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## The table shows the relationship between time spent running and distance traveled in which type of model best describes the relationship

The table shows the relationship between time spent running and distance traveled in which type of model best describes the relationship

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## The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

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## The table below represents the function P(n). Which of the following is the value of P(n) when n = 35?

The table below represents the function P(n). Which of the following is the value of P(n) when n = 35?

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## Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

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## Two groups of students were asked how many hours they spent reading each day. The table below shows the numbers for each group: Group A 1 2 1 1 3 3 2 2 3 Group B 3 2 3 2 2 2 1 1 2 Based on the table, which of the following is true? The interquartile range for Group A students is 0.5 less than the interquartile range for Group B students. The interquartile range for Group A students is equal to the interquartile range for Group B students. The interquartile range for Group A employees is 0.5 more than to the interquartile range for Group B students. The interquartile range for Group A employees is 1 more than the interquartile range for Group B students.

Solution:

Data represented as number of hours spent in studying by Group A Students:

1,2,1,1,3,3,2,2,3

Arranging it in ascending order: 1,1,1 ,2, 2, 2, 3, 3, 3,

As number of terms is odd, The median will be middle value of observation.Which is 2.

The Data arranged in ascending order are , (1,1,1,2),2(2,3,3,3).

Median of (1,1,1,2) = =1

Median of (2,3,3,3)==3

=Interquartile Range ==3-1=2

For Data Set 2,

The Data for group B students are:  3   2 3 2 2 2 1 1 2

Arranging in ascending order: 1,1,2,2,2,2,2,3,3

total number of observation = 9

Median = 2

Arranging the data as : (1,1,2,2) 2,(2,2,3,3)

Median of (1,1,2,2)= Number of observation is 4 which is even , so Median= =

Median of (2,2,3,3)=

S=Interquartile Range = =

Interquartile range for Group A Students =Interquartile range for Group B students + 1

Option (D) The interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.

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## The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball moves in the air along a path represented by g(t) = 10 + 15.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds. Part A: Create a table using integers 0 through 3 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Given two functions: h(t)=-16t^2+48t+12 and g(t)=10+15.2t
A] The table of both functions from 0 to 3 will be:
h(t)=-16t^2+48t+12
t           0           1            2          3
h(t)       12         44          44        12

g(t)=10+15.2t

t          0        1            2             3
g(t)     10      25.2       40.4        55.6

the point in which h(t)=g(t) will be given by:
-16t^2+48t+12=10+15.2t
-16t^2+32.8t+12=0
solving the above quadratic equation using the formula we get:
t=-0.32 or t=2.4
therefore we conclude that they only met once, at point t=2.4 sec
therefore they met between points t=-0.32 and t=2.4

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## In how many ways can 6 students be seated at a round table? 120 720 36

In how many ways can 6 students be seated at a round table? 120 720 36

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## Find P(Y|B) from the information in the table. | X | Y |Z | total a | 8 | 80 | 40 | 128 b | 6 | 34 | 45 | 85 c | 23 | 56 | 32 | 111 total | 37 | 170 | 117 | 324 To the nearest tenth, P(Y|B) =____

P(Y|B) reads ‘Probability of event Y happening given event B is happening’. This is a conditional probability and the formula is given as

P(Y|B) = P(Y∩B) / P(B)

From the table, P(Y∩B) = 34/324 and P(B) = 85/324

Hence,
P(Y|B) = (34/324) ÷ (85/324) = 34/85

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## Which statement correctly describes the slope of the linear function that is represented by the data in the table? Table (It may move to the left a bit when it is actually posted, sorry. It shouldn’t be hard to read though) x y 8 -8 8 -4 8 0 8 4 8 8 a.The slope is positive. b.The slope is negative. c.The slope is zero. d.There is no slope.

Answer: d. There is no slope.

Step-by-step explanation:

We know that slope =

For the given table, since there is no change in x coordinate .

Thus the change in x coordinate is 0.

Therefore, slope=

which means the slope does not exist.

Hence, (d) is the right option. There is no slope.

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## In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

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## SPENT 50 POINTS ON THIS QUESTION PLEASE HELP In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

Slope=changey/changex
well, the slope will be positive when the minutes (x) are increasing and the altitude (y) is also increasing
the slope will be negative when the minutes (x) are increasing and the altitude (y) is decreasing

we see that x increase
and y decreases
so the slope is negative because as minutes incrases, altitude decreases

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## From the table below, determine whether the data shows an exponential function. Explain why or why not. (x) -5, -4, -3, -2 (y) 0.5, 2, 8, 32 A) Yes; the domain values are at regular intervals and the range values have a common factor 8. B) Yes; the domain values are at regular intervals and the range values have a common factor 4. C) No; the domain values are not at regular intervals. D) No; the domain values are at regular intervals and the range values have a common factor 4. Please help, and please give me an explanation on the answer you choose because I need to make corrections. Please.

Option B-  Yes; the domain values are at regular intervals and the range values have a common factor 4.

Step-by-step explanation:

Given : The data

(x) -5,   -4,  -3,   -2

(y) 0.5,  2,   8,   32

To find : The data shows an exponential function or not

Solution :

The general form of an exponential form is

To check whether the data give the exponential function we form equation with the help of two points and verify the other two points .

Let x= -5 and y=0.5

……[1]

Let x= -4 and y=2

………[2]

Equate LHS because RHS is equal in equation [1] and [2]

Put back in [2]

.

a=512 and b=4

Exponential function –

To verify this function put

1) x=-3

The point satisfied.

2) x=-2

The point satisfied.

Therefore, The given data is an exponential function

The domain values are at regular intervals and the range values have a common factor 4 because b=4 and the change happen but value of b remain same.

Hence, Option B is correct.

Yes; the domain values are at regular intervals and the range values have a common factor 4.

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## A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is \$89 . The total cost to rent 2 chairs and 3 tables is \$34 . What is the cost to rent each chair and each table? Costtorenteachchair:\$ Costtorenteachtable:\$ i might jsut ask this and leave…unless theres another..

Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together   4C + 8T = 73-4C – 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is \$1.25 and the cost to rent each table is \$8.50

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## In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply. y = x y =x/0 y = 0x y = 0/x

In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply. y = x y =x/0 y = 0x y = 0/x

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## A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is \$89 . The total cost to rent 2 chairs and 3 tables is \$34 . What is the cost to rent each chair and each table? Costtorenteachchair:\$ Costtorenteachtable:\$

A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is \$89 . The total cost to rent 2 chairs and 3 tables is \$34 . What is the cost to rent each chair and each table? Costtorenteachchair:\$ Costtorenteachtable:\$

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## PLEASE HELP!!!!!! The Jonas school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IRQ σ High School M 128 180 62 141 160 55.5 41.5 High School N 131 180 49 159 154 48.5 36.5 High School P 140 180 40 153 165 32.5 31.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

High School P has the most consistent attendance among its students.

School N should be awarded for the highest average attendance.

Step-by-step explanation:

Consider the provided information.

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically.

Standard deviation (σ) is a measure of how a data set is spread out.

If the standard deviation is low, this implies that the information tends to be near to the set mean, whereas a high standard deviation implies that the information points are spread across a wider spectrum of values.

Therefore, for more consistency we need to look for the low standard deviation.

From the provided table we can see that the school P has low standard deviation (σ) i.e 31.5

Hence, High School P has the most consistent attendance among its students.

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

The formula for mean is:

Mean is the same as average.

The sum of mean or average will be larger if each students contributes more attendance.

For highest average attendance the school with higher mean should be awarded.

Hence, School N should be awarded for the highest average attendance.

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## Determine the domain for the function in the table below. x f(x) 0 3 2 2 4 1 {1, 2, 3} {0, 2, 4} {(0, 3), (2, 2), (4, 1)} {(3, 0), (2, 2), (1, 4)}

Determine the domain for the function in the table below. x f(x) 0 3 2 2 4 1 {1, 2, 3} {0, 2, 4} {(0, 3), (2, 2), (4, 1)} {(3, 0), (2, 2), (1, 4)}

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## Determine the range of the function in the table below. x f(x) -11 50 -13 63 10 -51 21 -72 {-11, -13, 10, 21} {(-11, 50), (-13, 63), (10, -51), (21, -72)} {50, 63, -51, -72} {(50, -11), (63, -13), (-51, 10), (-72, 21)}

Determine the range of the function in the table below. x f(x) -11 50 -13 63 10 -51 21 -72 {-11, -13, 10, 21} {(-11, 50), (-13, 63), (10, -51), (21, -72)} {50, 63, -51, -72} {(50, -11), (63, -13), (-51, 10), (-72, 21)}

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## What type of gate does this input-output table correspond to? Input: Output: A B ? 0 1 1 0 0 0 1 0 1 1 1 1

Tables 1 and 5 are equal.

Step-by-step explanation:

Given are 5 tables in x and y with two values each.

We are to find out which two represent the same function.

As for every function, two points are given.

Let us compare the slopes of each function.

Slope=change in y coordinate/change in x coordinate

Table           Slope

I                 -0.5

2               -0.5

3               -0.5

4                 1

5                -0.5

Table 4 is eliminatednow.

Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same.  Similarly for 2 different values are there in table 3,4,5.  Hence 3,4,5 cannot be pairwise equal.

We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5

So table I = table 5

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## Review the excerpt from The Code Book. Cryptanalysts realize that their real goal is to find a way of cracking the RSA cipher, the cornerstone of modern encryption . . . Use the meaning of the underlined words above to understand the sentence. David’s family was puzzled by the short and cryptic note he left on the table. What does cryptic mean? clear plain believable mysterious

Review the excerpt from The Code Book. Cryptanalysts realize that their real goal is to find a way of cracking the RSA cipher, the cornerstone of modern encryption . . . Use the meaning of the underlined words above to understand the sentence. David’s family was puzzled by the short and cryptic note he left on the table. What does cryptic mean? clear plain believable mysterious

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## The table below represents the displacement of a horse from its barn as a function of time: Time(hours) x. 0 1 2 3 4 Displacement from barn (feet) y 8 58 108 158 208 part a: what is the y-intercept of the function, and what does this tell you about the horse? part b: calculate the average rate of change of the function represented by the table between x=1 to x=3 hours, and tell what the average rate represents. part c: what would be the domain of the function of the horse continued to walk at this rate until it traveled 508 feet from the barn?

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## Which table shows a proportional relationship between x and y? (a)x y 1 5 2 6 3 7 (b)x y 2 3 4 6 6 9 (c) x y 4 16 8 64 12 144 (d)x y 1 3 2 9 3 27

Which table shows a proportional relationship between x and y? (a)x y 1 5 2 6 3 7 (b)x y 2 3 4 6 6 9 (c) x y 4 16 8 64 12 144 (d)x y 1 3 2 9 3 27

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## Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)

Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)

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## The table below shows data from a survey about the amount of time high school students spent reading and the amount of time spent watching videos each week (without reading): Reading Video 5 1 5 4 7 7 7 10 7 12 12 15 12 15 12 18 14 21 15 26 Which response best describes outliers in these data sets? A) Neither data set has suspected outliers. B) The range of data is too small to identify outliers. C) Video has a suspected outlier in the 26-hour value. D) Due to the narrow range of reading compared to video, the video values of 18, 21, and 26 are all possible outliers.

Arranging the data in ascending order

1, 4,5,5,7,7,7,7, 10,12,12,12,12,14,15,15,15,18,21,26

There are 20 data values in data set.

Mean of data set

Since there are , even number of data values in the data set,

So, Median

First Quartile and third Quartile can be calculated directly ,using the concept of even and odd number of Observations in the data set.

Mode> 12

Since data values is negatively skewed, Mean < Median <Mode.

To calculate Outlier

Interquartile Range (IQR)

Also,

No, value exceeds 27, nor any value is less than -5.

So, there are no outliers in Data set, which has 20 values.

Option A:  Neither data set has suspected outliers.