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When calculating the population standard deviation, the sum of the squared deviation is divided by N and then the square root of the result is taken.

When calculating the sample standard deviation, the sum of the squared deviations is divided by n - 1 and then the square root of the result is taken.

The sum of the squared deviation is often divided by N, the population's data entry count, for calculating any population standard deviation. After that, the result's square root would be calculated.

The total of the squared deviations is typically divided by n – 1, where n is the number of entries in the sample data set, when calculating the sample standard deviation, on the other hand. After that, the result's square root would be calculated.

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Answer:

A

Step-by-step explanation:

The correct input-output table for the function f(z) = 4 is option A:

Input (x) | Output f(x)

-3 | 4

-2 | 4

1 | 4

2 | 4

3 | 4

Answer: A

Step-by-step explanation:

Three pounds of strawberries is equal to 3 x 16 = 48 ounces of strawberries.

So, the price per ounce of strawberries is $7.20 / 48 ounces = $0.15 per ounce.

Answer: the reasonable answer for this expression would be 2x-4

Explanation: please give brainliest.

A path between two classrooms that takes no longer than 15 minutes and maximizes the amount of shade cover.

This problem can be solved using a Shortest Path Algorithm, which is a type of algorithm that finds the shortest path between two nodes in a graph. To solve this problem, reasonable assumptions to make include: the walking speed is constant, the walking path is a straight line, and the amount of shade cover is quantifiable.

The algorithm can be modeled using a weighted graph, where the nodes are the university classrooms, and the edges are the paths between them. The weights of the edges represent the length of the path in terms of time, and the amount of shade cover. The algorithm will then search through the graph, finding a path between the two nodes that optimizes the amount of shade cover while still maintaining a total path length of no more than 15 minutes.

The algorithm can then be implemented using two loops. The outer loop will iterate through each of the nodes and the inner loop will iterate through each of the edges connecting the nodes. For each iteration, the algorithm will check if the total path length is less than 15 minutes and if the amount of shade cover is greater than the current best path. If both conditions are met, the algorithm will save the path as the best path and update the current best path length and shade cover

By using this algorithm, we can find a path between two classrooms that takes no longer than 15 minutes and maximizes the amount of shade cover.

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Answer:

Step-by-step explanation:

The registration fee for a used car is 0.59% of the car's cost. To find the registration fee for a specific car, you would multiply the cost of the car by 0.0059 (0.59% as a decimal). For example, if the cost of the used car is $10,000, the registration fee would be:

$10,000 * 0.0059 = $59

So the registration fee for a used car costing $10,000 would be $59.

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The incorrect option regarding number of Pizza and number of people served is  "The ratio of people served to pizzas is 1:4". So Option D is right

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A table

Number of pizza        Number of People served

3                                            12

4                                            16

7                                            28

9                                            36

Now, Lets calculate how many people can served by 1 pizza,

Number of people can be served by 1 Pizza

       =  Number of People served/Number of pizza

Number of people can be served by 1 Pizza  = 12/3

                                                                           = 4

Similarly, In each case 1 pizza is divided into 4 people

Now, given options,

A. Ratio of number of pizza to people served is 1:4

It is correct

B.  If there were 14 pizzas, then there would be 56  people served.

It is also correct

C.  If there were 48 people served, then there would be 12 pizzas.

It is also correct

D. The ratio of people served to pizzas is 1:4.

It is not correct, because ratio should be 4:1

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The complete question is,

7. The table below shows the number of pizzas to people served. Based on the the table, which of the following statements is not correct?'

A.  The ratio of number of pizzas to people served is 1:4 .

B. If there were 14 pizzas, then there would be 56  people served.

C. If there were 48 people served, then there would be 12 pizzas.

D. The ratio of people served to pizzas is 1:4.

Answer:

Step-by-step explanation:

1. If A, then B: True. 2. If B, then A: False. 3. A if and only if B: True.  A and B must both be true for the third statement to be true.

In this scenario, we are presented with a pair of statements A and B. For each pair, we must determine if the following three sentences are true or false: 1. If A, then B. 2. If B, then A. 3. A if and only if B. The first statement is true if statement A is true and statement B is true. The second statement is false if statement A is true and statement B is false. The third statement is true if both statements A and B are true. To determine this, we must consider both statements A and B to see if they are both true or false. If both are true, then statement 3 is also true. If either statement A or B is false, then statement 3 is false. Therefore, if both statements A and B are true, then the third statement is true, otherwise, it is false.

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The vertices of the triangle DEF after rotating 90° Counter-clockwise about (5, 2) are:

D' = (-4, -5)

E' = (-3, -2)

F' = (1, -4)

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle DEF with vertices:

D = (0,6)

E = (3,5)

F = (1,1)

Now,

90° Counter-clockwise rotation formula.

(x, y) → (-y, x)

Now,

Rotating 90° Counter-clockwise about (5, 2).

Step 1:

Subtract 5 and 2 with their respective coordinates.

D' = (0 - 5, 6 - 2) = (-5, 4)

E' = (3 - 5, 5 - 2) = (-2, 3)

F' = (1 - 5, 1 - 2) = (-4, -1)

Step 2:

Apply (x, y) → (-y, x) on D'E'F'.

D' = (-5, 4) = (-4, -5)

E' = (-2, 3) = (-3, -2)

F' = (-4, -1) = (1, -4)

Thus,

D' = (-4, -5)

E' = (-3, -2)

F' = (1, -4)

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The complete question image is added.

if f(x) = (x-2)² and g(x) = (x-2)² -7, to get g, we shift f to the down

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The general formula of transformations is given as f(x) = a(bx − h)n + k.

Where h is the horizontal change and k is the vertical change

therefore if f(x) = (x-2)² and g(x) = (x-2)² -7,

k = -7

therefore to get f(x) we shift g(x) down

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The two compounds containing the generic elements X and Y with 1.00 g samples containing 0.28 g of X and 0.37 g of X can be represented as X2Y4 and X3Y2 respectively.

Generic elements refer to the elements that make up a compound. They are represented by symbols, such as X and Y, and can be used to describe the various combinations of elements that form a compound.

For example, if a compound contains two elements, X and Y, it can be expressed as XY. This means that the compound consists of one atom of X and one atom of Y. By using generic elements, it is easier to describe a compound without having to specify the exact identities of the elements in the compound.

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The measures of the missing angles are:

m∠1 = 123°

m∠2 = 94°

m∠3 = 25°

m∠4 = 25°

m∠5 = 43°

m∠6 = 43°

angles ABD and CBD are similar, so;

m∠1 = 133°

m∠1 + m∠2 + 133° = 360° {sum of angles at a point}

m∠2 = 360° - 266°

m∠2 = 94°

m∠3 = 180° - (22 + 133)°

m∠3 = 180° - 155°

m∠3 = 25°

angles BAD and BCD are similar, so;

m∠4 = 25°

angles m∠5 and m∠6 are base angles of an isosceles so m∠5 = m∠6 and;

m∠5 = (180 - 94)/2

m∠5 = 43°

m∠6 = 43°

Therefore, the measures of the missing angles are: m∠1 = 123°, m∠2 = 94°, m∠3 = 25°, m∠4 = 25°, m∠5 = 43°, and m∠6 = 43°.

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A. Yes, because all of the pairs represent the same ratio.

The method is x values are multiplied by 4 and formed y values.

1x4 = 4

2×4=8

3×4= 12

6x4 =24

y = 4, 8, 12, 24

Basically, the definition of a linear function is a relation that pairs every member in set A with another member in set B. All members in set A must be paired with members in set B. This linear function is also called the Line Equation Straight. As previously stated, functions in the world of mathematics are closely related to their constituent elements, namely in the form of variables, coefficients, and constants.

So, a linear function is a function that forms a graph in a straight line. This linear function is also a function that has the highest rank with a variable equal to one.

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Answer:

130 rows of three triangles.

Step-by-step explanation:

If we want to make a row of three triangles, we need to use 7 stirrers, so each triangle uses 7 stirrers / 3 triangles = 2 stirrers/triangle.

If we have 780 biodegradable stirrers in the box, we could make 780 stirrers / 2 stirrers/triangle = 390 triangles.

So we could make a row of 390 triangles / 3 triangles/row = 130 rows of three triangles.

Answer:

Sn for an arithmetic series can be found using the formula: Sn = (n/2) * (a1 + an). In this case, we have:

a1 = 3, an = 42, n = 14

Sn = (14/2) * (3 + 42) = (14/2) * 45 = 315

Sn for an arithmetic series can be found using the formula: Sn = (n/2) * (a1 + an). In this case, we have:

a1 = -20, an = 148, n = 25

Sn = (25/2) * (-20 + 148) = (25/2) * 64 = 800

Sn for an arithmetic series can be found using the formula: Sn = n/2 * (2a1 + (n-1)d) where d is the common difference. In this case, we have:

a1 = 5, n = 13, d = 1/2

Sn = 13/2 * (2 * 5 + (13 - 1) * 1/2) = 13/2 * (10 + 12/2) = 13/2 * (10 + 6) = 13/2 * 16 = 104

So for the series with the given parameters, Sn = 104.

There are 284 adults who ate pizza.

The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.

Given  A survey of 518 adults,

let  T denote TV, H for out with friends, and P for pizza

and given, n(T ∪ H ∪ P) = 518

n(T) = 175, n(H) = 181

n(P) = to find

TP = 39, TH = 26

FP = 39, n(TPH) = 42

n(TP) = 39 + 42 = 81

n(TH) = 26 + 42 = 68

n(HP) = 39 + 42 = 81

using the formula of triple intersection,

 n(T U H U P) = n(T) + n(H) + n(P) - n(TH)   - n(TP)   - n(HP)   + n(TPH).

518 - 66 = 175 + 181 + n(P) - 81 - 68 - 81 + 42

n(P) = 452 - 168

n(P) = 284

Hence 284 people ate only pizza.

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The two lines represented by the given system of equations are perpendicular.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ ⇒ -1 = -1

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

Note: m represents the slope.

By making y the subject of formula in equation 2, we have the following:

-4x + 2y = -4

2y = 4x - 4

y = 2x - 2

Slope, m = 2.

-1/2 × 2 = -1 (perpendicular).

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Boost your consumption of fibre and liquids. Consider choosing pizza pieces that have extra fruit or vegetables.

By doing this, the fibre content will rise by around 1 gramme each slice. If the eatery serves pizza with a whole grain crust, this would also increase the amount of fibre per slice by around one gramme.

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All the correct statements is,

The function g(x) is translated 4 units left Response area and 2 units up Response area from its square root parent function.

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

We have to given that;

The function is,

⇒ g (x) = √(x + 4) + 2

And, The parent function is,

⇒ f (x) = √x

Now, The parent function is,

⇒ f (x) = √x

After translated 4 units left,

⇒ g (x) = √(x + 4)

And, After translated 2 units up,

⇒ g (x) = √(x + 4) + 2

Thus, All the correct statements is,

The function g(x) is translated 4 units left Response area and 2 units up Response area from its square root parent function.

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a) The relative frequency between A and B = 0.13, b) The relative frequency between A and C is 0.5, c) the relative frequency between B and C is 0.37, d) the rank order is D C B A.

The ratio (fraction or proportion) of the number of times a data value occurs in the set of all outcomes to the total number of outcomes is referred to as the relative frequency.

If we are given the curve of a normal distribution data, then the relative frequency of an endpoint  is equal to the area to the left of that point. Therefore, we can conclude:

a) The relative frequency of scores between A and B is 13% or 0.13

b) C is the mean of the data. Hence, the relative frequency of scores between A and C is 50% or 0.5

c) The relative frequency between scores B and C is  50% - 13% = 37% or 0.37.

d) The order of scores from the highest to the lowest score is: D C B A.

The picture in your question is missing. Most likely it was like on the attached picture.

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The values of the inequalities are: -1, -1/2 (2) -11/3, -11  (3)  10 and 40/3 respectively

Inequality is a mathematical statement in mathematics or logic that two quantities usually separated by a special sign (as <, >, or ≠ respectively meaning "is less than," "is greater than," or "is not equal to") are not equal

1) 2x-y > -1  ........................1

X -3y > - 11  ........................ii

3x+4y < 40

From the set of inequalities, if X > 0 , y >0

In equation 1

1) 2x-y > -1  ........................1

When x>0

2(0)-y>-1

This implies that -y>-1

Therefore y <1

When y >0

2x-0>-1

x>-1/2

From equation 11

X -3y > - 11

When x>0

0-3y>-11

This means that y<11/3

When y>0

x-0>-11

Therefore x>-11

From equation 3

3x+4y < 40

When x>0

3(0(+4y<40

4y<40

y<10

When y <0

Therefore 3x+0<40

Therefore x<40/3

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Answer:

Step-by-step explanation:

The hanger shows a total weight of 7 units on one side that is balanced with 3 equal, unknown weights and a 1-unit weight on the other. An equation that represents the relationship is . We can remove a weight of 1 unit from each side and the hanger will stay balanced.

The actual distance of [tex]1\frac{1}{2}[/tex] or 3/2 is 4 unit.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

The scale on the map is 3/4 inch = 2.

So, the actual distance of [tex]1\frac{1}{2}[/tex] or 3/2,

= 2 x 2

= 4 unit.

Therefore, the distance is 4 unit.

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The area of the trapezoid is 188.5 inches²

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs.

Given here: A trapezoidal window with top side 12  inches and height 13 inches

And The base of the triangle formed from the height on the right is labeled 2 inches.

Thus the length of the longer side is equal to 13+2+2=17

Hence, The area of the trapezoid is = 1/2 × (12+17)×13

                                                        A= 188.5 inches²

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The number of elements in the set (A' ∩ B)' is given as follows:

5.

The set A' is given by the elements that belong to the universal set U but do not belong to set A, hence the set A' is given as follows:

A' = {3, 6, 7}

The intersection of the sets A' and B is given by the set of elements that belong to both of these sets, which are 3 and 7, hence:

A' ∩ B = {3,7}.

Then the negative of this set is the set of elements that belong to the universal set U but not to set A' ∩ B, hence:

(A' ∩ B)' = {1, 2, 4, 5, 6}.

Which is a set with a cardinality of 5, that is, a set with five elements.

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Suppose that you observe that when the price of cigarettes rises by 10%, the quantity of cigarettes purchased falls by 8.7%. this implies that cigarettes are price inelastic in demand and that the price elasticity of demand is equal to 0.87.

The degree to which use of a product changes in response to changes in its price is known as price elasticity of demand. If a product's price elasticity of demand were extremely low, or even zero, then demand would only barely increase or decrease in reaction to price changes.

If price elasticity of demand for a good were about 1.0, then demand for that good would fall by 1% for every 1% increase in price. For every 10% price increase, demand would decrease by 10%, by 20% for a 20% price increase, by 100% for a 100% price increase, and so on.

Hence, it implies that cigarettes are price inelastic in demand and that the price elasticity of demand is equal to 0.87.

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