If the director selects 50 employees at random from throughout the company and categorizes their lunchtime practices by gender, she is: a. blocking for gender b. testing for a lurking variable c. promoting sexual harassment d. testing for bias e. none of these

The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer: 103,000

Step-by-step explanation:

Answer:

Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle. However, right triangles with non-integer sides do not form Pythagorean triples.

Step-by-step explanation:

Answer:

\(\huge\bold\purple{ hope \:it's \:help \:u }\)

\( {17}^{2} = {8}^{2} + {x}^{2} \\ 289 = 64 + {x}^{2} \\ 289 - 64 = {x}^{2} \\ {x}^{2} = \sqrt{225} \\ x = 25(pythagorean \: tripet)\)

The equation represents this situation is 45 - 4t = 37

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

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

The number of balls left = Sets of tennis balls * Number of  balls in each set - Tennis ball lost in each match * Number of matches

Substitute the known values in the above equation, so, we have the following representation

37 = 15 * 3 - 4 * t

Evaluate the products

37 = 45 - 4t

Rewrite as

45 - 4t = 37

Hence, the equation is 45 - 4t = 37

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Answer:

none (as shown) or

one if all uppercase letters

Step-by-step explanation:

A line of symmetry is a line you could place on a shape (usually a square, rectangle, triangle, etc, but here the "shape" is the word checkbook) which, if you folded the shape on the line, the two halves of the shape would exactly match each other.

"checkbook" does NOT have any lines of symmetry. BUT,

CHECKBOOK

does have a line of symmetry, horizontally, right thru the middle.

The coordinates of A' are (5, -3).

Since the reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D, the coordinates of A" are (8, -1).

In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

Since quadrilateral A'B'C'D' underwent a reflection across the x-axis to form quadrilateral AB'CD', the original coordinates of triangle NLM can be calculated as follows;

(x, y)            →      (-x, y)

A (-5, -3)      →     A' (5, -3)

By applying a translation, we have:

A' (5, -3)  →      (5 + 3, -3 + 2) = A" (8, -1).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:  A. 2 17 /21

Step-by-step explanation:you divide them.You change both mixed number to improper fraction.which is 236  /9  divide  28 /3.You do kcf which stand for KEEP CHANGE FLIP.YOU KEEP 236/9 and change Divide to mulipction sign and flip 28/3 to 3/28.You multiply236  /9  and  28/3 which gives u 708  /252.After that u simply it to 59 /21 .Lastly change back to mix number which is 2 17/21.

Hope it helps bye ;)

Answer:

-2

Step-by-step explanation:

the rate of change or slope (M) is -2

Hope this helps:P

\(\bold{\huge{\underline{ Solution }}}\)

Here, we have to find the value of x

We have given quadrilateral ABCD here , whose angles are as follows

[ The measure of right angled triangle is 90° ]

We know that,

That is

\(\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}\)

Subsitute the required values

\(\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}\)

\(\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}\)

\(\sf{ 15x - 5 = 360{\degree} - 170{\degree}}\)

\(\sf{ 15x - 5 = 190 {\degree}}\)

\(\sf{ 15x = 190 {\degree} + 5 }\)

\(\sf{ 15x = 195 {\degree}}\)

\(\sf{ x = }{\sf{\dfrac{ 195}{15}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}\)

\(\bold{ x = 13 }\)

Hence, The value of x is 13 .

\(\bold{\huge{\underline{\red{ Verification }}}}\)

Measure of Angle A

\(\sf{ = (6x + 5){\degree}}\)

\(\sf{ = (6(13) + 5 ){\degree}}\)

\(\sf{ = (78 + 5 ){\degree}}\)

\(\sf{ = 83{\degree}}\)

Measure of Angle D

\(\sf{ = (9x - 10){\degree}}\)

\(\sf{ = (9(13) - 10){\degree}}\)

\(\sf{ = (117 - 10 ){\degree}}\)

\(\sf{ = 107{\degree}}\)

Now, we know that,

That is,

\(\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}\)

\(\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}\)

\(\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}\)

\(\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}\)

\(\bold{ 360{\degree} = 360{\degree}}\)

\(\bold{ LHS = RHS }\)

Hence, Proved.

Answer:

Yes

Step-by-step explanation:

3 degrees Celsius in farenheit is 37.4 which is between 37 and 40

Question: "Which of the following assessment types has the greatest effect on your overall grade?"

Answer: "Out of all the assessment types, 'tests' have the greatest effect on your overall grade as a student. Hence, Option D would be the best choice."

The  assessment types has the greatest effect on your overall grade is test.

The following information should be considered;

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Answer:

Exact form: 19 multiply 4200^28 + 1972^31 / 19

Decimal form: 3.55481422 multiply 10^101

The volume of the solid obtained by rotating Q around the y-axis is 26π/3.

To find the volume of the solid obtained by rotating the region Q around the y-axis, we can use the formula for the volume of a solid of revolution:

V = ∫[a,b] π(r(x))^2 dx

where r(x) is the distance from the y-axis to the point on the curve at x, and [a,b] is the interval of integration.

In this case, the region Q is bounded by the curves f(x)=x/2 and g(x)=x, and the lines y=1 and y=3. To find the limits of integration, we need to solve for x in the equations y=x/2 and y=x, giving x=2y and x=y, respectively. Thus, the limits of integration are y=1 and y=3.

The distance from the y-axis to a point on the curve is simply x, so r(x) = x. Substituting x=2y and x=y into this formula, we get r(y) = 2y and r(y) = y, respectively. As a result, the solid's volume is:

V = ∫[1,3] π(2y)^2 - π(y)^2 dy

= π ∫[1,3] (4y^2 - y^2) dy

= π ∫[1,3] 3y^2 dy

= π [y^3]_1^3

= 26π/3

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The unit price for the apples is $1.5 per pound. The statement is true.

Now, According to the question:

How to calculate the Unit rate of the cost per pound?

8 pounds of Apple costs $12

The unit rate is

8= 12

1= x

We can write, by cross - multiply

8x = 12

x= 12/8

x= 1.5

Hence, the unit rate of the cost per pound is $1.5

And,  5 pounds of apples cost $7.50

cross multiply,

5× 12/8

60/8 = 7.50

5 pounds of apples = 7.50

Hence, The unit price for the apples is $1.5 per pound. The statement is true.

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For diagram A, the unsimplified equation represents the relationship between x and y is y = x + x/3.

For diagram B, the unsimplified equation represents the relationship between x and y is y = x + 2x/3.

For diagram C, the unsimplified equation represents the relationship between x and y is y = x - x/3.

For diagram D, the unsimplified equation represents the relationship between x and y is y = x - 2x/3.

Performing mathematical operations reduces an unsimplified equation to a simplified equation. A simplified equation is used for convenience.

Diagram A:

The value of x contains 3 congruent colored rectangles. The noncolored rectangle is 1. So, the value of the noncolored rectangle will be x/3.

Clearly, y will be the sum of x and x/3, that is, y = x + x/3.

Therefore, the obtained answer is y = x + x/3.

Diagram B:

The value of x contains 3 congruent colored rectangles. The noncolored congruent rectangles are 2. So, the value of the noncolored rectangles will be 2x/3.

Clearly, y will be the sum of x and 2x/3, that is, y = x + 2x/3.

Therefore, the obtained answer is y = x + 2x/3.

Diagram C:

The value of x contains 3 congruent colored rectangles. So, the value of 1 rectangle will be x/3.

Clearly, y will be the difference between x and x/3, that is, y = x - x/3.

Therefore, the obtained answer is y = x - x/3.

Diagram D:

The value of x contains 3 congruent colored rectangles. So, the value of 2 congruent rectangles will be 2x/3.

Clearly, y will be the difference between x and 2x/3, that is, y = x - 2x/3.

Therefore, the obtained answer is y = x - 2x/3.

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Answer:

8

Step-by-step explanation:

100 - 60 = 40

40 - 20 = 20

20 - 12  = 8

if you can mark me brainlist

60 + 20 + 12=92

so, 100-92 is 8

therefore 8 are in neither the band nor the orchestra

Step-by-step explanation:

The maximum area is the highest possible area of the fence

The maximum area is 100 squared units

The perimeter is given as:

\(P = 40\)

This is calculated as:

\(P=2 \times (L + W)\)

So, we have:

\(2 \times (L + W) =40\)

Divide both sides by 2

\(L + W =20\)

Make L the subject

\(L =20 -W\)

The area of the fence is:

\(A = L \times W\)

So, we have:

\(A = (20 -W) \times W\)

\(A = 20W -W^2\)

Differentiate

\(A' = 20 -2W\)

Set to 0

\(20 -2W = 0\)

Solve for W

\(2W = 20\)

\(W = \frac{20}{2}\)

\(W = 10\)

Recall that:

\(A = (20 -W) \times W\)

\(A = (20 -10) \times 10\)

\(A = (20 =10) \times 10\)

\(A = 100\)

Hence, the maximum area is 100 squared units

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The phonetic property or features that distinguishes the set of sounds in set A from those in set B is Voicing.

Voicing is the phonetic property or feature that distinguishes the set of sounds in set A from those in set B.

Voicing is the difference between sounds that are produced either with vibration of the vocal folds, which is voiced, or without such a vibration, which is voiceless.

Voicing is a crucial feature in distinguishing the two sets of sounds.

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The number of days during the next year when she did not receive a phone call from any of her grandchildren was 304. Mrs. Sanders received a call from each of her three grandchildren on December 31, 2016.

Mrs. Sanders received a call from each of her three grandchildren on December 31, 2016. Let's suppose the number of days that pass between the calls made by the first, second, and third grandchildren are a, b, and c days, respectively. The first grandchild calls her every three days, so the next time the grandchild would call would be on January 3, 2017 (3 days after December 31, 2016). Similarly, the second grandchild calls her every four days, so the next time the grandchild would call would be on January 4, 2017 (4 days after December 31, 2016). Lastly, the third grandchild calls her every five days, so the next time the grandchild would call would be on January 5, 2017 (5 days after December 31, 2016). Therefore, the first call in 2017 would be on January 3, 2017, and the next call would be made after (LCM of 3, 4, and 5) - 1 days.

Here, the LCM of 3, 4, and 5 is 60, and so the first time she does not receive a call would be on the 61st day (February 28, 2017) because February has only 28 days (29 days in leap year).In the year 2017, Mrs. Sanders would receive calls on 6th, 8th, 9th, 11th, 12th, 14th, 16th, 17th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of January;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 17th, 19th, 21st, 22nd, 24th, 26th, 27th of February;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of March;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of April;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of May;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of June;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of July;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of August;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of September;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of October;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of November;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of December.

Therefore, the number of days during the next year when she did not receive a phone call from any of her grandchildren was 304. (i.e., 365-61).

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Answer:

$18,000.

Step-by-step explanation:

When their weekly pay is the same:

185 + 0.03x =  275 + 0.025x

0.03x - 0.025x =  275 - 185

0.005x = 90

x =90/0.005

x = 18,000

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

2.66666666667

1.14285714286

Step-by-step explanation:

Answer:

1 divided by 3/8=2 2/3 and 5 divided by 7/8=5 5/7

Step-by-step explanation:

first you have to divided the 1 and 3/8 you will get 8/3 then you divided that and you will get 2 2/3

After you do that one you go to 5 divided by 7/8 you will get 40/7 then you divided that and you will get 5 5/7

Answer:

I think it's 5

Step-by-step explanation:

im not sure

but correct me if I'm wrong

The linear approximating polynomial for the function f(x) = 32x^3/2 centered at a is:32a^3/2 + 48a^(1/2)(x-a)sample.

This can be obtained using the formula for the linear approximation of a function:f(x) ≈ f(a) + f'(a)(x-a)where f'(a) is the derivative of f(x) evaluated at a.To find the derivative of f(x), we use the power rule, which states that the derivative of x^n is n*x^(n-1).

Therefore, the derivative of f(x) = 32x^3/2 is:f'(x) = 3*32*x^(3/2-1) = 96x^(1/2)Evaluating this at x=a, we have:f'(a) = 96a^(1/2)Finally, substituting into the linear approximation formula, we get:f(x) ≈ f(a) + f'(a)(x-a)f(x) ≈ 32a^3/2 + 96a^(1/2)(x-a)f(x) ≈ 32a^3/2 + 48a^(1/2)(x-a) * 2 / 2f(x) ≈ 32a^3/2 + 48a^(1/2)(x-a)

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Answer:

The sum of three and xy is equal to 5

or

The difference of xy and 3 is 5

Step-by-step explanation:

\({ \tt{xy = 5 + 3}} \\ \)

Answer:

1.1n represents the cost of the pencils

1.7m is the cost of the pads of paper

The expression represents that she bought a package of pencils and a pad of paper

Step-by-step explanation: