16. Higher Order Thinking The box plots show the average daily high temperatures
of two cities from January to December. Which city should you live in if you want
a greater variability in temperature? Explain.

The percent tax you paid when you bought the bike is approximately 8.493%.

What is percentage ?

Percentage can be defined as the product of ratio of given value, total value and hundred.

given ,

You paid $29.75 in tax when you bought a $350 bike

To find the percent tax, we can divide the amount of tax by the total cost (including tax) and multiply by 100 to express the result as a percentage.

tax = 29.75

total = 350

percent tax = (tax / total) * 100

So the percent tax would be

percent tax = (29.75 / 350) * 100

= 8.493%

Therefore, The percent tax you paid when you bought the bike is approximately 8.493%.

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Note that the Economic Order Quantity is given as approximately 4,472.13 Units.

Economic Order Quantity, also known as Economic Purchasing Quantity, is the order quantity in inventory management that minimizes overall holding costs and ordering expenses. It is one of the most ancient traditional production scheduling models.

EOQ = √[(2 * AR* OC)/CC]

Were AR = Annual Requirement = 100,000 units

OC = Ordering Cost = Rs 20 per unit

CC = Carrying Cost = 10% of Per Unit Cost
Per Unit Cost  = Rs. 2

Thus,

EOQ = √[(2 * 100,000* 20)/10% * 2]

EOQ =  √[(4000000)/0.2]

EOQ = √20000000
EOQ = 4472.135955

EOQ [tex]\approx[/tex] 4,472.13 Units.

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Total number of marbles is 5 + 7 + 29 = 41.

The given parameters are

2 gold marbles,

7 silver marbles,

and 29 black marbles

Also you win $4, if it is silver, you win $2. If it costs $1 to play

Event   P(Event)  Net Winnings   P(Event) * Net Winnings

Gold     5/41          4 - 1 = 3          15/41

Silver    7/41         2 - 1 = 1           7/41

Black    29/41        -1                   -29/41

sum     -7/41 = $0.17 loss

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Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

The inequality which describes the problem about the pot of stew Finn made is x/6 > 2.5

Number of bowls= 6

Quantity of stew in each bowl > 2.5

Quantity of stew Finn made = x

The inequality

Quantity of stew Finn made / Number of bowls > Quantity of stew in each bowl

x/6 > 2.5

Therefore, x divided by 6 greater than 2.5 is the inequality which describes the situation.

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The value of sin(tetha/2) is ±√½(1-8/√113)

In trigonometry, the half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. If θ is an angle, then the half angle is represented by θ/2.

if tan(tetha) = 7/8

this means that 7 is the opposite and 8 is the adjacent

hyp² = opp² +adj²

hyp² = 49+64

hyp = √113

sin(tetha/2) = ±√1-cos(tetha))/2

= ±√1-(8/√113))/2

therefore the value is sin(tetha)/2

= ±√1-(8/√113))/2 or ±√½(1-8/√113)

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Answer:

[tex]-13[/tex]

Step-by-step explanation:

The common difference of the arithmetic sequence is [tex]-13[/tex].

On solving the provided question we can say that 2 decimal places =29.92 miles per hour

Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. A decimal point separates the complete number and the fractional portion of a decimal number. The dot between the whole number and the fractions is known as the decimal point. A decimal number is, for instance, 25.5. In this instance, 25 is the entire number, while 5 is the

top speed is 26 knots,

1 knot = 1.15078 miles per hour

26 knots = 26 * 1.15078

= 29.92028 miles per hour

2 decimal places

=29.92 miles per hour

boat has a  displacement of 96000 tons

1 ton = 0.907185 metric tonnes

96000 tons = 0.907185 * 96000

= 87,089.76 metric tonnes

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The value of the variable is x = -6/9

A fraction is defined as the part of a whole number.

The different types of fractions are;

We are given the equation:

4/x = -18/3

To make 'x' the subject, cross multiply

-18x = 12

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

x = 12/-18

x = -6/9

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For given ratio of orange juice and pineapple juice i.e. 5/6, proportion used to find the amount of orange juice, j, that is needed to add to 21 L of pineapple juice will be 5 over 6 equals j over 21 i.e. 5/6=j/21.

What exactly is a ratio?

Fractions are commonly used to describe ratios and proportions. A ratio is demonstrated when a fraction is expressed as a:b, whereas a percentage indicates that two ratios are equal. a and b can be any two numbers in this situation. The ratio and proportion are two fundamental ideas that lay the groundwork for comprehending other concepts in mathematics and science.

We use the concept of ratio and proportion in our daily lives, such as in business when dealing with money or in cooking.

As a result, when b is larger than zero, the ratio, such as a:b, defines the relationship between two variables. For example, the 2:4 ratio is expressed as 2:4 = 1:2.

Now,

Given that In recipe ratio of  orange juice / pineapple juice =5/6

then to make a recipe with 21 L of pineapple juice, the orange juice (j)

needed will be

5/6=j/21

j=17.5 L

hence,

           proportion used to find the amount of orange juice, j will be 5 over 6 equals j over 21 i.e. 5/6=j/21.

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Answer: its D

Step-by-step explanation:

pls i belieive most of yall are npcs

Answer:If (x + 1) is a factor of the polynomial p(x), then p(x) can be written as:

p(x) = (x + 1) q(x)

for some polynomial q(x). By substituting x = -1 into this expression, we can find the value of c:

p(-1) = (-1 + 1) q(-1) = 0 q(-1) = 0

So,

0 = 5(-1)^4 + 7(-1)^3 - 2(-1)^2 - 3(-1) + c

= -5 + 7 - 2 + 3 + c

= c = 3

So, the value of c that makes (x + 1) a factor of the polynomial p(x) = 5x^4 + 7x^3 - 2x^2 - 3x + c is c = 3.

Answer:

              In order from least to greatest, the numbers would be organized as such:  [tex]\frac{2}{3}[/tex] , [tex]\sqrt{5}[/tex] , [tex]\frac{5}{2}[/tex] , [tex]\pi[/tex]. So C is the correct answer.

Step-by-step explanation:

              At first glance, these numbers are not the simple whole and decimal numbers one might be used to. However, we can find their approximate values and order them correspondingly. [tex]\frac{2}{3}[/tex] is a fraction that is less than one, so on a number line it would be between 0 and 1, making it the smallest number out of the four. [tex]\sqrt{5}[/tex] and [tex]\frac{5}{2}[/tex] are both between 2 and 3, but [tex]\sqrt{5}[/tex] is approximately equal to 2.24, while [tex]\frac{5}{2}[/tex] is equal to 2.5. Therefore, we can conclude that [tex]\frac{5}{2}[/tex] is greater than [tex]\sqrt{5}[/tex]. Lastly, [tex]\pi[/tex] is a constant number that is the ratio of a circle's circumference to its diameter that equals approximately 3.14, so we can conclude that [tex]\pi[/tex] is the greatest number out of the four.

            Now that we have the four numbers in an easier and visually more clear way to find their exact values, we know that the order of these numbers from least to greatest would be choice C: [tex]\frac{2}{3}[/tex] , [tex]\sqrt{5}[/tex] , [tex]\frac{5}{2}[/tex] , [tex]\pi[/tex] .

Have a great day! Feel free to let me know if you have any more questions :)

Answer: To solve for the length of all sides, we need to set the perimeter equal to the sum of the lengths of the three sides:

30 cm = 3x + 2 + x + 4x - 6

30 cm = 8x + 2

Now we can solve for x:

30 cm = 8x + 2

28 cm = 8x

x = 28/8

x = 3.5

So each of the sides is 3.5 cm long, and the lengths of the three sides are:

3x + 2 = 3 * 3.5 + 2 = 11.5 cm

x = 3.5 cm

4x - 6 = 4 * 3.5 - 6 = 11.5 cm

Therefore, the lengths of the sides are 11.5 cm, 3.5 cm, and 11.5 cm.

Step-by-step explanation:

Answer:

(3x+2+4x-6)2=30

7x-4=30

7x=34

x=34/7

To find the side lengths of the rectangle;

3x+2=116/7. and. 4x-6=94/7

Answer:

20√5x7

Step-by-step explanation:

Answer: undefined

Step-by-step explanation: can’t raise a negative number to a integer exponent

The probability that the average length of a random sample of 40 fish is less than 10 inches is 0.8869 or 88.69%.

What is probability ?

Probability is a metric used to determine how likely an event or result is to occur. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event.

A group of potential possibilities is referred to as an event in probability theory. By dividing the number of positive possibilities by the total number of possible outcomes, the probability of an event happening is determined.

The fish in the hatchery tank are distributed in length according to a normal distribution, with a mean length of 9.7 inches and a standard deviation of 1.2 inches.

With a mean that is equal to the population mean and a standard deviation that is equal to the population standard deviation divided by the square root of the sample size, the distribution of the sample means will also follow a normal distribution.

The formula to calculate the z-score for the sample mean is:

z = (x - μ) / (σ /[tex]\sqrt{n}[/tex] )

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, we want to find the probability that the sample mean is less than 10 inches. So we need to calculate the z-score for a sample mean of 10 inches:

z = (10 - 9.7) / (1.2 /[tex]\sqrt{40}[/tex]) = 1.21

Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score less than 1.21 is approximately 0.8869. This means that there is an 88.69% chance of getting a sample mean less than 10 inches.

Therefore, the probability that the average length of a random sample of 40 fish is less than 10 inches is 0.8869 or 88.69%.

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A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that meet at a common point. The height of a pyramid is the perpendicular distance from the base to the apex.

A cube is a three-dimensional shape that has six square faces of equal size. All angles of a cube are right angles, and all edges have the same length. The volume of a cube is given by the formula V = s³ where s is the length of one edge.

A rectangular prism is a three-dimensional shape that has six rectangular faces. The opposite faces are congruent and parallel, and all angles are right angles. The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the lengths of the three perpendicular edges.

A sphere is a three-dimensional shape that is perfectly round and has no edges or corners. It is defined as the set of all points in three-dimensional space that are equidistant from a given point called the center. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

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Answer:a=-2

b=5

Step-by-step explanation:

[tex]\frac{a}{b} =\frac{\frac{-1}{4} }{\frac{5}{8} } \\\frac{a}{b} =\frac{-1}{4}*\frac{8}{5}\\\frac{a}{b}=-2/5[/tex]

The number of guests that shared one platter is 10.

A. Since 3 people bring a total of 4 platters each, there are a total of 3 x 4 = 12 platters.

If the 120 guests share the platters equally, then each platter is shared by 120/12 = 10 guests. Therefore, 10 guests share 1 platter.

B. Landon's reasoning is incorrect.

While it is true that 3 people bring 4 platters each, the total number of platters is 3 x 4 = 12, not 7.

Therefore, 7 guests cannot be the correct answer. The correct answer is 10 guests share 1 platter, as explained in part A.

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Three people each bring 4 platters of food to a family reunion. The 120 guests all share the platters equally. A. How many guests share 1 platter? Explain your answer. 3.AR.1.2 B. Landon thinks that the answer is 7 guests. He says, " 3+4=7, and 7 rounds to 10 . Then 10×12=120." Do you agree with his reasoning

Answer:

2. 56°

4. 56°

For number 6, it is not shown on the photo, sorry!

Step-by-step explanation:

2. The square at the corner means that it is 90°, so 90 - 34 = 56

4. The line is straight, so it means that it is 180°, so 180 - 124 = 56

The pattern does not have a consistency to get the differences

The method of successive differences involves finding the difference between each consecutive term in a sequence, and then using those differences to find the next term.

Here's how the method would work for the sequence given:

7; 35; 173; 771; 2529; 6667; 15,095

Difference between terms:

28; 138; 598; 1758; 4138; 8428

Second difference between terms:

110; 460; 1160; 2380; 4290

Third difference between terms:

350; 700; 1220; 1910

Fourth difference between terms:

350; 520; 690

There is no consistency between the patterns.

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In response to the above question, we may state that in the rectangle [tex]4,241,455[/tex] gallons [tex]= 4,570,000[/tex] Cubic feet[tex]x 7.48052[/tex] Gallons/cubic foot.

In the geometry of the Euclidean plane, a rectangle is a quadrilateral having four right angles. You may also refer to it as an equiangular quadrilateral, meaning that all of its angles are equal. A straight angle could also be present in the parallelogram.

Rectangles with four evenly sized sides are called squares. Four 90-degree vertices and equal parallel sides make up a quadrilateral with the shape of a rectangle.

As a result, it's also known as an equirectangular rectangle. A rectangle is also referred to as a parallelogram, since its opposite sides are parallel and equal.

Volume of rectangular solid is L × W × H

[tex]50 × 30 × 20 = 30000[/tex] cubic yards

[tex]50 × 30 × 6 = 9000[/tex]cubic yards

[tex]30000–9000 = 21000[/tex]cubic yards

This needs to be converted to gallons of water. We are given the conversion factor between a gallon of water and cubic feet, therefore even though we have cubic yards rather than cubic feet, we must first convert the [tex]21,000[/tex] Cubic yards to cubic feet.

A cubic yard has a volume of 27 cubic feet.27 cubic feet per cubic yard times [tex]21,000[/tex]cubic yards equals 567,000 cubic feet.

7.48052 gallons make up 1 cubic foot.

Therefore, 4,241,455 gallons are equal to 567000 cubic feet times 7.48052 gallons/cubic foot.

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The length of each piece is 10 in and 8 in.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total length of the string = 18 in

One piece = x + 2

Another piece = x

Now,

Solve for x.

x + 2 + x = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

x = 8

Now,

One piece = 8 + 2 = 10 in

Another piece = 8 in

Thus,

The length of each piece is 10 in and 8 in.

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The solution is, the value of  (f• Hºg)(x) = 4x+2.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

f(x) = x-4

g(x) = x+ 2,

and h(x) = 4x+1

now, (f• Hºg)(x)

= (f•(4(x+2)+1)(x)

=((4x+6)-4)

=4x+2

Hence, The solution is, the value of  (f• Hºg)(x) = 4x+2.

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There are 29% of the Planes are Green.

The percentage is defined as a ratio expressed as a fraction of 100.

Total number of green planes = 250

The total number of green vehicles = 870

The percent of green planes = (number of green planes/number of total green vehicles) x 100

The percent of green planes = (250/870) x 100

The percent of green planes = 0.2873 x 100

The percent of green planes = 28.73

Round to the nearest percent, and we get

The percent of green planes = 29%

Thus, 29% of Planes are Green.

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a) The function that represents this situation is,

⇒ y = 35 (1 - 12.9%)ⁿ

Where, 'n' is number of years and 'y' is mass of element.

b) For 4 years, the mass of the element is, 19.95 milligrams

c) No, the mass of the radioactive element will never be 0 milligrams.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The function that represents this situation is,

⇒ y = 35 (1 - 12.9%)ⁿ

Where, 'n' is number of years and 'y' is mass of element.

Now, For 4 years, the mass of the element is,

⇒ y = 35 (1 - 12.9%)ⁿ

⇒ y = 35 (1 - 12.9%)⁴

⇒ y = 35 (1 - 0.129)⁴

⇒ y = 35 (0.87)⁴

⇒ y = 35 × 0.57

⇒ y = 19.95 milligrams

No, the mass of the radioactive element will never be 0 milligrams.

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The number of gallons of fruit drink is 118 gallons and the number of gallons of soda is 150 gallons.

The system of equations that represents the question is:

f + s = 168 equation 1

2.41f + 1.57s = (1.66 x 168)

2.41f + 1.57s = 278.88 equation 2

Where:

The elimination method would be used to determine the required values

Multiply equation 1 by 2.41

2.41f + 2.41s = 404.88 equation 3

Subtract equation 2 from equation 3

126 = 0.84s

s = 126 / 0.84

s = 150

Substitute for s in equation 1

f + 150 = 168

f = 168 - 150

f - 118 gallons

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Answer:

BEF

An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.

There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).

Looking at the following answers provided, we can see that BEF is a proper angle, because it is made up of two rays in the proper order.

KGH on the other hand, is not. KGH would be a proper angle if it was in the correct order (GHK or KHG), but because it is not in the right order, it is not a proper angle. LEA is not a proper angle either. We know that an angle is made up of two rays, but LEA isn't, and it's the same with ADE.

Answer:

BEF and ADE

Step-by-step explanation:

These points when connected make and angle. The others do not as they sinply dont make sense or have the points in a way that makes the whole statement false.