Given the following information, determine which lines , if any , are parallel.State the converse that justifies your answer.

1. Mean time to complete a specific task for 30 workers from this company refers to A: sample.

2. All employees from this company are known as F: population

3. A employee from this company is called an C: individual

4. Mean time to complete a specific task for all workers from this company is said to be as B: parameter.

5. 30 employees from this company make E: statistic

6. Time to complete a specific task is called a D: variable

"Sample" refers to a subset of a larger population that is selected for study. In this case, the "sample" is the 30 workers from the company whose times to complete the task have been recorded.

"Population" refers to the entire set of units or items under study. In this case, the "population" is all workers from the company.

"Individual" refers to a single unit or item in a set. In this case, an "individual" is a single worker from the company.

"Parameter" refers to a characteristic or value that describes a population. In this case, the "parameter" is the mean time it will take all workers from the company to complete the task.

"Statistic" refers to a value that describes a sample. In this case, the "mean time to complete a certain task for 30 workers from this company" is a statistic.

"Variable" refers to a value that can change within a set. In this case, "time to complete a certain task" is the variable of interest.

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Answer:

The area of the first lawn is 64 = 24 square meters.

The area of the second lawn is 6 times bigger, so it is 246 = 144 square meters.

As the second lawn has the same width as the first one, 4 meters, we can calculate the length of the second lawn by dividing the area of the second lawn by its width.

So, the length of the second lawn is 144/4 = 36 meters.

The total amount that he will be charged for the shipping is given as follows:

$34.88.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

Jerry is charged $2.25 per pound for shipping, hence the constant is given as follows:

k = 2.25.

Meaning that the equation for the total cost for a weight of x pounds is given as follows:

y = 2.25x.

The total weight is given as follows:

3.2 + 3.8 + 4 + 4.5 = 15.5 pounds.

Hence the total cost is given as follows:

y = 2.25 x 15.5

y = $34.88.

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Approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.

The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Given that the mean of housing prices is $152,000 and the standard deviation is $8,000, we can use the Empirical Rule to determine that approximately 68% of housing prices fall within one standard deviation of the mean. This means that the range of prices that contains 68% of the data is between:

$152,000 - $8,000 = $144,000 and $152,000 + $8,000 = $160,000.

So, approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.

The slopes I found are (A) equivalent. This means that the slope triangles are (B) similar and no matter what (C) two points I pick on the line the slope will be the (A)same.

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Mathematically, the slope is the change in y divided by the change in x. That is:

Slope = y2-y1 / x2-x1

The slope of the line between points A and B:

A (x1 = -5, y1 = -2) and B (x2 = -2, y2 = 0)

Slope = [(0-(-2) )]/ [-2-(-5)] = 2/3

The slope of the line between points B and C:

B (x1 = -2, y1 = 0) and C (x2 = 4, y2 = 4)

Slope = [4-0]/ [4-(-2)] = 4/6 = 2/3

The slope of the line between points A and C:

A (x1 = -5, y1 = -2) and C (x2 = 4, y2 = 4)

Slope = [(4-(-2))]/ [4-(-5)] = 6/9 = 2/3

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Given the problem:

Explain what are the figure below functions or not

The left graph is not a function, the right table is a function. To see if a graph is a function, use the vertical line test. Simply draw vertical lines down the graph, or you don't have to if you can imagine it. None of the vertical lines can pass through any points twice. So in this case, look at (6, 4) and (6, 6). Draw a vertical line down at x=6. It fails the vertical line test because the vertical line passes through the two points.

Next, the table on the right. It is a function. To determine whether a table is a function or not, look at the x values. No x value can duplicate. In this case, all x values are different.

Hope this helped.

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

(i) To calculate the present value of 6 months of rent for the first apartment, we can use the formula PV = FV / (1 + r)^n, where PV is the present value, FV is the future value (6 months of rent, or $900 x 6 = $5400), r is the interest rate (8% converted to a monthly rate, or 0.08/12 = 0.0067), and n is the number of periods (6 months). So, PV = $5400 / (1 + 0.0067)^6 = $4911.46

(ii) To find the range of rent for the new apartment such that Lee would switch, we need to find the monthly rent that would result in a present value equal to or greater than $4911.46. Using the same formula, we can solve for the monthly rent (R) by setting PV equal to $4911.46 and n equal to 6. So, $4911.46 = R*(1+0.0067)^6. Solving for R, we get that the monthly rent must be between $732.32 and $766.58 in order to be more favorable than the first apartment.

We know that the sum of angles of a triangle are 180°

If you don't know how to find the angles of a triangle

We use the formula,

[tex](n-2)X180[/tex]

Where n replicates the sides of a polygon

Applying the sides into the formula we get

[tex](3-2)X180\\1X180\\180[/tex]

Now in order to find x we sum up all the angles into a equation

90°+ 65°+ x - 10° = 180°

145 + x = 180

We then transpose 145 to the Right Hand Side (RHS)

x = 180 - 145

x = 35°

Hence , the value of x is 35°

Answer:

<LJK = 69 degrees

Step-by-step explanation:

Triangle HKL and LJK are congruent, therefore their angles will be as well. Divide HJK by 2; 138 / 2 = 69

Answer:

[tex]r=14\mathring{}[/tex]

Step-by-step explanation:

[tex](5r-5)\mathring{}+(8r+3)\mathring{}=180\mathring{}\\5r-5+8r+3=180\mathring{}\\13r-2=180\mathring{}\\13r=180\mathring{}+2\\13r=182\mathring{}\\r=\frac{182}{13} \\\\r=14\mathring{}[/tex]

The function with the greater rate of change will have the greater output value for every input value which is true.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Let m₁ > m₂ and c₁ > c₂. Then the equations are given as,

y = m₁x + c₁

y = m₂x + c₂

The function with the greater rate of change will have the greater output value for every input value which is true.

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The required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Length = 3 1/6 + width

perimeter of the rectangle = 2[length + width]

15 1/3 = 2 [3 1/6 + width + width]
46/3  × 1/2 =  19/6 + 2 width
23 / 3 - 19 / 6 = 2 width
[46 - 19]/ 12 = width
width = 25/12 cm

Now,
Length = 25/12 + 19/6
Length = 63 / 12 cm

Thus, the required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.

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The measure of the angle MNO is 79 degrees

The midpoint of KM and O is also the midpoint of LM as expressed in the information given.

We have the parameters;

Note that the midpoint of the triangle is expressed as;

m/MKL = m/MNO

Now, substitute the values, we get;

61 + 9x = 2x + 75

collect like terms

9x - 2x = 75 - 61

add or subtract the like terms

7x = 14

Now, divide both sides by the coefficient of x, we get;

7x/7 = 14/7

Divide the values

x = 2

Substitute the value into the expression

m/MNO = 2x + 75

m/MNO = 2(2) + 75

expand the bracket

m/MNO = 79

Hence, the value is 79

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The two column proof that shows congruency of ΔACD ≅ ΔBDC is as detailed below.

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

We want to prove that ΔACD ≅ ΔBDC

Statement 1: AD ⊥ DC, BC ⊥ DC, ∠DAC ≅ ∠CBD, AD ≅ BC, BD ≅ AC

Reason: Given

Statement 2: BC ≅ BC

Reason 2: Reflexive Property of Congruence

Statement 3: ∠DAC ≅ ∠DBC

Reason 3: Corresponding Angles

Statement 4: ∠ACD ≅ ∠BDC

Reason 4: Corresponding Angles

Statement 5: ΔACD ≅ ΔBDC

Reason 5: CPCTC( Corresponding Parts of Congruent Triangles are Congruent.)

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The measure of ∠R of the given parallelogram is 52°.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of a similar measure.

Some of the properties of a parallelogram are,

Given,

Length of  PS = 3

Length of RS = 5

∠Q = 128°

Since it is a parallelogram,

PS = QR = 3 and RS = QP = 5

∠Q + ∠R = 180

m∠R = 180 - ∠Q = 180-128 = 52°

Therefore the measure of ∠R of the given parallelogram is 52°.

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Answer:

12.96

Step-by-step explanation:

13 members are missing today.

You can calculate this by subtracting the percentage of members present (81%) from 100% and then multiplying that number by the total number of team members (16).

100-81 = 19

19/100*16 = 3.04

16-3.04 = 12.96 = 13 (rounded)

Answer:

3 members MISSING

Step-by-step explanation:

0.81 x 16 = ~13

16 - 13 = 3 missing members

The slope of the inequality y > x - 3 is 1

The slope of a line is the ratio of the amount that y increases as x increases some amount

To change the inequality y > x - 3 into slope,

substract x from both sides of the inequality

y- x > x - 3-x

= y-x>-3

= y<-3+x

From the inequality y<-3+x the co-efficient of x is 1

Hence, The slope of the inequality is 1

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Check the picture below.

The least positive integer N such that the set of 1000 consecutive integers beginning with 1000 N is 282.

Let x² appear before 1000N so:

(x+1)² − x² >1000⟹ x ≥ 500

Let A = [1000N, 1000(N+1)]

So I let x=500

then, x²=250000

, obviously this is impossible since the set has a square already.

So now I need to set some number, k² ≥ 5012 = 0 (mod1000)

So I need to solve the quadratic residue:

Lets see: 500²=250000

and 501²=251001

and 502²=252004

501²=500²+1000+ ∑ (12k−1)

502²=500²+2(1000)+∑ (12k−1)

The final answer is: N=282

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043.

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.

Operation sign between two of the digits is 96 ÷ 2 × 5 + 8 × 0 - 7 = 8,818

This question uses the Order of Operations (PEMDAS) theory.

The order of operations states that we should work through equations in the following order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

In this question, the first operation was division (96 ÷ 2), followed by multiplication (48 × 5), then addition (240 + 8), then multiplication (248 × 0), and finally subtraction (0 - 7).

Step 1: 96 ÷ 2 = 48

Step 2: 48 × 5 = 240

Step 3: 240 + 8 = 248

Step 4: 248 × 0 = 0

Step 5: 0 - 7 = -7

Step 6: -7 = 8,818

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Answer: Negative two times z plus eight.

Step-by-step explanation:

The expression $-2z + 8$ represents "negative two times the quantity of z plus 8". To interpret this as a phrase, we can say "8 increased by the negative of two times the quantity of z."

Answer: -8<x> 2

Step-by-step explanation:

open circles indicate that the number shown is not included therefore x must lie in-between -8 and 2

The length of the rectangular pool is 98 m.

The area of Rectangle is length times of width.

Given that the perimeter of a rectangular pool is 368m.

The width of the pool is 86m

We need to find the length of the pool.

Perimeter of rectangle=2(Length+width)

368=2(Length+86)

368=2Length+172

368-172=2length

196=2length

Divide both sides by 2

98=length

Hence, the length of the rectangular pool is 98 m.

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Answer:

To find out how many of the first 76 slices sold during lunch tomorrow should be pepperoni pizza, we can use the information provided about the proportion of pepperoni pizza slices sold today. We can use the following formula to calculate the expected proportion:

(number of pepperoni slices / total number of slices) * 100

Plugging in the numbers we have:

(44 / (44 + 15 + 29)) * 100 = 44 / 88 * 100 = 50%.

So we can expect 50% of the first 76 slices sold during lunch tomorrow to be pepperoni pizza slices, which is equivalent to:

76 slices * 50% = 38 slices

Therefore, we expect 38 of the first 76 slices sold during lunch tomorrow should be slices of pepperoni pizza.

Step-by-step explanation:

Answer:

~$76.99

Step-by-step explanation:

Right now, ~¥129.89 is equivalent to $1.  Your dinner costs ¥10,000. To solve, divide the total cost of your dinner with the equivalent yen price compared to the dollar:

(¥10,000)/(¥129.89) = ~76.99 (rounded to the nearest cent).

~$76.99 would be your answer.

~

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The productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.

In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers. The depiction of fractions appears easier than when decimal values are used.

For carpenter, the total hours contributed are:

(2)(8) = 16 hours

No of das worked by carpenter are 2 days.

The total hours contributed by 2 carpenters are:

16 (2) = 32 hours

The production rate of carpenter is = hours / total work

= 32/ 515 = 0.062 hour / feet.

Hence, the productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.

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Answer: she will save 40$

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