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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

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# Tag: table

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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

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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?

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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?

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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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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

forming quadratic equation we get:

-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

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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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**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.

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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

D is answer

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**Answer:**

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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### Answered by answersmine AT 22/10/2019 – 04:11 AM

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

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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:$

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**Answer:**

**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)}

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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)}

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**Answer:**

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

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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.

**Answer: 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

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

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**Answer with explanation:**

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.**

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Gino is buying wood screws at the corner hardware store. The table shows different numbers of bags of screws and their corresponding prices. Bags of Screws Price ($) 2 10 4 20 7 35 According to the table, the relationship between the number of bags and the price is .

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