Out of 106 total sophomores, there were forty-eight boys who received either an A, B, or C on their first math test. Out of the twenty-eight total A’s, sixteen girls received A’s. Out of the total fifty-four B’s, thirty girls received B’s. Twelve boys received a C out of the twenty-four total C’s on the test. Which two-way table represents this information? A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 44, 28, 16. The third column is labeled B with entries 84, 54, 30. The fourth column is labeled C with entries 24, 12, 12. The fifth column is labeled Total with entries 106, 58, 48. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 12, 16, 28. The third column is labeled B with entries 24, 30, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 48, 58, 106. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 16, 12, 28. The third column is labeled B with entries 30, 24, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 58, 48, 106.

Answers in bold:

=======================================================

Explanation:

I'm not sure how your calculator works, but I'm assuming you can copy/paste the given numbers into the calculator somehow to have it determine the regression equation.

The tool I used is GeoGebra and the regression equation it produced was

y = 1.2x - 21.3

Each decimal value is approximate and rounded to the nearest tenth.

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

Once we determine the regression line, plug the homework grade x = 45 to find the associated test grade (y). This is a predicted test grade.

y = 1.2x - 21.3

y = 1.2*45 - 21.3

y = 32.7

y = 33

If a student got a 45 on a homework, then we predict their test grade should be around 33.

Answer:

Step-by-step explanation:

Q1

Q2

Answer:

Ratio is the proportion between two numbers.

Percent is the ratio times 100.

Rate is the change of a number per unit time.

Step-by-step explanation:

1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.

2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.

3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.

4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.

5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.

Hope it helped ! Have a nice day

Answer:

3/16

Step-by-step explanation:

you do length x width x height, and get 3/16

The speed to his sister house is 50mph.

The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Here, let the speed of his sisters house be x mph.

then, 3x = 2.5(x+10)

         3x = 2.5x + 25

        3x - 2.5x = 25

        0.5x = 25

          x = 25 / 0.5

         x = 50

Thus, The speed to his sister house is 50mph.

Learn more about Speed from:

https://brainly.com/question/7359669

#SPJ1

Step-by-step explanation:

Perimeter of garden = 264 m

width of the garden = 56 m

length of the garden = ?

Now..

Perimeter = 2 ( l + b )

264m = 2l + 112

264 - 112 = 2l

152 = 2l

l = 152 / 2

l = 76 m

Hence the length is 76m

[tex]...[/tex]

The polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

The polar form is represented with the aid of polar coordinates of real and imaginary numbers in the coordinate system.

The horizontal and the vertical axis of the polar form denote the real axis and the imaginary axis, respectively.

The given equation to polar form is;

[tex]\rm x^2+y^2=64[/tex]

Using the formulae that link Cartesian to Polar coordinates.

x = rcosθ and y = rsinθ

Substitute these values into the equation.

[tex]\rm x^2+y^2=64\\\\(rcos\theta)^2+(rsin\theta)^2=64\\\\r^2cos^2\theta +r^2sin^2\theta =64\\\\r^2(cos\theta^2+sin\theta^2)=64\\\\Where ; \ sin^2\theta + cos^2\theta=1\\\\r^2(1)=64\\\\ r^2=8^2\\\\r=8[/tex]

Hence, the polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

Learn more about polar form here;

https://brainly.com/question/13732976

#SPJ4

Answer:

3x - 9

Step-by-step explanation:

We already have the expression 4x + 2x − 3x − 9. Now, we just have to add like-terms. This will give us 3x - 9.

Step-by-step explanation:

2x(2)+2x(1)-3(x)-3(3)

4x+2x- 3x-9

since they are of same like terms we add them

=3x - 9

If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.

If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.

Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have

4x – 2z = A

x + y + z = 15

If A = -2 and x = 3, then we have

4 × 3 – 2z = -2

      12 + 2 = 2z

              z = 7

Then the value of y will be

3 + y + 7 = 15

           y = 5

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

your answer is 9

Step-by-step explanation:

3+3/4+5+1/4

3+5=8

3/4+1/4=4/4

4/4=1/1

1/1=1

8+1=9

9 miles

Answer:

x = - 71

Step-by-step explanation:

-11x -44 + 10 x =27

-x = 71

x = - 71

Answer:

-71

Step-by-step explanation:

You can first distribute the numbers in the parenthesis.

-11x-44 (-11*x-11*4)

-11x-44+10x=27

You can now combine like terms.

-11x+10x=-1x

-1x-44=27

This is now a two-step equation problem.

-1x-44=27

    +44=+44

     -1x=71

       [tex]\frac{-1x}{-1}[/tex] =[tex]\frac{71}{-1}[/tex]

x=-71

The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7

From the figure in the question, we have the following highlights:

The dimensions of a matrix are represented by: Row by column

Hence, the dimensions of the matrix are 3 by 3

This is given as:

a₂₃

This means that the element is located at the second row and the third column.

The element at this position is -7

Hence, the indicated element is -7

Read more about matrix at:

https://brainly.com/question/2456804

#SPJ1

Answer: The second option, 1/3, 0.33, 33%

Step-by-step explanation:

    We will put the number of wanted outcomes over the number of total outcomes. 1 and 6 is two wanted outcomes.

2 / 6 = 1/3

     Now, 1/3 is equal to 0.33. A decimal multiplied by 100 is a percent, so it is also equal to 33%. Your answer is:

         1/3, 0.33, 33%

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

Answer:

1. 37 degrees, 2. 39 degrees, 3. 27 degrees

Step-by-step explanation:

You look at the total angle and subtract it by the angle that is given in the question since the two angles should add up to the whole angle of both. You should look at the number that is outside the angles and subtract it by the angle number inside then you will get the missing angles. The last one it is showing a 90 degree angle which is formed so you subtract 63 from 90.

Answer:D.6

Step-by-step explanation:

just divide

Answer:

the answer is 56

Step-by-step explanation:

2x+3x+5=90

5x=90-5

5x=85

x=85/5

x=17

YVZ= 3(17)+5

YVZ=51+5

YVZ=56

Answer:

2.25km

Step-by-step explanation:

Calculate the total distance:

9km/ 0.80 x 100% = 11.25km

The walker has travelled 9km, so

11.25km - 9km = 2.25km left

The number of the pages in the book if the first page will be numbered as 1 will be 1099 pages. And if the number of the pages is n then the function is shown below.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

In numbering pages of a book, a printer used 3289 digits.

Then the number of the pages in the book if the first page will be numbered as 1.

One digit number = 1 - 9 = 9 digits

Two digit number = 10 - 99 = 2 x 90 = 180 digits

Three digit number = 100 - 999 = 3 x 900 = 2700 digits

Then the total number of the digit is used will be

→ 9 + 180 + 2700

→ 2889

The number of the remaining digits will be

→ 3289 - 2889

→ 400

Then the four-digit number will be

→ 400/4

→ 100

Then the total number of the pages will be

Total pages = 9 + 90 + 900 + 100

Total pages = 1099

If n pages are there, then the number of the digits are required will be

[tex]\left\{\begin{matrix}n, & 1\leq n\leq 9 \\9+(n-9)2, & 10\leq n\leq 99 \\189+(n-9)3, & 100\leq n\leq 999 \\. & . \\. & . \\\end{matrix}\right.[/tex]

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

9

Step-by-step explanation:

1.2 * 10 (9) You need to move it 9 places to the left

Answer:

c if not d

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

672/6 = 112

Answer:

112

Step-by-step explanation:

672 divided by 6 is 112. There are 112 eggs in each box.

Answer: Ok

Step-by-step explanation:

Step-by-step explanation:

what are y'all doing so sad I can relate

Using conditional probability, it is found that the correct option regarding whether the events are independent is given by:

A. No, they are not independent because P(student) = 0.80 and P(student|Viking) =0.94.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

An event B is classified as independent if:

P(B|A) = P(B).

In this problem, 100 out of the 125 people sampled are students, hence the probability is given by:

P(student) = 100/125 = 0.8.

Out of the people that prefer to be a Viking, 80 out of 85 people are students, hence:

P(student|Viking) = 80/85= 0.94.

The probabilities are different, hence the events are not independent, and option A is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

#SPJ1

Answer:

8a - 6b

You have to substitute in you other numbers:

a = 4 and b = 3

Your new equation would be:

8(4) - 6(3)

Now solve:

8 x 4 = 32

6 x 3 = 18

New problem:

32 - 18

= 14

So your answer is 14.

Step-by-step explanation:

Hope this helps!

From your neighborhood softie :)

Answer:

if am correct your answer will be letter d

Step-by-step explanation:

Answer:

Y = 4/3x + 3

Step-by-step explanation:

Hi, I am not sure if you want me to grah this or not. However, I have still provided you with the formula for this line.

Answer:

[tex]2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{24} -5\sqrt{12} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=\sqrt{4\times 6} -5\sqrt{4\times 3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=\sqrt{4} \times \sqrt{6} -5\times\sqrt{4} \times \sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -5\times2\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -10\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]

[tex]=2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]

Answer:

[tex] \boxed{ \tt 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} }[/tex]

or

[tex] \boxed{ \tt \approx - 12.1}[/tex]

Step-by-step explanation:

Simplify:

[tex] = \tt \sqrt{ {2}^{2} \times 6} −5 \sqrt{12} +4√2−3√3[/tex]

[tex] = \tt \: 2 \sqrt{6} - 5 \sqrt{12} + 4 \sqrt{2 } - 3 \sqrt{3} [/tex]

[tex] = \tt2 \sqrt{6} - \sqrt{ {2}^{2} \times 3} + 4 \sqrt{2} - 3 \sqrt{3} [/tex]

[tex] = \tt \: 2√6−5(2√3)+4√2−3√3[/tex]

[tex] \tt = 2√6−10√3+4√2−3√3[/tex]

[tex] \tt = 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} [/tex]

[tex] \tt \approx \: - 12.1[/tex]

[tex] \rule{225pt}{2pt}[/tex]

Answer:

1050

Step-by-step explanation:

just add 200 x 5 then add 50    its simple