Pleae help em find the sector due in 3 minutes!

The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

The Remainder in the Synthetic division is three, for given problem

1 |__1___2__-3__3 is 3.

So, the correct option is option(c).

The Synthetic Division:

It is defined as the method of dividing the polynomial by the binomial is known as the synthetic division. It stands for polynomial division. Here, the division principle is performing in the coefficient of the polynomial.

We have given that the synthetic division is

1 |__1___2__-3__3

We find out the remainder in the synthetic division :

Multiply the carry-down value (i.e 1) by the test zero on the left, and carry the result(i.1×1 = 1) up into the next column inside:

1 | 1 2 -3 3

|______________

1

Add down the column( 2+1 = 3) :

1 | 1 2 -3 3

|____1_________

1 3

Multiply the previous carry-down value (i.e 3) by the test zero, and carry the new result up into the last column:

1 | 1 2 -3 3

|____1____3____

1 3 0

1 | 1 2 -3 3

|____1____3___0_

1 3 0 3

three, last carry-down value is the remainder.

Therefore, the remainder is 3. The option c is correct.

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Complete question:

What is the remainder in the synthetic division problem below?

a. 6

b. 4

c. 3

d. 5

Answer: English please

Step-by-step explanation:

To get the prime factorization of 14, we divide it by its smallest prime factor which is 2. Now, 14 is divided by the remaining prime factors 3, 5, 7, 11, and 13. 14 is only divisible by 7 and we get the quotient as 2. Thus, 14 has 2 prime factors.

Edit: No they copied me!!!

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

move over 5 to the right and 6 up

move 1 to the right and 4 down to get your answer

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer:

Second central moment = \((a^2 - ab + b^2) / 4\\\)

Third central moment = \((a^3 - 3a^2b + 3ab^2 - b^3) / 8\)

Step-by-step explanation:

The second central moment (also known as the variance) of a variable that takes two distinct values a and b, each with equal frequency, is given by:

Second central moment = (a - mean)^2 * frequency(a) + (b - mean)^2 * frequency(b)

where mean is the mean value of the variable, frequency(a) is the frequency with which the value a occurs, and frequency(b) is the frequency with which the value b occurs.

Since the values a and b have equal frequency, the mean value of the variable is simply the average of a and b:

mean = (a + b) / 2

Substituting this expression for the mean into the formula for the second central moment, we get:

Second central moment = (a - ((a + b) / 2))^2 * frequency(a) + (b - ((a + b) / 2))^2 * frequency(b)

= (a^2 - ab + b^2) / 4

The third central moment (also known as the skewness) of a variable that takes two distinct values a and b, each with equal frequency, is given by:

Third central moment = (a - mean)^3 * frequency(a) + (b - mean)^3 * frequency(b)

Substituting the expression for the mean and the frequencies into this formula, we get:

Third central moment = (a - ((a + b) / 2))^3 * (1/2) + (b - ((a + b) / 2))^3 * (1/2)

= (a^3 - 3a^2b + 3ab^2 - b^3) / 8

I hope this helps! Let me know if you have any questions.

the sum of the measures of the exterior angles of a 32-gon is d. 5400

Answer:1/9 i gotchu

Step-by-step explanation:

Answer:

4/8

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

The distance between the ground and the top of the slide is 2.4 meters.

Given:

The length of the slide is 4.1 meters.

The angle between slide and ground is 35 degrees.

To find:

The distance between the ground and the top of the slide.

Explanation:

Let  be the distance between the ground and the top of the slide.

Using the given information draw a figure as shown below.

In the below figure,

Therefore, the distance between the ground and the top of the slide is 2.4 meters.

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

  (a) height: 44.5 m

  (b) shadow: 71.2 m

Step-by-step explanation:

You want building height and shadow length for angles of elevation 56° and 32°, given the shadow is 30 m when elevation is 56°.

The building height and shadow length are the sides opposite and adjacent (respectively) to the elevation angle in the right triangle that models the geometry. The trig function that relates these sides to the angle is the tangent function:

  Tangent = Opposite/Adjacent

(a) building height

Using the tangent relation, we have ...

  tan(56°) = (height)/(30 m)

  height = (30 m)(tan(56°)) ≈ 44.4768 m

The height of the building is about 44.5 meters.

(b) shadow length

Using the same relation with the building height known, we have ...

  tan(32°) = (44.4768 m)/(shadow)

  shadow = (44.4768 m)/tan(32°) ≈ 71.1778 m

The length of the shadow at an angle of 32° is about 71.2 m.

Answer:

C.

Step-by-step explanation:

To get a perpendicular line, the slope will be the opposite of what you currently have. You have a slope of 2, so the opposite reciprocal slope will be -1/2. Then, you use the equation y = mx+b and substitute (2,5) for the y and the x (2 for the x and 5 for the y). This is to solve for b. Then, you have your equation! Hope this helped.

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

The combined like terms form the expression 5h - 6 - 8 + 7h is 12h - 14.

To combine like terms in the expression 5h - 6 - 8 + 7h, we group the terms with the same variable, h, together.

First, let's combine the terms with h:

5h + 7h = 12h.

Now, let's combine the constant terms:

-6 - 8 = -14.

Putting it all together, the expression simplifies to:

12h - 14.

Thus, the combined like terms form the expression 12h - 14.

When combining like terms, we add or subtract coefficients that have the same variable raised to the same power. In this case, both terms have h, so we can add their coefficients, 5 and 7, to get 12h. The constant terms, -6 and -8, can be added together to give -14.

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The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

For fau/cet filter:

For pitcher-filter:

Let's start with the fau/cet model:

Contribution margin per unit = selling price - variable cost

Contribution margin per unit = $90 - $25

Contribution margin per unit = $65

Contribution margin ratio = contribution margin per unit / selling price

Contribution margin ratio = $65 / $90

Contribution margin ratio = 0.722

The sales mix is 2 faucet models for every 3 pitcher filters sold, so the contribution margin weighted average is:

= (2/5)($65) + (3/5)($90-$20)

= $42

Now we can calculate the break-even point in units for the faucet model:

= Total fixed costs / contribution margin per unit

= $1,200,000 / $42

= 28,571 units

For pitcher filter:

Contribution margin per unit = selling price - variable cost

Contribution margin per unit = $110 - $20

Contribution margin per unit = $90

Contribution margin ratio = contribution margin per unit / selling price

= $90 / $110

Contribution margin ratio = 0.818

Contribution margin weighted average:

= (2/5)($25) + (3/5)($90-$20)

= $54

Break-even point in units for pitc/her filter:

= Total fixed costs / contribution margin per unit

= $1,200,000 / $54

= 22,222 units

Break-even point in dollars for fau/cet model:

= 28,571 units x $90 per unit

= $2,571,390

Break-even point in dollars for pitc/her-filter:

= 22,222 units x $110 per unit

= $2,444,420

Full question "Multiproduct CVP and decision making. Crystal Clear Products produces two types of water filters. One attaches to the faucet and cleans all water that passes through the faucet. The other is a pitcherfilter that only purifies water meant for drinking. The unit that attaches to the faucet is sold for $90 and has variable costs of $25. The pitcherfilter sells for $110 and has variable costs of $20. Crystal Clear sells two faucet models for every three pitchers sold. Fixed costs equal $1,200,000.

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Answer: D ($89.10)

Step-by-step explanation:i took the test

Answer:

Mean = 243.625

Median = 275.5

Mode = 284

Each value is exact without any rounding.

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

Original data set:

$155 $267 $284 $194 $299 $284 $287 $179

Let's remove the dollar signs, and separate each item with a comma:

155,267,284,194,299,284,287,179

Then sort the values from lowest to highest.

155,179,194,267,284,284,287,299

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

To find the mean, we add up the values and divide by n = 8 since there are 8 items in the list.

(155+179+194+267+284+284+287+299)/8 = 243.625 is the mean

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

Refer to the sorted data set.

The median is the middle-most value. Because the sample size n = 8 is even, we'll have two values tied for the middle.

n/2 = 8/2 = 4

The items in slot 4 and 5 are tied for the middle.

The values in slot 4 and 5 are 267 and 284 in that exact order.

Compute the midpoint: (267+284)/2 = 275.5 is the median

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

The mode is the most frequent value. Look through the sorted data set to see that 284 shows up twice. This is the most frequent compared to the other values (that show up only once).

Therefore, the mode is 284

Side note: It's possible to have multiple modes. It's also possible to not have any modes at all.

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Answer:

0.00168918918

Step-by-step explanation:

Answer:

about 0.0017

Step-by-step explanation:

with a couple more digits, its 0.00168918918

GF preserves the identity and addition operations, and hence GF: V→U is an isomorphism.

First, we will show that GF is linear. Let u, v be vectors in V and c be a scalar in K. Then we have:

\(GF(cu + v) = G(F(cu + v)) = G(cF(u) + F(v)) = G(cF(u)) + G(F(v))= cG(F(u)) + G(F(v)) = c(GF(u)) + GF(v)\)

Thus, GF is linear.

Next, we will show that GF is bijective. Since F and G are isomorphisms, they are both invertible. Let\(F^-1\)and \(G^-1\) denote their respective inverses. Then for any u in U, we have:

\((GF)^-1(u) = F^-1(G^-1(u))\)

This shows that GF is invertible, and hence bijective.

Finally, we will show that GF preserves the identity and addition operations. Let v1, v2 be vectors in V. Then we have:

\(GF(v1 + v2) = G(F(v1 + v2)) = G(F(v1) + F(v2)) = G(F(v1)) + G(F(v2))= GF(v1) + GF(v2)\)

Also, since F and G are isomorphisms, they preserve the identity operations:

\(GF(0v) = G(F(0v)) = G(0w) = 0u\\GF(v) = G(F(v)) = G(0w) = 0u if v=0v\)

Thus, GF preserves the identity and addition operations, and hence GF: V→U is an isomorphism.

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