In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.
The simplified expression for the area of rectangle ABCD is

Answer:

Sample means and the grand mean

Step-by-step explanation:

The total sum of squares present in the sample can be partitioned into two parts.

1) Within sum of squares ( also called error sum of squares)

2) Between sum of squares

The first part is the sum of squares of deviations of the observations from the sample mean and is called the within sum of squares ( also called error sum of squares).

The second part is the weighted sum of the square of deviations of the sample means from the grand mean and is called between sum of squares.

Thus symbolically

Totastal SS = Within SS + Between SS

Answer:

The first one

Step-by-step explanation:

I did this and got it right and I solved it

8×3 equal 24/1 so make it to a whole number 24

Answer:

100

Step-by-step explanation:

Answer: first 360 second 1080 third horizontal stretch

Step-by-step explanation:

The period of this parent cosine function [y=cos(x)] is equal to 360 degrees.

The period of a cosine function can be defined as the overall length of the interval of values on the x-axis over which a graph lies and it's repeated. Mathematically, the period of this parent cosine function [y=cos(x)] is given by:

T = 2π/A

Where:

When A = 1, we have:

T = 2π/1 = 360 degrees.

For the graphed function, the period of this cosine function is given by:

T = 6π

T = 6 × 360

T = 1080 degrees.

Read more on cosine function here: https://brainly.com/question/4599903

Answer:

=180-50-70

=50

Step-by-step explanation:

=180-50-70

50

Answer: THE ONE ABOVE IS WRONG

A= 3V/h

​

Step-by-step explanation:

Formulas may contain multiple variables, along with known numbers and letters that stand for known constants like \piπpi.

We can highlight a certain variable in the formula by treating the formula as an equation where we want to solve for that variable.

In this case, we need to solve the equation V =\dfrac{1}{3}AhV=

3

1

​

AhV, equals, start fraction, 1, divided by, 3, end fraction, A, h for AAA.

Hint #22 / 3

\begin{aligned} V&=\dfrac{1}{3}Ah \\\\ \dfrac{3V}{h}&=A \end{aligned}

V

h

3V

​

​

=

3

1

​

Ah

=A

​

Hint #33 / 3

This is the result of rearranging the formula to highlight the base area:

A=\dfrac{3V}{h}A=

h

3V

​ It works I did it in Khan

Answer:

90

Step-by-step explanation:

72 is the least and 90 is the greatest

87 is the second most greatest and 83 is the third most.

Therefore the answer is 90

Answer:

15

Step-by-step explanation:

trust me bro

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 3x + 3 ← equation of line → A

Answer:

2/3 km per minute

Step-by-step explanation:

kilometers

1 1/3 - 2/3 = 2/3km

Minutes

2 - 1 = 1 minute

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

Spped

(2/3 km) / (1 minute)

2/3 km per minute

Answer:

[tex](6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} [/tex]

Answer:

The y-intercept is y = -4.

The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]

The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]

Step-by-step explanation:

Quadratic equation:

Has the following format:

[tex]y = ax^2 + bx + c[/tex]

The y-intercept is c.

Finding the x-intercepts:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Vertex:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

In this question:

The quadratic equation is [tex]2x^2 - 7x - 4[/tex], which has [tex]a = 2, b = -7, c = -4[/tex]. This means that the y-intercept is y = -4.

x-intercepts:

[tex]\Delta = (-7)^2-4(2)(-4) = 81[/tex]

[tex]x_{1} = \frac{-(-7) + \sqrt{81}}{2*2} = 4[/tex]

[tex]x_{2} = \frac{-(-7) - \sqrt{81}}{2*2} = -\frac{1}{2}[/tex]

The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]

Vertex:

[tex]x_{v} = -\frac{(-7)}{2*2} = \frac{7}{4}[/tex]

[tex]y_{v} = -\frac{81}{4(2)} = -\frac{81}{8}[/tex]

The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]

Answer:

h^9

Step-by-step explanation:

When divided you subtract exponents 14-5=9

The expression using a single exponent is (d) h^9

From the question, we have the following parameters that can be used in our computation:

h^14 over h^5

This means that

h^14/h^5

Apply the law of indices

So, we have

h^14/h^5 = h^(14 - 5)

This gives

h^14/h^5 = h^9

Hence, the solution is (d) h^9

Read more about expressions at

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Answer:

D (1, 2), (2, 4), (4,8)

Step-by-step explanation:

Points lying on the same line:

If three points lie on the same line, the change in y has to be always the same when x changes by 1.

А. (0, 1), (-1, 3), (1, 3)

(-1,3) to (0,1): x changes by 1, y by -2

(0,1) to (1,3): x changes by 1, y by 2

So these points are not on the same line.

B. (4, 2), (2, 1), (4, -2)

Two values for y when x = 4, so not on the same straight line.

C (0, 0), (8, 0), (0, 8)

Two values for y when x = 0, so not on the same straight line.

D (1, 2), (2, 4), (4,8)

Here, when x changed by 1(from 1 to 2), y changed by 2.

When x changed by 2(from 2 to 4), y changed by 2*2 = 4.

So these points are on a straight line, and D is the correct answer.

Answer:

22 in. or B

Step-by-step explanation:

add all the sides

Answer:

The Answer would be B)22 in.

Step-by-step explanation:

if you add the sides together then multiply by 2 you will get 22 in. I hope this helpped!

Answer:

2.8 liters

Step-by-step explanation:

6 - 3.20 = 2.8

Answer:

2 4/5

Step-by-step explanation:

6-3 1/5 = 2 4/5

at lunch four friends drink 8 pints of milk. how many fluid ounces is this equal to?

128 FL

Answer:

The answer is choice #1 or 128 Fluid ounces

Step-by-step explanation:

8 pints = 128 oz

Answer:

The correct solution is "x=3 or x=9".

Step-by-step explanation:

The given equation is:

⇒  [tex]x^2 - 12x + 49 = 22[/tex]

On subtracting "22" from both sides, we get

⇒  [tex]x^2-12x+49-22=22-22[/tex]

⇒          [tex]x^2-12x+27=0[/tex]

On factorizing the above equation, we get

⇒  [tex]x^2-9x-3x-27=0[/tex]

By taking common, we get

⇒  [tex]x(x-9)-3(x-9)=0[/tex]

⇒          [tex](x-3)(x-9)=0[/tex]

⇒                        [tex]x-3=0[/tex]

                                 [tex]x=3[/tex]

Or,

⇒                        [tex]x-9=0[/tex]

                                [tex]x=9[/tex]

Answer:

15m^2

Step-by-step explanation:

2m*3m = 6m^2

3m*3m = 9m^2

Answer: 6m^2 + 9m^2 = 15m^2

Feel free to mark as brainliest :D

Answer:

d. 128

Step-by-step explanation:

a. 0

b. 4

c. 64

d. 128

Answer:

[tex] \frac{20}{29} [/tex]

Step-by-step explanation:

Let x replace theta.

Apply pythagorean trig identity

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

[tex] (\frac{21}{29} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]

[tex] \frac{441}{841} + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{441}{841} [/tex]

[tex] \cos {}^{2} (x) = \frac{400}{841} [/tex]

[tex] \cos(x) = \frac{20}{29} [/tex]

Cosine is positve in 1st quadrant so the answer is

[tex] \frac{20}{29} [/tex]

Answer:

656×756÷765+656+65=

Step-by-step explanation:

it was soo easy now i get what it is talking about no

Answer:

D. Both of the dot A and B have the same mean

Answer:

No, a 25-year-old job applicant cannot be two standard deviations below the mean

Step-by-step explanation:

There are two frequencies 25 and 65

Mean of the two frequencies = 25+65/2 = 45

Standard deviation =

[tex]\frac{65-25}{\sqrt{12} } \\= 11.55[/tex]

Mean - 2 x standard deviation [tex]= 45 - 2 * 11.55 = 21.9[/tex]

[tex]21.9 < 25[/tex]

Thus, a 25-year-old job applicant cannot be two standard deviations below the mean

Answer:

0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials?

2.45 standard deviations above the mean is Z = 2.45, so this probability is the p-value of Z = 2.45.

Looking at the z-table, Z = 2.45 has a p-value of 0.9929.

0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials

Answer:

7. D) 61in

8. A) 57in

9. A) 47in

Step-by-step explanation:

The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.

7.

AB + BC + AC = 145

Substitute,

2x + 2x + 5 + x = 145

Simplify,

5x + 5 = 145

Inverse operations,

5x + 5 = 145

-5

5x = 140

/5

x = 28

Substitute,

AC = 2x + 5= 2(28) + 5 = 61

8.

AB + BC + AC = 135

Substitute,

2x + 2x + 5 + x = 135

Simplify,

5x + 5 = 135

Inverse operations,

5x + 5 = 135

-5

5x = 130

/5

x = 26

Substitute,

AC = 2x + 5 = 2(26) + 5 = 57

9.

AB + BC + AC = 122

Substitute,

x + 22 + 2x + x = 122

Simplify,

4x + 22 = 122

Inverse operations,

4x + 22 = 122

-22

4x = 100

/4

x = 25

Substitute,

AB = x + 22 = 25 + 22 = 47

Answer:

The answer is "[tex]28^{\circ}[/tex]"

Step-by-step explanation:

Please find the complete question in the file.  

The angle F measure is identical to the angle C measure.

The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.

[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]

Answer:

the mean of those numbers is 17.1

Answer:

The M.A.D (mean absolute deviation) is 2.3

Bonus (Just in case you need it): The Mean is 17.1

Have a good day!