1. The data set represents the number of cars in a town given a speeding ticketeach day for 10 days.2 4 5 5 7 7 8 8 8 121. What is the median? Interpret this value in the situation.*

The first quartile (Q1) is defined as the middle number between the smallest number (minimum) and the median of the data set. The first quartile is the median of the first half of a data set.

First QuartileQ1 =11

The third quartile (Q3) is the middle value between the median and the highest value (maximum) of the data set. The third quartile is the median of the second half of a data set.

Third QuartileQ3 = 24

The interquartile range (IQR), is equal to the difference between 75th and 25th percentiles. IQR = Q3 − Q1

IQR = 13

Ice is colder than water due to its more heat absorbing capacity then water and steam is hotter than water due to high heat transfer rate then water.

What is specific heat capacity ?

In scientific terms, a specific heat capacity is the quantity of heat (J) absorbed by a material every time its temperature goes up 1 K (or 1 °C), given in J/(kg K) or J/(kg °C) per unit mass. formulae for specific heat capacity is given by :

Q = mCΔT

Here the given statement is :

If the temperature of water is between the temperatures of ice and steam, then ice is colder than water and steam is hotter than water.

The above statement is justified below :

The steam exhibit more energy than water at the same temperature that is 100° C. The steam uses the latent heat of vaporization so as to get vaporized and water do not exhibit energy and also, The arrangement of molecules in substances is widely influenced by the state of the matter of the substance. In this way, in solids the molecules have a fix organization and are closely packed due to this, solids have both a defined shape and volume; in liquids the molecules are still close to each other but there is no a defined structure and therefore liquids have a defined volume but not a defined shape; finally, in gases molecules do not follow an orderly arrangement and there is more space between them which makes them not have a define volume or shape.

According to this, we can say that Ice is colder than water due to its more heat absorbing capacity then water and steam is hotter than water due to high heat transfer rate then water.

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The slope-intercept form equation for a line that contains point (0, 5) and has a slope of 5/4 is y = (5/4)x + 5

In this question, we have been given a point (0, 5) and a slope 5/4

We need to write the slope-intercept form equation for a line that contains point (0, 5) and has a slope of 5/4

Using the formula for the point-slope form equation of a line:

(y - y1) = m(x - x1)

y - 5 = (5/4)(x - 0)

y - 5 = (5/4)x

y = (5/4)x + 5

which is slope-intercept form of line.

here slope = 5/4 and y-intercept = 5

Therefore, the slope-intercept form equation for a line that contains point (0, 5) and has a slope of 5/4 is y = (5/4)x + 5

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Answer:

a=1/3, b=-6, c=7

Explanation:

Given the polynomial:

We reorder it to rewrite the polynomial in the form ax²+bx+c:

Next, by comparing:

• a is the coefficient of x²: a=1/3

• b is the coefficient of x: b=-6

• c is the constant: c=7

Given,

The equation of table is

Here,

Hence, the output of the table is F, F, F, and T

Answer:

y = x-13

Step-by-step explanation:

So this question asks for two numbers. Let's call them x and y.

Since we know that x is larger than y, and the difference between them is 13, x must be greater than y by 13. So, x = y + 13
x = y + 13 isn't what the question is asking for though, so we have to isolate y to make one side contain only x and numbers. To do that, subtract both sides by 13 to get:
x - 13 = y

rearrange:

y = x - 13

The following statement "A supply shock is a sudden shortage of a good" is true.

A supply shock is an unexpected incident that abruptly affects the supply of a product or commodity, resulting in an unanticipated change in price. Supply shocks can be negative, resulting in a fall in supply, or positive, resulting in an increase in supply.

Assuming that aggregate demand remains constant, a negative (or unfavorable) supply shock causes a product's price to rise, whereas a positive supply shock causes the price to fall.

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ANSWER:

35 miles

STEP-BY-STEP EXPLANATION:

We can make a proportion, since we know the number of miles per 18 gallons, so for 2 3/10 gallons we can calculate the number of miles proportionally

solving for x:

Therefore you can travel a total of 35 miles.

Based on the conversion rate between kilometers and miles, the data to complete the table is:

For every given mile, there will be 1.61 kilometers. To convert miles to kilometers therefore, you have to multiply the number of miles by the number of kilometers in a mile.

If given 8 miles, the number of kilometers is:

= 8 x 1.61

= 12.88 kilometers

If given 3.1 miles, the number of kilometers is:

= 3.1 x 1.61

= 4.991 kilometers

If given 1.5 kilometers, then the number in miles is:

= 1.5 x 0.62

= 0.93 miles

If given 9 kilometers, then the number in miles is:

= 9 x 0.62

= 5.58 miles

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An object's capacity is expressed in terms of volume.

The container's volume is 56 in3.

The capacity of an object is expressed in terms of volume.

A cup's capacity is said to be 100 ml, for instance, if it can hold 100 ml of water in its brim.

The quantity of space a three-dimensional item takes up can also be referred to as volume.

The figure's volume is equal to Bh.

V = Bh

where

B is the base's region.

h is the figure's height.

h = 4 in

The area of the base B is

B = (4*4) - (1*2) = 14 in

V = 14*4 = 56 inch cube.

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The sum of the length around a square is known as the perimeter thus the possible length of each side of the chicken pen assuming it to be square is 12.5 feet.

Perimeter is the addition of an external measure of sides it will always positive.

A perimeter is a length and has a degree of the unit as one.

Perimeter of square = side + side + side + side

Let's assume the chicken pen to the square in order to find the length of each side.

Now since fencing is fitted around the sides so it will be the same as the perimeter of the square.

Perimeter of square = 4 × side

4 × side = 50

Side = 50/4 = 12.5 feet.

Hence "The sum of the length around a square is known as the perimeter thus the possible length of each side of the chicken pen assuming it to be square is 12.5 feet".

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Let's use the following inequation as an example:

First let's simplify it dividing the inequation by 2:

Now, let's draw a number line, and include the point 3 in it:

We want the values of y that are greater than 3, that is, the numbers to the right of the number 3 in the number line. So we mark the area that corresponds to the values of y that satisfies the inequation:

The number 3 is not part of the answer, because 3 is not greater than 3, so we draw a small empty circle on the number 3. If the number 3 was part of the answer, the circle would be filled.

Answer: -4.5,-3,165,227

Step-by-step explanation:

The value of the expression given as 1045 + (834 − 612) is 1267

The expression is given as

1045+(834−612)

Evaluate the brackets in the above expression

So, we have the following equation

1045 + (834 − 612) = 1045 + 222

Evaluate the sum in the above expression

So, we have the following equation

1045 + (834 − 612) = 1267

The above equation/expression cannot be solved further

So, we make our conclusion

Hence, the solution to the expression is 1045 + (834 − 612) = 1267

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Place the data points in descending order of size to find the center number. The median is as shown. The median is the average of the two numbers if there are two of them. The number that appears the most frequently in a piece of data is the mode.

The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode. Organize the numbers in a set in whatever order—from lowest to highest or highest to lowest—and then tally the frequency with which each number appears in the group. The mode is the one that shows up most frequency

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Given the expression:

a - 5 - b

we want to evaluate it when a = 10 and b = 4. To do it, we have to replace these values into the equation as follows:

10 - 5 - 4 = 1

Answer:

x < -17

Step-by-step explanation:

-3x - 39 > 12  Add 39 to both sides

-3x > 51  Divide by -3 and flip the inequality sign

x<-17

Answer: x < -17

Step-by-step explanation: add 39 to both sides then divide 3 on 3x and 51 That is how you answer it. flip the sign to a positive

The number of cups needed by the chef is 9 1/3 cups.

A fraction simply means a part of a whole number.

In this case, the recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe by a factor of 4.

The cups needed will be:

= 2 1/3 × 4

= 7/3 × 4

= 28/3

= 9 1/3 cups.

This illustrates the concept of fractions.

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The angle of elevation reduces. The distance between points A and B is roughly 1,269.9 ft.

The distance between point A and the lighthouse is 968 feet.

The angle of elevation from point A to the lighthouse is 7 degrees.

Elevation angle from point B to the lighthouse = 3°

The distance between points A and B.

tan 7° = Height of the sea /  968 feet

tan(7°) 968 feet 118.86 feet = height to the lighthouse

We have from point B;

tan 3° = 118.86 / Horizontal distance from B to HL

Therefore;

Horizontal distance from LH to boat = 118.6 / tan 30° = 2237.9 = feet

Therefore;

D is the distance between A and B.

D = Horizontal distance between B and LH - Horizontal distance between A and LH

A to B distance = 2237.9 feet − 968 feet 1269.9 feet

The distance between points A and B is 1,269.9 ft.

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Answer:

The Boat traveled 628 ft, from point A to point B.

Step-by-step explanation:

Its 628 bc I just got it correct on my hw.

The number of hours it will take Ganymede to complete a full rotation is; 171.25 hours.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The first step must be to convert days to hours. A day is equivalent to the 24 hours.

1 day = 24 hours

24 x 7 = 168 hours

The second step must be to convert minutes to hours,

60 minutes = 1 hour

15 / 60 = 0.25 hours

Now, add up all the converted hours together;

Total hours = 168 hours + 3 hours + 0.25 hours

Total hours = 171.25 hours

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The expression is √3/2 (sin x) - (cos x)/2

Here we have

sin( x + 11π/6)

We have to express it in terms of sin(x) and cos(x)

sin ( 2π - π/6 + x)

sin ( 2π + ( x - π/6))

sin(2π + Ф ) = sin Ф

So

sin( x - π/ 6)

Formula :

sin(A -B) = sin A cos B - cos A sin B

sin( x - π/ 6)

sin x cos π/6 - cos x sin π/6

con π/6 = √3/2  and sin π/6 = 1/2

√3/2 sin x - 1/2 cos x

Therefore the expression is √3/2 sin x - 1/2 cos x.

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Answer:

43

Step-by-step explanation:

So, the key to solving this is PEMDAS, or parenthesis, exponents, multiplication/division from left to right, and addition/subtraction from left to right. So, you start off with 14x3, which is 42. So, you have 42-2+3. Next, you have to do 42-2, which is 40. Finally, you do 40+3, which is 43.

Answer:

43

Step-by-step explanation:

14 x 3 - 2 + 3

PEMDAS says multiply before adding or subtracting

42 - 2 + 3

Then subtract

40 +3

Then add

43

Answer: x = (5√2)/2

The last option

Explanation:

The given triangle is a right triangle. Taking angle 45 as the reference angle,

hypotenuse = 5

opposite side = x

We would find x by applying the sine trigonometric ratio which is expressed as

sin θ = opposite side/hypotenuse

By substituting the given values into the equation,

sin45 = x/5

Recall,

Thus,

x = (5√2)/2

The last option

The given line equation is y=1.

The general form of the line equation is

Comparing this equation with y=1, we get

Compare coefficient of x and constant term, we get

Here m=0 is the slope of the line y=1.

Hence the slope of the line y = 1 is zero.

This statement is true.

total number of sides = 6

sides that are 2 or 5 = 2

Divide the sides thata re 2 or 5 (2) by the total sides:

2 /6 = 1/3

1 and 135 are corresponding angles.

Corresponding angles on parallel lines are equal

m<1= 135 degrees

Answer:

9

Step-by-step explanation:

the absolute value function always delivers only the positive value of anything inside the absolute function.

therefore, x is 9 and only 9.

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.