <1=

✔ 48°

Why?

✔ It corresponds to the 48-degree angle.

Step-by-step explanation:

9514 1404 393

Answer:

  d)  m∠a = m∠f

Step-by-step explanation:

Where a transversal crosses parallel lines, certain relationships between the angles are established. Effectively, the two same-side interior angles are supplementary, as they would be in a parallelogram. Here, those are angles B and F, or angles A and E.

The vertical- and linear-angle relationships give rise to all of the other ways this is expressed. For example, angles A and B are a linear pair, so supplementary. Since B and F are supplementary, and B and A are supplementary, F = A. Using more formal language, ...

  m∠a = m∠f

The value of the account after two years given the amount deposited and the rate of interest would be  $99.23.

Compound interest is when both the amount deposited and the interest already accrued increase in value when interest is paid.

The formula that can be used to determine value of the account is:

B=p(1+r)^t

where:

$90(1.05)^2 = $99.23

To learn more about compound interest, please check: https://brainly.com/question/26367706

Step-by-step explanation:

So leave (9x+4) and factor (2x2-17x-9) .

Factors into (2x+1)(x-9).

Now set (9x+4)=0 and find x. x= -4/9

set (2x+1)=0 x = -1/2

set x-9=0 so x=9. you have 3 solutions which are -4/9, -1/2, and 9.

Answer:

1020

Step-by-step explanation:

pls rate brainliest!

Answer:

1020

Step-by-step explanation:

First we need to find out what 15 is so we can divide 1200 by 100 to get 12 so 1% = 12 so 15 x 12 = 180

1200-180=1020

Answer: Y= 2/3x + 9

Explanation: The equation is in slope-intercept form, y=mx+b. Since it is parallel to the equation, it has the same slope (2/3x) and since b is the x intercept, b is 9.

The equation in slope-intercept form for the line that is parallel to y=(2/3)x-10 and x-intercept at 9 is y =

What is a Linear Equation of a line?

A linear equation is an algebraic equation of the form y=m x + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept

Parallel lines have the same slope.

Given data ,

The x-intercept is obtained when we set the value y = 0

As the x-intercept is 9 , therefore the point representing the x-intercept will be: ( 9 , 0 )

Now , the equation of line is given by y = m x + c

And , y = ( 2 / 3 ) x - 10

Since the lines are parallel , they will have same slope

So , the equation in slope intercept for the line will be

y = ( 2 / 3 ) x + 9

Hence the equation of line will be y = ( 2 / 3 ) x + 9

To learn more about linear equation of line click :

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Answer:

If you were to solve for, 7b+ 2b = 2 then;

7b+ 2b = 2

Combine like terms first:

(7b + 2b)

9b = 2

Then divide by 9 from both sides to solve for b:

/9    /9

b = 2/9 or 0.222..

If you were to solve for, 3(2c - 10) then;

3(2c - 10)

Use the distributive property, and multiply 3 to both 2c and 10:

3(2c) - 3(10)

6c - 30

If you were to solve for, 1 + 2.1y - 0.9y + 4 then;

1 + 2.1y - 0.9y + 4

Combine like terms:

(1 + 4) (2.1y - 0.9y)

5 + 1.2

Answer: 1 + 2 x 4x+1=10

Step-by-step explanation: 4x^2 + 5x+1 x x^2-4= also= 10

Answer:

C

Step-by-step explanation:

using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c

Answer:

20

Step-by-step explanation:

every three pop add 4 country you will get 4 8 12 16 20 making 20 your answer

Answer:

$96

Step-by-step explanation:

488 - 200 =288( The amount three sons have to pay together)

So, each son will pay 288/3 = $96

Solution:

perimeter of rectangle = 2 ( Length + Width )

Find length/width:

2 (length + length) = 48

2(length) = 24

length = 12 cm

width = 12 cm

⇒ The dimensions of square: 12 x 12

If the square cut into half, the dimensions of either length or width will half.

Therefore, the perimeter of rectangle:

→ 2 (length + width)

→ 2 ( 12 + 6 )

→ 2 ( 18 )

→ 36 cm

Answer:

  £40.

Step-by-step explanation:

In terms of ratio units, Stephen and Bridget together get 3+2 = 5, while Paul receives 4. That is, Paul gets 4/5 of their combined total, or ...

  4/5 · £50 = £40

Paul gets £40.

Given parameters:

Ratio of their money = 3 : 4 : 2

Total amount received by Stephen and Bridget = 50

Unknown :

How much did Paul get = ?

Solution:

The amount Paul got is a fraction of the total.

  We need to find the total amount first;

  Amount Stephen and Bridget got  = [tex]\frac{ratio of stephen and bridget}{total ratio} x total amount[/tex]

let the total amount = y;

                   50  = [tex]\frac{3+2}{9}[/tex] x y

                    [tex]\frac{5y}{9}[/tex]  = 50

                      5y = 450  

                      y = 90

Now, the amount Paul got;

                         = [tex]\frac{4}{9} x 90[/tex]

                          = 40

The amount Paul got is £40

Answer: the thousands place is where the nine is

Step-by-step explanation: Hope this helps!

Answer:

The remaining number in thousands units is 9

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Allie's tax amount is the amount deducted from his taxable income

Allie's tax amount is $1427

The given parameters are:

Adjusted gross income = $25,005

Exemption = $12400

Start by calculating the taxable income using

Taxable income = Adjusted gross income - Exemption

So, we have:

Taxable income = $25,005 - $12400

Evaluate the differences

Taxable income = $12605

The question is incomplete.

So, I will use the table of the single taxable income tax bracket and rates, 2016

Using the table, the tax amount on an income of $12605 is:

Tax = $927.50 + 15% * (Amount - $9275)

So, we have:

Tax = $927.50 + 15% * ($12605 - $9275)

Evaluate

Tax = $1427

Hence, Allie's tax amount is $1427

Read more about taxable income at:

https://brainly.com/question/25783927

Answer:

The real answer is $1318

Step-by-step explanation:

I hope this helps

Answer:

5-6 I think

Step-by-step explanation: