You are on the planning committee for the city road race.
Your job is to plan a route for the race according to the
rules below.
- The race has to be more than 3 miles but less than
5 miles in length.
- The race should start and stop at the same place.
- No part of the race can run through Central Avenue.
.
Here is a city map. Each city block (small square on the
map) is 0.1 mile by 0.1 mile.
Use a coordinate grid to draw the race route. Label the
vertices of the polygon that you draw with coordinate
pairs. Show and explain why your route meets all of the
rules. Then write a description of the route using
directional words and street names.

PLEASE HELP NEED TO FINSH BEFORE 10 WHOEVER ANSWERS THIS I WILL GIVE BRAINLIEST

A one-to-one relationship between two tables is indicated by a primary key in one table being used as a foreign key in the other table. It means each record in one table corresponds to exactly one record in the other table.

In a one-to-one relationship between two tables, a primary key in one table is used as a foreign key in the other table. This relationship is established to ensure that each record in one table corresponds to only one record in the other table.

For example, in the "Customers" and "Orders" tables, each customer can have only one order, and each order can belong to only one customer. The primary key "CustomerID" in the "Customers" table would be used as the foreign key in the "Orders" table.

This indicates that each record in the "Orders" table is associated with a specific customer in the "Customers" table, creating a one-to-one relationship. For example, in the "Customers" and "Orders" tables, each customer can have only one order, and each order can belong to only one customer.

To know more about Corresponds visit.

https://brainly.com/question/26104021

#SPJ11

Answer: 90

Step-by-step explanation:

To find the median speed of the drives, list the speeds in order from lowest to highest and find the middle value. If there's an even number of speeds, find the average of the two in the middle.

To find the median speed of the drives in miles per hour, you would first arrange the speeds in order from smallest to largest and then identify the speed that sits exactly in the middle of this list. If there is an even number of observations, the median is the average of the two middle speeds.

For instance, if the speed of the drives listed in the table are 50 mph, 60 mph, 70 mph, 80 mph, and 90 mph, the median would be 70 mph. If the speeds were 50 mph, 70 mph, 80 mph, and 90 mph, the median would be the average of 70 and 80 mph, which is 75 mph.

The frequency table is useful in identifying how often each speed occurred, but it won't directly affect your calculation of the median. It's important to understand this concept as part of a broader understanding of statistics and data analysis.

https://brainly.com/question/32982949

#SPJ3

Answer:

x = 2

Step-by-step explanation:

From the question we are given the algebraic sign with the Inequality sign

95 - 2x < 7 (15x - 17)

In order to find all the possible values of x that makes the algebraic expression true ,

We solve for this by convert the less than(<) sign to =

A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.

Therefore:

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

Collect like terms

95 + 119 = 105x + 2x

214 = 107x

x = 214/107

x = 2

In other to confirm if x = 2 makes the expression true

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

95 - 2 × 2 = 105 × 2 - 119

95 - 4 = 210 - 119

91 = 91

Therefore, the possible values for x that make the statement true is x = 2

Answer:

7

Step-by-step explanation:

There are 12,842,421,440 license plates in which exactly 3 of the 7 characters are digits which can be solved with the use of combinations.

We want to choose 3 out of the 7 positions to be digits, and we want to choose the digits from the set of digits 1 through 9 (since 0 is not allowed). The remaining 4 positions can be filled with any of the 26 capital letters.

Thus, we have:

number of license plates = (number of ways to choose 3 digit positions) x (number of ways to choose the digits) x (number of ways to fill the remaining positions with letters)

number of ways to choose 3 digit positions = C(7,3) = 35 (where C(n,r) represents the number of combinations of r items chosen from a set of n items)

number of ways to choose the digits = 9 x 9 x 9 = 729 (since each digit can be chosen independently)

number of ways to fill the remaining positions with letters = 26^4 = 456976 (since there are 26 choices for each of the remaining 4 positions)

Putting it all together, we have:

number of license plates = 35 x 729 x 456976 = 12,842,421,440

Therefore, there are 12,842,421,440 license plates in which exactly 3 of the 7 characters are digits.

Learn more about combinations at

brainly.com/question/18820941

#SPJ4

Answer:

Step-by-step explanation:

x = 5

Answer:

x=5

Step-by-step explanation:

The mean, Variance , and standard deviation for the number of Americans who favor government spending for alternative fuels are given by;

Mean = 82.5

Variance = 20.625

Standard deviation = 4.54

Given that, for a random sample of 110 Americans, 75% of them favor spending government money to develop alternative sources of fuel for automobiles. We need to find the mean, variance, and standard deviation for the number who favor government spending for alternative fuels.

Mean:

For Bernoulli trials, the mean is the same as the probability of success. Therefore, the mean number of Americans favoring government spending for alternative fuels = 0.75×110=82.5

Variance : For Bernoulli trials, the variance is given by;

Variance = npq

Here, p = 0.75, q = 1-p = 0.25 and n = 110

Therefore, variance = 110 × 0.75 × 0.25 = 20.625

Standard Deviation: Standard deviation is the square root of variance.

Standard deviation = √(20.625) = 4.54 (rounding off to 3 decimal places)

Therefore, the mean, variance, and standard deviation for the number of Americans who favor government spending for alternative fuels are given by; Mean = 82.5

Variance = 20.625

Standard deviation = 4.54 (rounding off to 3 decimal places)

To know more about variance: https://brainly.com/question/10687815

#SPJ11

Answer:

The translated ordered pairs are \(P_{1}'(x,y) = (0, 5)\) and \(P_{2}' (x,y) = (12, -9)\).

Step-by-step explanation:

Vectorially speaking, a translation is defined by the following formula:

\(P'(x,y) = P(x,y) + T(x,y)\) (1)

Where:

\(P(x,y)\) - Original point.

\(P'(x,y)\) - Translated point.

\(T(x,y)\) - Translation vector.

If we know that \(P_{1}(x,y) = (-3, 6)\), \(P_{2} (x,y) = (9, -8)\) and \(T(x,y) = (3, -1)\), then the translated points are, respectively:

\(P_{1}'(x,y) = (-3, 6) + (3,-1)\)

\(P_{1}'(x,y) = (0, 5)\)

\(P'_{2}(x,y) = (9,-8) + (3, -1)\)

\(P_{2}' (x,y) = (12, -9)\)

The translated ordered pairs are \(P_{1}'(x,y) = (0, 5)\) and \(P_{2}' (x,y) = (12, -9)\).

The decimal number that corresponds to the binary number 11111111 is 255.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. A decimal number is made up of two parts: a whole number and a fractional component separated by a decimal point. The decimal point is the dot between the whole number and the fractions. 25.5, for example, is a decimal number.

Here,

In binary, each digit represents a power of 2, starting with the rightmost digit. The rightmost digit in 11111111 represents 2^0, the second digit from the right represents 2^1, and so on. To convert a binary number to decimal, you add up the value of each digit times the corresponding power of 2.

For 11111111, the calculation would be:

=1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1 * 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1

=255

The decimal equivalent of the binary number 11111111 is 255.

To know more about decimal number,

https://brainly.com/question/4708407

#SPJ4

We can determine the PDF g(y) of y = x², where x has a gamma distribution with α = 3 and θ = 2, using two methods: the change of variable method and the distribution function method. Both methods give the same result, which is g(y) = (1/16) × (\(y^{3/2}\) - 1)) × \(e^{-\sqrt{y}/2}\) for y > 0.

We can determine the PDF g(y) of y = x² using two different methods: the change of variable method and the distribution function method.

Method 1: Change of Variable Method

To use the change of variable method, we first need to find the distribution of the transformed variable y = x². We can do this by using the probability density function (PDF) of the gamma distribution.

The PDF of the gamma distribution with shape parameter α and scale parameter θ is given by:

f(x) = (1/θ²) x \(x^{\alpha -1}\)) x (-x/θ) for x > 0

Substituting y = x², we get:

x = √(y)

dx/dy = 1/(2×√(y))

Using the change of variable formula for PDF, we have:

g(y) = f(x) ×|dx/dy|

g(y) = (1/(2 x θᵃ)) × \(y^{\alpha /2 - 1}\)x (-√(y)/θ) for y > 0

Substituting the given values of α and θ, we get:

g(y) = (1/16) x (\(y^{3/2-1}\)) x (-√(y)/2) for y > 0

Method 2: Distribution Function Method

To use the distribution function method, we first need to find the cumulative distribution function (CDF) of y = ². We can do this by using the CDF of the gamma distribution.

The CDF of the gamma distribution with shape parameter α and scale parameter θ is given by:

F(x) = Γ(α, x/θ)/Γ(α) for x > 0

where Γ(α, x/θ) is the upper incomplete gamma function and Γ(α) is the gamma function.

Substituting y = x², we get:

F(y) = P(Y ≤ y) = P(X^2 ≤ y) = P(-√(y) ≤ X ≤ √(y))

= F(√(y)) - F(-√(y))

where F(x) is the CDF of the gamma distribution.

Differentiating F(y) with respect to y, we get the PDF of y:

g(y) = (d/dy)F(y) = f(√(y)) / (2√(y)) - f(-√(y)) / (2√(y))Substituting the PDF of the gamma distribution, we get:

g(y) = (1/(2θ\(.^{2}\))) × ((√(y))\(.^{\alpha -1}\))) x  (-√(y)/θ) / (2√(y))

- (1/(2θ\(.^{\alpha}\))) x ((-√(y))^(α-1)) x (√(y)/θ) / (2√(y))

Simplifying, we get:

g(y) = (1/16) x (\(y^{3/2-1}\)) x \(e^{-\sqrt{y}/2}\) for y > 0

which is the same as the result obtained using the change of variable method.

Learn more about Function :

https://brainly.com/question/31425698

#SPJ4

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

\(ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } \)

\( = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} \)

\( = \sqrt{65} = 8.1\)

\(ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } \)

\(= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} \)

\( = \sqrt{61} = 7.8\)

The null hypothesis for this test is that the mean ECLSE test score for the university is equal to 1200. The alternative hypothesis is that the mean is not equal to 1200.

To perform the test, you will need to calculate the t-statistic and the p-value. The t-statistic is calculated by:

t = (sample mean - hypothesized mean) / (sample standard deviation/sqrt (sample size))

In this case, the sample mean is 1180, the hypothesized mean is 1200, the sample standard deviation is 100, and the sample size is 100. Plugging these values into the equation gives:

t = (1180 - 1200) / (100 / sqrt(100)) = -20 / 10 = -2

Next, you will need to calculate the p-value. The p-value is the probability of observing a t-statistic as extreme as the one calculated, given that the null hypothesis is true.

To calculate the p-value, you will need to use a t-distribution table or a software package to find the t-critical value for a one-tailed test with 99 degrees of freedom (since you have a sample size of 100) and a significance level of 0.05. The t-critical value is the value that defines the rejection region for the test. If the t-statistic falls in the rejection region, you can reject the null hypothesis.

If the p-value is less than the significance level of 0.05, you can reject the null hypothesis and conclude that the mean ECLSE test score for the university is not equal to 1200 at the 95% significance level. If the p-value is greater than or equal to 0.05, you cannot reject the null hypothesis and cannot conclude that the mean is different from 1200.

To know more about t-statistics visit :

https://brainly.com/question/15236063?referrer=searchResults

#SPJ4

In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .

To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.

To know more about hypothesis visit :

https://brainly.com/question/29576929

#SPJ11

Answer:

Step-by-step explanation:

x = what?

The probability that the first republican you find is the 4th voter in line is 12.25%.

In the gievn question, the probability in your area that a voter is a republican is 0.35.

We have to find the probability that the first republican you find is the 4th voter in line.

The probability of a voter is a republican is 0.35.

The first republican we find is the 4th voter in line is

=0.35*0.35

Now multiplying;

=0.1225

To convert in percentage multiply and divide by 100.

We get

=12.25%

Hence, the probability that the first republican you find is the 4th voter in line is 12.25%.

To learn more about probabilty link is here

brainly.com/question/11234923

#SPJ1

The segment FG is reflected by the rule (x, y) → (-x, y). Hence, option C is the correct answer.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations constitute the foundation for the majority of proofs. Transformations allow us to change any image in a coordinate plane. The rules of transformations can be utilised to better understand the images used in video games.

The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.

FG has points at F(-6, -3) and G(-3, 6), and F'(6, -3) and G'(3, 6).

It is reflected by the rule (x, y) → (-x, y).

Hence, option C is the correct answer.

Learn more about transformation here:

https://brainly.com/question/11352944

#SPJ1

Answer:

8 7/14 - 9/14= 55/7

7 - 5/9 = 58/9

6 17/20 - 4 =  57/20

Required area of the composite figure is 69 cm²

What is area of a composite shape?

the area covered by any composite shape. A composite shape is a shape in which some polygons are put together to form the required shape is called the area of composite shapes . These figures can consist of combinations of triangles, rectangles, squares etc. To determine the area of composite shapes, divide the composite shape into basic shapes such as square, rectangle,triangle, hexagon, etc.

Basically, a compound shape consists of basic shapes put together. This is also called a "composite" or "complex" shape. This mini-lesson explains the area of compound figures with solved examples and practice questions.

Here in this figure, we have two figures.

First one is rectangle and second one is triangle.

Length and breadth of the rectangle are 12 cm and 4 cm respectively.

So, area = Length × Breadth = 12 × 4 = 48 cm²

Again height of the triangle is (11-4) = 7 cm and base of the triangle is (12-6) = 6 cm.

So, area of the triangle = 1/2 × 7 × 6 = 3×7 = 21 cm²

Now if we add both area of rectangle and triangle then we will get area of the composite figure.

So, required area of the composite figure is ( 48+21) = 69 cm²

Therefore, option A is the correct option.

Learn more about composite figure here,

https://brainly.com/question/10254615

#SPJ1

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

Learn more about the five-number summary on:

https://brainly.com/question/24809873

#SPJ1

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

To know more about Demand Matrix here

https://brainly.com/question/13012912

#SPJ4

The expression to represent the total area as the sum of the areas of each room is: 108 + 36 = 9x + 12x

To represent the total area as the sum of the areas of each room, we can expand the expression 12(9 + 3) and rewrite it in the form of the sum of the areas.

12(9 + 3) can be simplified as follows:

12(9 + 3) = 12 x 9 + 12 x 3

This is equivalent to:

108 + 36

Therefore, the expression to represent the total area as the sum of the areas of each room is:

108 + 36 = 9x + 12x

where x represents the area of each room.

Learn more about Expression here:

https://brainly.com/question/28170201

#SPJ1

The probability of drawing a second black card, given that the first one is black, is 1/4.

From the question, the events are :

A: Drawing a second black card

B: Drawing a first black card

Note that we are given:

P(A and B) = 1/14 (probability of drawing two black cards without replacement)

P(B) = 2/7 (probability of drawing one black card)

Hence. the conditional probability formula will be:

P(A|B) = P(A and B) / P(B)

Based on the above, we fix in the value:

P(A|B) = (1/14) / (2/7)

= (1/14) x (7/2)

= 7/28

= 1/4

Therefore, the probability of drawing a second black card, given that the first one is black, is 1/4.

Learn more about probability  from

https://brainly.com/question/24756209

#SPJ1

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

for such more question on data set

https://brainly.com/question/27358262

#SPJ8