Statistics question:
You are designing a new AI system which is aimed at measuring workplace performance. However, you are concerned that this system will discriminate on the basis of disability. Explain how you will evaluate this system, including your data collection strategy and procedure for data analysis, including statistical testing.

Answer:

33.833 yards

Step-by-step explanation:

3 yards= 3*3 = 9 feet + 5 feet= 14 feet

14 feet= 14*12 = 168 inches

168 inches+6 inches = 174

174 * 7 =1218 inches or 101.5 feet or 33.833 yards

The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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Answer:

The x-intercept is x = 0.

The local maximum is (-0.38, -0.46).

The local minimum is (0.38, -0.46).

The function is increasing when x < -0.38 and x > 0.38.

The function is increasing when -0.38 < x < 0.38.

Step-by-step explanation:

To find the x-intercepts, we can set the function equal to 0 and solve for x. This gives us the equations:

0.5x^3 - 2x + 2.5 = 0

To find the points where the function has local maximums and minimums, we can take the derivative of the function and set it equal to 0. This gives us the equation:

1.5x^2 - 2 = 0

To find the intervals where the function is increasing or decreasing, we can take the derivative of the function and determine the sign of the derivative. A positive derivative indicates that the function is increasing, while a negative derivative indicates that the function is decreasing.

Based on the information above, we can fill in the blank answers as follows:

The x-intercept is x = 0.

The local maximum is (-0.38, -0.46).

The local minimum is (0.38, -0.46).

The function is increasing when x < -0.38 and x > 0.38.

The function is increasing when -0.38 < x < 0.38.

If Jacqueline bought a bicycle at wholesale cost for $210 dollars. If the bicycle is normally $300 from the local bike shop, Then 30% markup the bike shop adds to the wholesale cost

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Jacqueline bought a bicycle at wholesale cost for $210 dollars.

The actual price of bicycle is normally $300 from the local bike shop.

We need to find the percent markup the bike shop adds to the wholesale cost.

For this we need to find the difference and we have to divide it by actual price

300-210/300=90/300=0.3

Now multiply 0.3 with 100 as hundredths to get the percentage value

0.3×100=30

Hence 30 percent markup the bike shop adds to the wholesale cost

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The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

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Answer:

3+4+5+11= 56

Step-by-step explanation:

Answer:

B. (-3,0) and (3,0)

Step-by-step explanation:

The curved line crosses through both of these points, and these points are the only ones out of all the choices, to line up perfectly. Remember that ordered pairs (x,y) represent the x and y values.

I really tried to explain this to you, so let me know if this helped :)

The solution of the system of equations graphed are (4,8) and (0, -8)

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations.

Given that is a graph of system of equations, we need to find the solution,

We know that the common solutions are the intersecting points of the equations.

So, here the curve and the line are intersecting at (4,8) and (0, -8)

Hence, the solution of the system of equations graphed are (4,8) and (0, -8)

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Answer:

Step-by-step explanation:

each dot in the following dot plot represents the number of players at one table in bev's bingo hall. a dot plot has a horizontal axis labeled number of players marked by 8 equidistant tick marks numbered from 0 to 7. dots are plotted above the following: 0, 1; 1, 2; 3, 3; 4, 1; 5, 1; 7, 1. a dot plot has a horizontal axis labeled number of players marked by 8 equidistant tick marks numbered from 0 to 7. dots are plotted above the following: 0, 1; 1, 2; 3, 3; 4, 1; 5, 1; 7, 1. find the interquartile range (iqr) of the data in the dot plot. players

The interquartile range (IQR) of the data in the dot plot is 3.5 players.

To find the interquartile range (IQR) of the data in the dot plot, we need to determine the values of the first quartile (Q1) and the third quartile (Q3).

The quartiles divide a dataset into four equal parts, where Q1 represents the 25th percentile and Q3 represents the 75th percentile.

Given the data points from the dot plot:

0, 1; 1, 2; 3, 3; 4, 1; 5, 1; 7, 1

First, arrange the data in ascending order:

0, 1, 1, 1, 3, 4, 5, 7

Next, find the median (Q2), which is the middle value of the data:

Median (Q2) = (3 + 4) / 2 = 3.5

Since there are 8 data points, we can calculate the position of Q1 and Q3 as follows:

Q1 position = (1/4) * (8 + 1) = 2.25

Q3 position = (3/4) * (8 + 1) = 6.75

Q1 is between the 2nd and 3rd data points: Q1 ≈ (1 + 1) / 2 = 1

Q3 is between the 6th and 7th data points: Q3 ≈ (4 + 5) / 2 = 4.5

Finally, calculate the IQR:

IQR = Q3 - Q1 = 4.5 - 1 = 3.5

So, the interquartile range (IQR) of the data in the dot plot is 3.5 players.

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The histogram that represents a set of data that is left-skewed is the one where the majority of the data is on the right side of the histogram, and the tail of the histogram extends to the left.

A left-skewed histogram is also called a negatively skewed histogram. In a left-skewed distribution, the majority of the data values are on the right side of the histogram, and the tail of the histogram extends to the left. This means that the data is clustered around higher values and gradually decreases as the values become smaller.

For example, imagine a dataset that represents the ages of a group of people. If most of the people in the group are young adults, but there are a few older individuals, the histogram would be left-skewed because the tail of the histogram (representing the older individuals) would extend to the left.

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Answer:

96 omelettes

Step-by-step explanation:

The cafe specialises in making omelettes for breakfast. They have a total of 32 dozen eggs. If

each omelette uses 4 eggs, how many omelettes can be made?96 omelettes

Answer:

Slope AC is 4

Slope EG is 2

It isn't a dilatation because corresponding sides are not parallel.

A: For the Dentist, their average income in 30 years is $4,282,200

B: For the Manager, their average income in 30 years is $2,592,000

C: The difference in both their earnings is $1,690,200

Work: So, I just multiplied their average earnings by 30, and that's what their average income will be in 30 years. For the difference, I subtracted the higher earning by the lower earning, and that's the difference.

I hope this helps you. :)

Answer:

846 in

Step-by-step explanation:

48*15+21*6

720+126=846

Answer:

846 square inches.

Step-by-step explanation:

All you have to do is find the area of the net for the seat back.

Bottom and Top

L = 21 + 3 + 21 + 3   = 48

W = 15

Area

Area = L * w

Area = 48 * 15

Area =                                                       720

Area of the 2 sides .

L = 21

w = 3

Area =2 * L * w    There are 2 of them

Area = 21*3 * 2                                         126

Total                                                         846  

Regardless of the block's dimensions, there are 6.90 x 10²² atoms of lead-206 present in it.

We can calculate the number of lead-206 atoms present in the block. We can assume that the block's mass is 100 grams.

To begin, we need to know the atomic mass of lead-206. It is 206 grams/mole.

1 mole of lead-206 contains 6.022 x 10²³ atoms.

We can use these numbers to calculate the number of atoms present in the block as follows:

Number of moles of lead-206 present = (23.6/100) x (100/206) = 0.1146 moles

Number of atoms of lead-206 present = 0.1146 x 6.022 x 10²³ = 6.90 x 10²² atoms

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Given:

Center of dilation: (0, 0)

Scale factor = 9

Let's find the image of point L(-8, 0) after the dilation with the given scale factor.

To find the image of a point after dilation, multiply the coordinates of point by the scale factor of dilation.

We have:

L(-8, 0) ==> (-8 x 9, 0 x 9) ==> L'(-72, 0)

Therefore, the image of the point after a dilation with a scale factor of 9 is:

(-72, 0)

ANSWER:

(-72, 0)

Answer:

a). k = 0.75

b). y = 0.75x

Step-by-step explanation:

a). Graph is showing the relation between number of pages (P) illustrated by Indira and number of days taken (D).

   P ∝ D

   P = kD

   Where 'k' is the proportionality constant.

   k = \(\frac{P}{D}\)

  From the graph attached,

  For a point with ordered pair (2, 1.5),

  k = \(\frac{1.5}{2}\)

  k = 0.75

b). Equation representing the relation between number of pages and number of days will be,

  P = 0.75D

  y = 0.75x

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

your answer is a = + √105 .

Answer:

Total number of books borrowed= 16

Step-by-step explanation:

Giving the following information:

Number of non-fictions books= 4

Percentage of books borrowed= 25% = 0.25

To calculate the total number of books borrowed, we need to use the following formula:

Total number of books borrowed= 4 / 0.25

Total number of books borrowed= 16

Answer:

k = -8

Step-by-step explanation:

Given both functions, y = k - x² and y = - 6x + 1. A line tangent to the graph means that the line has one common point with the curve. Therefore, the steps to solve this problem are:

\( \displaystyle{k - {x}^{2} = - 6x + 1}\)

Arrange in quadratic terms:

\( \displaystyle{ {x}^{2} - 6x + 1 - k = 0}\)

Apply discriminant where b = -6, a = 1 and c = 1-k:

\( \displaystyle{ {b}^{2} - 4ac = 0} \\ \\ \displaystyle{ {6}^{2} - 4(1)(1 - k) = 0} \\ \\ \displaystyle{ 36 - 4(1 - k)= 0} \\ \\ \displaystyle{ 36 - 4 + 4k = 0} \\ \\ \displaystyle{ 32 + 4k = 0} \\ \\ \displaystyle{4k = - 32} \\ \\ \displaystyle{k = - 8}\)

Therefore the value of k that makes line tangent to the curve is -8.

The unit rate of the fraction 2/3 will be 0.67 (approx.).

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following fraction -

2/3

Assume the fraction to be m = 2/3. So, we can write -

2 = 3m

We can write it as -

y = mx      ....Eq[1]

for [y] = 2

[x] = 3

We have to find the slope of the straight line represented by equation [1] for x = 3 and y = 2. We can proceed -

2 = 3m

m = 2/3

m = 0.67 (approx.)

Therefore, the unit rate of the fraction 2/3 will be 0.67 (approx.).

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Answer:

22

Step-by-step explanation:

4x+28=116

you solve like an algebraic equation

If x = 22, then line a will be parallel to line b.

What are corresponding angles?

Corresponding angles are the angles that are formed when two parallel lines are intersected by the another line, called transversal. The angles created in matching corners at each intersection are the corresponding angles. Corresponding angles formed by two parallel lines are always equal.

Line a will be parallel to line b if corresponding angles will be equal.

∠ (4x + 28) = ∠116

4x + 28 = 116

4x = 116-28

4x = 88

x = 22

Hence, if x = 22 then line a will be parallel to line b.

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First, divide the money that Miguel made (264) by the number of hours worked (12)

264/12 = $22 per hour

For 7 hours:

22 x 7 = $154

The model tower would need to be 80 inches tall for the actual water tower to hold a volume of 80,000 gallons of water.

To determine the height of the model tower required for the actual water tower to hold a volume of 80,000 gallons of water, we can use the given conversion factors:

1 inch of height on the model tower = 1 meter on the actual water tower

1 teaspoon of water on the model tower = 1,000 gallons of water in the actual water tower

First, we need to convert the volume of 80,000 gallons to teaspoons. Since 1 teaspoon is equal to 1,000 gallons, we can divide 80,000 by 1,000:

80,000 gallons = 80,000 / 1,000 = 80 teaspoons

Now, we know that the model tower holds 1 teaspoon of water per inch of height. Therefore, to find the height of the model tower, we can set up the following equation:

Height of model tower (in inches) = Volume of water (in teaspoons)

Height of model tower = 80 teaspoons

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In the given scenario, where an odd number of people (at least 3) are standing in a flat plane with different distances between them and they shoot water pistols at the person closest to them, not everyone will get wet.

To understand why, consider the scenario with the minimum number of people: 3. If person A is closest to person B, and person B is closest to person C, then person C must be closest to person A. In this case, everyone gets wet. However, if we have 5 people, we can arrange them such that person A is closest to B, B is closest to C, C is closest to D, D is closest to E, and E is closest to A. In this case, B, C, and D get wet, but A and E do not. Thus, it is possible for not everyone to get wet in this situation.

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The price of the computer if the discount is applied before the rebate is $1225. The composite function is (g.f)(x) = g(f(x))

(g.f)(x) = g(f(x))

f(1500) = 0.95(1500)

= 1425

g(1425) = 1425-20

= 1225

= $1225

Therefore, The price of the computer if the discount is applied before the rebate is $1225. The composite function is (g.f)(x) = g(f(x))

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The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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Answer:

1 9/10

Step-by-step explanation:

First, convert all the fractions with 5 to 10's.

2/5 would be 4/10, and 3/5 would be 6/10.

9/10 + 4/10 + 6/10 = 19/10

19/10 = 1 9/10

Answer: Number selected;  26

% score = 86.67%

Grade is a B

Step-by-step explanation:

Assuming a person selects a number from 21-29

Number seleted; 26

Say that person A gets 26/30 on his test

SN= selected number , 26

SN/Total score x 100%

26/30 x 100%

= 0.8667 x 100%

% score is 86.67%