Complete the following sentence.

350 g ≈ ? lb

The rate of change between (2,-1) and (-6,-5) is 1/2.

What is the rate of change?

The slope is the ratio of the rate of change between two points (also known as the "slope") to (the change in the x coordinate).

Let (x,y)=(2,-1), (m,n)=(-6,-5)

Rate of change=(n-y)/(m-x)=(-5-(-1))/(-6-2)=1/2.

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1. IQR, because Sunny Town is skewed 2. Both coffee shops typically sell the same amount of coffee per hour. 3. Burger Quick is able to estimate their wait time more consistently than Super Fast Food, since it has a smaller IQR.

The middle 50% of a dataset are represented by the interquartile range (IQR), a measure of variability. It is computed as IQR = Q3 - Q1, where IQR is the difference between the first and third quartiles (Q1 and Q3). The dataset is divided into four equal portions by quartiles, with Q1 standing for the 25th percentile and Q3 for the 75th percentile. The IQR is an effective tool for comparing the spread of datasets since it is a robust measure of variability that is unaffected by extreme values or skewness.

To determine the location with the most consistent temperature use IQR, since it is the best way to compare the consistency of temperature readings between the two sites.

2. The mean is:

(1.5 + 20 + 3.5 + 12 + 2 + 5 + 11 + 7 + 2.5 + 9.5 + 3 + 5) / 12 = 6.25

Arrange the values in order: 1.5, 2, 3, 3.5, 5, 7, 9.5, 11, 12, 20

The middle two values are 7 and 9.5.

The median is (7 + 9.5) / 2 = 8.25

Thus, we can conclude that both coffee shops typically sell the same amount of coffee per hour.

3. Super Fast Food:

IQR of 7.5 (15.5 - 8.5) and a range of 24 (27 - 3)

Burger Quick:

IQR of 15 (24 - 9.5) and a range of 28 (30 - 2).

Burger Quick is able to estimate their wait time more consistently

than Super Fast Food, since it has a smaller IQR.

4. Bus 47 :

IQR of 8 (16 - 8) and a range of 24 (28 - 4)

Bus 14:

IQR of 6 (18 - 12) and a range of 18 (28 - 10).

Hence, Bus 14 is the most consistent, since it has a smaller IQR.

5. For the Allstars, the mean is:

(73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 = 67.

The Champs, with a median of about 67 inches

6. For the given data:

Median = (5 + 5) / 2 = 5

The measures of center for Bay Side School and Seaside School are both 5.

B: Range = 8 - 0 = 8.

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The best measure of spread is the Interquartile range (IQR), which captures the spread of the central 50% of the data and is less influenced by outliers.

The type of distribution and the best measures of center and spread for the given data set:

Data Set: 1, 7, 11, 14, 17, 17, 17, 21, 21, 23, 23, 26

1. Type of Distribution:

To determine the type of distribution, we can examine the data for any patterns or characteristics. Looking at the data set, we observe that the values are not evenly distributed and there are repetitions of certain values (e.g., 17, 21, 23). This suggests that the data may exhibit a discrete or grouped distribution rather than a continuous distribution. Specifically, it appears to be a multimodal distribution since there are several modes (repeated values) in the data set.

2. Measure of Center:

To identify the best measure of center for this data set, we can consider the mean, median, and mode. Since the data set exhibits multimodality with repeated values, the mode is a suitable measure of center. In this case, the modes are the values that occur most frequently, which are 17, 21, and 23. Therefore, the mode(s) provide the best measure of center for this data set.

3. Measure of Spread:

To determine the best measure of spread, we can consider the range, standard deviation, and interquartile range (IQR). Since the data set contains outliers and is not symmetrically distributed, the range is not the best measure of spread. The standard deviation may not accurately represent the spread due to the presence of outliers. Therefore, the interquartile range (IQR) is a robust measure of spread that is less affected by outliers. The IQR is calculated as the difference between the first quartile (Q1) and the third quartile (Q3) and provides a measure of the spread of the central 50% of the data.

the type of distribution for the given data set is multimodal with repeated values. The best measure of center is the mode, which is 17, 21, and 23. The best measure of spread is the interquartile range (IQR), which captures the spread of the central 50% of the data and is less influenced by outliers.

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Answer: The answer is 0.

X = 0 when evaluated.

Step-by-step explanation:

Answer:

(4x+5y=7

y=3x+9

4x+5(3x+9)=7

4x+15x+45=7

19x=7-45

19x= -38

19×/19=-38/19

x= -2

whlie y=3x+9

y=3(-2)+9

y= -6+9

y=3 end solution

x= -2,y= 3

Answer:

Step-by-step explanation:

y= 2x+36

x=36

Answer:

2/5

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

When you go to do a repeating decimal, put whatever repeats over 9. For example lets say we want .49494949 repeating it would be 49/99

however in this case we want 4 to repeat so it would be 4/9.

Answer:

Step-by-step explanation:

The standard form of a circle is

\((x-h)^2+(y-k)^2=r^2\)

If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:

\((0-0)^2+(5-0)^2=r^2\) and

\(0^2+5^2=r^2\) so

\(r^2=25\)  Our circle's equation is

\(x^2+y^2=25\)

Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:

\(4^2+4^2=25\)

Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because

\(4^2+4^2>25\)

If the inequality < were true then the point would lie inside.

Answer: X>3/5

Step-by-step explanation: because it doesent have a line under the greater than sign.   (: i hope that answers that!!

Pattern A is the x axis. The rule Adds 2 .

0 , 2, 4, 6, 8

Part B is the y axis. The rule Adds 3.

0, 3, 6, 9, 12

In this context, we will explore the benefit and step of budgeting on home pay. By creating a budget and sticking to it, She (Henley) can ensure that she is effectively managing her income and achieving her financial goals.

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Based on the information provided in your question, the appropriate answer is:
O Six seasonal dummy variables and a time variable

This is because the time series plot indicates a linear trend and a daily seasonal pattern.

In multiple regression analysis, the independent variables would include:
Six seasonal dummy variables (since there are daily patterns, you would need one dummy variable for each day of the week, except one day, which will serve as the reference category).

This accounts for the daily seasonal pattern.
A time variable (to account for the linear trend).

O Six seasonal dummy variables and a time variable.

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Answer:

15/2 = 7,5

7.5m (m for minutes) p

7.5p <---- equation

7.5 * 10 = 75 minutes

Answer:

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°

Answer:

a≈18 cm

Step-by-step explanation:

     we have given:

an angle,

the adjacent side and

     we need to find:

the opposite side

we know that the definition of

tan of an angle = opp. side/ adj. side

              tan 61° = a/ 10

multiply both sides by 10

        10 * tan61° = a

   18.04047755 = a

                      18 ≈ a

Answer:

Okay so for number 16

You have 2 parralel lines with a line through it.

Your trying to find the value of x

You have 2 angles given to you

one is 120 degrees whole the other is 5x+140 degrees.

They are corresponding angles. And now in this case corresponding angles are always equal.

So really all you gotta do is

120=5x+140

Now solve

-20=5x

x= -4

So the first one is x=-4

I can’t really see the other ones but here’s all you need to know

Alternate exterior - Equal

Altenrate interior - Equal

Corresponding - Equal

Interior - Not equal

Exterior-Not equal

Use these to guide you

Let's label the regions in the Venn diagram as follows:

F: students who do only field events

T: students who do only track events

S: students who do only swimming events

FT: students who do both field and track events

ST: students who do both swimming and track events

FST: students who do all three events

From the information given in the problem, we can fill in some of the values in the Venn diagram:

F + FT + 15 = 33 (33 students do field events, and 15 do field events only)

T + FT + 14 = 40 (40 students do track events, and 14 do both field and track events)

S + ST + 10 = 23 (23 students do swimming, and 10 do both swimming and track events)

F + T + S + 2FT + ST + FST = 68 (there are 68 students in total)

We can simplify these equations to:

F + FT = 18

T + FT = 26

S + ST = 13

F + T + S + 2FT + ST + FST = 68

To solve for the remaining unknowns, we need to use some algebra. We can start by solving for FT:

F + FT = 18

T + FT = 26

Adding the two equations, we get:

F + T + 2FT = 44

Rearranging, we get:

FT = (44 - F - T) / 2

Now we can substitute this expression for FT into the equation for the total number of students:

F + T + S + 2FT + ST + FST = 68

F + T + S + 2((44 - F - T) / 2) + ST + FST = 68

F + T + S + 44 - F - T + ST + FST = 68

Simplifying, we get:

S + ST + FST = 26

Now we have two equations involving S, ST, and FST:

S + ST = 13

S + ST + FST = 26

We can solve for S and ST by subtracting the first equation from the second:

S + ST + FST = 26

(S + ST) + FST = 26

Substituting S + ST = 13:

13 + FST = 26

FST = 13

So there are 13 students who do all three events. Now we can use the equation S + ST = 13 to solve for S:

S + ST = 13

ST = 10 (given in the problem)

S = 13 - 10 = 3

So there are 3 students who do swimming only. Similarly, we can use the equation T + FT = 26 to solve for T:

T + FT = 26

FT = (44 - F - T) / 2

Substituting F + FT = 18:

T + (18 - F) / 2 = 26

Multiplying both sides by 2:

2T + 18 - F = 52

Answer: x = 4

Step-by-step explanation:

Answer:

X= 4

Step-by-step explanation:

You add the six to both sides and get 3x+5x=32. Add the 3 with the %x to get 8X. Divide 32 by 8 to get 4.

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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\(\bf{1) \ x^4-61x^2+900=0 }\)

Applying the factorization method, for example:

      \(\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}\)

               \(\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }\)

              \(\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }\)

\(\bf{2) \ x^4-25x^2+144=0 }\)

Applying the factorization method:

          \(\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }\)

             \(\bf{ =(x-4)(x+4)(x-3)(x+3); }\)

            \(\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }\)

Answer:

12

Step-by-step explanation:

Time=D/S

T1=PQ/20

T2=PQ/30

Total Time=T1+T2

1=PQ/20+PQ/30

PQ=12

Answer: 8 whole gallons.

Step-by-step explanation: If you have only $27.00 and you need to buy gas, but each gallon is $3.15, then you just need to divide your total amount ($27.00) by your cost per gallon ($3.15), and you will get about 8.6 gallons, however this question asks for how many WHOLE gallons you can get, so all you need to do is round down to fit your budget, leaving money for only 8 whole gallons.

WORK: ($27.00) / ($3.15) = 8.6 gallons

Answer and Step-by-step explanation:

We are given a linear pair. The angles of a linear pair add up to 180.

To find x, add the two angles together and equal it to 180, then solve for x.

126 + x + 23 = 180

Simplify.

149 + x = 180

Subtract both sides of the equation by 149.

x = 31

x = 31 is the answer.

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Answer:

4/10 and 10/25 ok

3/5 and 9/25 not ok

4/11 and 6/13 not ok

4/9 and 9/4​ not ok

Step-by-step explanation:

Answer:

-3.5

Step-by-step explanation:

-3 1/2 is the same as -3.5

-3.5 is negative, so it means that is below sea level, so it will be below the zero. if you don’t have the exact mark for -3.5, it will go betwee -3 and -4.

The probability that neither student passes the final exam is 0.0104.

Here, we are given two independent events with probabilities as follows-

Probability that student 1 passes the final exam = 0.92

⇒ Probability that student 1 does not pass the final exam = 1 - 0.92

= 0.08

Similarly, the probability that student 2 passes the final exam = 0.87

⇒ Probability that student 2 does not pass the final exam = 1 - 0.87

= 0.13

Now, we need to find the probability that neither student passes the final exam. This will be given as follows-

0.08 × 0.13

= 0.0104

Thus, the probability that neither student passes the final exam is 0.0104.

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Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

Step-by-step explanation:

because its fun

The equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.

The position of the particle is given by the vector-valued function r(t) = (t + 4) i + (t2 + 5) j, where i and j are the standard basis vectors in the x and y directions, respectively. To find an equation in x and y whose graph is the path of the particle, we can eliminate the parameter t.

We start by solving for t in terms of x: t = x - 4. Substituting this expression into the equation for y, we get y = (x - 4)2 + 5 = x2 - 8x + 21.

Therefore, the equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.

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Answer:3148521

Step-by-step explanation: cuz ik everything

The solution is X =13.66.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

given that,

(X-8)^2-7=25

(X-8)^2= 25+7

(X-8)^2=32

by, thaking sq.root both side we get,

(X-8)= √32

X= 5.66+8

X =13.66

Hence, The solution is X =13.66.

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