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The city that you should live in if you want a greater variability in temperature is city Y.

In order to determine the city that has the greater variability in temperature, the interquartile range has to be determined. The interquartile range is used to measure the variation in a dataset.

The interquartile range is the difference between the third quartile and the first quartile.

interquartile range = third quartile - first quartile

Interquartile range for City X = 50 - 30 = 20

Interquartile range for City Y = 50 - 25 = 25

The interquartile range for city Y is greater than that of city X. This means that city Y has a greater variation in temperature.

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Answer:

30°

Step-by-step explanation:

360 / 12 = 30°

30 X 1 = 30

The requried graph with the x-axis labeled a number of side dishes and the y-axis labeled cost in dollars and a line going from point [0,5.25] through point [3, 9.75]. Option C is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of the given relation in the table, using any two of the ordered pair,
m = 11.25 - 8.25 / 4 - 2
m = 3/2
m = 1.5

Now calculate the slope in each option, the slope of any option matches with m = 1.5 then that will be the required graph, so the slope of the graph mentioned in option C matches with m = 1.5.

Thus, Option C is the required answer.

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Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

The values for the sets are -

A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } and n(A∪B) = 14.

A∩B = { 10 , 12 , 14 , 16 } and n(A∩B) = 4

What is sets?

A set is a precisely defined collection or aggregate of all feasible objects with predetermined qualities that are specified in accordance with a precisely defined rule. Elements of sets are the items used to compare sets.

The set S is - S = { 1 , 2 , 3 , ... , 18 , 19 , 20 }

The set A is - A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 }

The set B is - B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }

A∪B is the set of elements of S that are part of A or B, or both.

A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }

Count the number of elements present in set A∪B.

Therefore, n(A∪B) value is 14.

A∩B is the set of elements of S that are common to A and B.

A∩B = { 10 , 12 , 14 , 16 }

Count the number of elements present in set A∩B.

Therefore, n(A∩B) value is 4.

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The value of X in the right angle triangle that is given above would be = 28.89

The given figure shows a right triangle with a hypotenuse with a length of 48. An indicated angle has a measure of

53∘.

To calculate the missing side the formula;

cos 0 = adj/hyp

where, adj = X

hyp = 48

0 = 53°

cos 53° = X/ 48

Make X the subject of formula;

X = 48 × cos 53°

X = 48 × 0.601815023

X = 28.887121104

X = 28.89 ( to two decimal places)

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a) The linear programming model is 0.45x + 0.58y.

b) An optimal solution is  $32.26.

c) The shadow price for special sauce is $0.10

d) The new solution is $0.22

Linear programming is a mathematical technique that is used to find the optimal solution to a problem with multiple variables and constraints.

a) Develop a linear programming model:

Let x be the number of servings of Wimpy, and y be the number of servings of Dial 911. Then, the objective function to be maximized is:

0.45x + 0.58y

The profit on one serving of Wimpy is $0.45, and on one serving of Dial 911, it is $0.58.

The constraints are:

0.25x + 0.25y ≤ 20 (available beef)

0.25x + 0.4y ≤ 15 (available onions)

0.05x + 0.02y ≤ 88 (available special sauce)

0.05y ≤ 60 (available hot sauce)

x, y ≥ 0 (non-negativity)

b) Find an optimal solution:

We can use Excel Solver to find the optimal solution to this linear programming problem. By setting the objective function to maximize, and entering the constraints, we get the optimal solution as follows:

Number of servings of Wimpy = 52

Number of servings of Dial 911 = 18

Maximum profit = $32.26

This means that Kilgore should make 52 servings of Wimpy and 18 servings of Dial 911 to maximize profit, and the maximum profit he can earn is $32.26.

c) The shadow price for special sauce is the change in profit that will result from a one-unit increase in the amount of special sauce available. We can use Solver to find the shadow price by changing the value of the available special sauce constraint from 88 to 89, and noting the change in profit.

The shadow price for special sauce is $0.10.

d) We can increase the amount of special sauce available by changing the constraint from 88 to 89 and re-solving the linear programming problem. The new optimal solution we get is:

Number of servings of Wimpy = 54

Number of servings of Dial 911 = 15

Maximum profit = $32.48

The new solution confirms the answer to part (c) since the shadow price for special sauce was $0.10, and the profit has increased by $0.22 with an additional ounce of special sauce.

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On first evening she receives 19 calls and on second evening  she receives 11 calls while on 3rd evening she receives 38 calls.

A mathematical equation is a fοrmula that joins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences oοn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbol, fοr instance, 2x – 4 = 2.

X, Y, and Z represents the 1st , 2nd, and 3rd evenings

X + Y + Z = 68

⇒ X = Y + 8

⇒ Z = 2(Y + 8)

⇒ Y + Y + 8 + 2(Y + 8) = 68

Y = 11 calls

And

X = (11)+ 8 = 19 calls

Z = 2((11) + 8) = 38 calls

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Answer:

Multiplied by -5

Step-by-step explanation:

-8 X -5 = 40

40 X -5 = -200

Answer:

The island is 728 feet off the coast.

Step-by-step explanation:

Answer: C) triangles ABC is not similar to  the triangle DEF because angles B and D re not congruent.

Step-by-step explanation:

...as it say...

The values of sec a - cosec a/sec a+cosec a is 4/25.

The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

In a right-angled triangle,

Here we have

tan A = 21/29

As we know Tan θ = Opposite side/Adjacent side  

=> Opposite side = 21

=> Adjacent side = 29

In a right-angle triangle,

=> Hypotenuse² = Opposite side² + Adjacent side²  

=> Hypotenuse² = 21² +29²    

=> Hypotenuse² = 441 + 841    

=> Hypotenuse² = (35.8)²  

Cos a = Adjacent side /Hyopenuse = 29/ 35.8

Sin a = Opposite side/Hypotenuse = 21/35.8

The given expression can be solved as follows

=> [tex]\frac{seca - coseca}{seca+coseca } = \frac{ \frac{1}{cos a}-\frac{1}{sina} }{\frac{1}{cos a }+\frac{1}{sin a} }[/tex]      

=> [tex]\frac{ \frac{sin a - cosa}{cos a sn a} }{\frac{sin a + cos a}{cos a sin a} }[/tex]  

=> [tex]\frac{sin a - cosa}{cos a+ sin a}[/tex]  

=> [tex]\frac{ \frac{21}{35.8} - \frac{29}{35.6} }{\frac{29}{35.8} + \frac{21}{35.8} }[/tex]  

=> [tex]\frac{21- 29}{29+21}[/tex]  

=>  [tex]\frac{8}{50}[/tex]  

=>  [tex]\frac{4}{25}[/tex]  

Therefore,

The values of sec a - cosec a/sec a+cosec a is 4/25.

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Answer: 150 Cubes.

Step-by-step explanation:

Volume of cuboid is l*b*h, Volume of cube is S^3.

= 75*50*40 = 1,50,000 CM, = 0.1m= 10cm^3= 1000

No of cubes in one cuboid= volume of cuboid/volume of cube

1,50,000/1000= 150 cubes.

The probability of Bryson choosing a number greater than 4 is given as follows:

Amount of numbers that are greater than 4 / Total amount of numbers.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the outcomes are given as follows:

The problem is incomplete, hence the procedure to obtain the probability was described.

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Answer:

The answer is likely

Step-by-step explanation:

Answer:

what is that maybe l can be of help to u

Answer:3/a-6

Step-by-step explanation:

Answer:

the answer is 24 sides

explanation

Answer:

$660

Step-by-step explanation:

If she gets $12/ an hour and works for 40 hours, 12*40=480. For every hour over 40, she gets $18/an hour, so if she works for 50 hours, you do 18*10 since she only worked 10 hours over 40. 18*10=180. To get the total amount, you do 480+180, which is 660.

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Answer:

Therefore, Kayla will make $660 for working 50 hours.

Step-by-step explanation:

Let H be the number of hours worked in a week. The total pay can be represented as a piecewise function as follows:

f(H) =

12 * min(H, 40) +

18 * max(0, H - 40) if H >= 0

So, for H = 50 hours worked, we have:

f(50) = 12 * min(50, 40) + 18 * max(0, 50 - 40)

= 12 * 40 + 18 * (50 - 40)

= 480 + 180

= $660

Therefore, Kayla will make $660 for working 50 hours.

Answer:

Step-by-step explanation:

Generally an equation which will be true for all values of x have some statement which can be simplified into another state which will always be true.

So for example: [tex]x+4=x+4[/tex], is kind of a bit obvious to tell it's going to be true for all values as the two expressions have the same exact terms, but we can subtract "x" from both sides leading us to the statement: [tex]4=4[/tex] which is always true.

One important thing to note is you must be cautious at times, for example: [tex]\frac{x-2}{x-2}=\frac{x-2}{x-2}[/tex] may seem to be true for all values, and x-2 over x-2 is the same thing, so it simplifies to one and same thing on the right side: [tex]1=1[/tex] thus the statement should be true for all values right? Not completely, it's true for most values, except for x=2, and this is because 1=1 isn't exactly the same expression. In the original fraction the denominator has an x-2, and if we plug in x=2, we get 2-2 resulting in division by one, which of course isn't definable. So that's just one important thing to note as simplifying expressions may result in expressions that look equal, but are slightly different in a way.

The numerical value of x in the given right triangle is 20.14.

The figure in the image is right-triangle.

To find the value of x, we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Plug in the values and solve for x.

sin( 32° ) = x / 38

x = sin( 32° ) × 38

x = 0.529919 × 38

x = 20.14

Therefore, the value of x is 20.14.

Option C) 20.14 is the correct answer.

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The theoretical mean of the uniform distribution between 0 and 12 is given as follows:

6.

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The bounds for this problem are given as follows:

a = 0 and b = 12.

As each outcome is equally as likely, the mean of the distribution is equals to the mean of the bounds, hence:

(0 + 12)/2 = 6.

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Answer:

y=-2/3x-0.5

Step-by-step explanation:

y=mx+b is the equation for slopes so I used it and all I needed to find was the y-intercept, which is -0.5

C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

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Answer:

x [tex]\geq[/tex] 19.75

Step-by-step explanation:

x ≥ 50 - 30.25

x ≥ 19.75

To get a free meal, he needs to spend 19.75 or more.

The value of x is given as follows:

x = 9.

The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:

S(n) = 180 x (n - 2).

The figure for this problem has four sides, hence the sum of the internal angle measures is given as follows:

S(4) = 180 x (4 x 2)

S(4) = 360º.

Adding the four angle measures and equaling them to 360º, the value of x is obtained as follows:

117 + 93 + 87 + 6x + 9 = 360

306 + 6x = 360

6x = 54

x = 54/6

x = 9.

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Answer:

4 I think

Step-by-step explanation:

4+36=40, 10x4=40

Answer: 12

Step-by-step explanation:

1) Create an equation. Lets call the missing number x. 36 is added to x or 36+x and when 36 is added to x it is 4 times of x or 4x, so our equation is 36+x=4x.

2) Bring the variable to one side by subtracting x on both sides. Our new equation is 36=3x.

36) Get rid off the coefficient 3 by dividing 3 on both sides to get x=12

Answer:

1531 pesos

Step-by-step explanation:

The profit when x=10 is calculated as follows:

P(10) = 10^3 + 5(10^2) + 3(10) + 1 = 1000 + 500 + 30 + 1 = 1531 pesos.

The volume of the triangular prism is 30. 04 cubic yards

The volume of the cylinder is  380.38 cubic km

The formula for calculating the volume of a triangular prism is expressed as;

Volume = 1/2 bhl

Now, substitute the values

Volume = 1/2 × 3.08 × 5.84 × 3. 34

Multiply the values

Volume = 30. 04 cubic yards

The formula for the volume of a cylinder is expressed as;

Volume = πr²h

Radius = 3km

Substitute the values

Volume = 3. 14 × 9 × 13.46

Multiply

Volume = 380.38 cubic km

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