Does a ratio compare two fractions

The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.

To calculate the relative change from Ohio to Indiana in terms of new mathematics teachers, we need to determine the percentage increase or decrease in the number of teachers between the two states.

The relative change can be calculated using the formula:

Relative Change = (New Value - Old Value) / Old Value * 100

Let's apply this formula to the given data:

Ohio: Old Value = 4392

Indiana: New Value = 6546

Relative Change = (6546 - 4392) / 4392 * 100

Simplifying the equation:

Relative Change = 2154 / 4392 * 100

Relative Change ≈ 0.4908 * 100

Relative Change ≈ 49.08%

The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.

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Answer:

0.956

Step-by-step explanation:

The smallest value among the given numbers is 0.956.

Answer:

0.956

Step-by-step explanation:

To make this problem more clear, I will take every number and find what two numbers it's between.

3.11

Between 3 and 4

0.956

Between 0 and 1

4.21

Between 4 and 5

10.1

Between 10 and 11

Since 0.956 is between the smallest numbers, then it too must be the smallest of the four numbers.

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The difference in height between the two trees is 29 inches.

To find the difference in height between the two trees, we need to subtract the height of one tree from the height of the other tree.

Let's convert the measurements to a consistent unit, such as inches, for easier calculation.

The first tree is 12 feet 8 inches tall. In inches, this is calculated as:

12 feet [tex]\times[/tex] 12 inches/foot + 8 inches.

= 144 inches + 8 inches

= 152 inches.

The second tree is 15 feet 1 inch tall.

In inches, this is calculated as:

15 feet [tex]\times[/tex] 12 inches/foot + 1 inch = 180 inches + 1 inch = 181 inches.

Now we can find the difference in height by subtracting the height of the first tree from the height of the second tree:

181 inches - 152 inches = 29 inches.

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For the following piecewise-defined function the answers are:

(a) f(-2) = -6

(b) f(2) = 4

(c) f(4) = 16

(d) f(9) = 1

To find the values of the piecewise-defined function at different points, we evaluate each case separately.

(a) For f(-2), we need to evaluate the function at x = -2. Since -2 is less than -1, we use the first case: f(x) = 3x. Plugging in x = -2, we have f(-2) = 3(-2) = -6.

(b) For f(2), we again evaluate the function at x = 2. Since 2 falls within the range -1 ≤ x ≤ 8, we use the second case: f(x) = x^2. Plugging in x = 2, we have f(2) = 2^2 = 4.

(c) For f(4), we evaluate the function at x = 4. Again, 4 falls within the range -1 ≤ x ≤ 8, so we use the second case: f(x) = x^2. Plugging in x = 4, we have f(4) = 4^2 = 16.

(d) For f(9), we need to evaluate the function at x = 9. Since 9 is greater than 8, we use the third case: f(x) = x - 8. Plugging in x = 9, we have f(9) = 9 - 8 = 1.

The answers are:

(a) f(-2) = -6

(b) f(2) = 4

(c) f(4) = 16

(d) f(9) = 1

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The store at which the apple will cost the cheapest is: Store A

The formula for the slope between two coordinates is:

Slope = (y₂ - y₁)/(x₂ - x₁)

Now, all the lines in the attached graph pass the origin and so they will all have the coordinate (0, 0)

The slope for each line will give us the cost for each apple in the store.

Thus:

Slope for store A = (3 - 0)/(4 - 0)

Cost for store A apple = $0.75

Slope for Store B = (5 - 0)/(5 - 0)

Cost for store B apple = $1

Slope for Store C = (5 - 0)/(4 - 0)

Cost for store C apple = $1.25

Slope for Store D = (6 - 0)/(3 - 0)

Cost for store C apple = $2

Thus, store A has the cheapest Apple

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The two compositions between the functions are:

To do so, just evaluate one of the functions into the other one.

We start with:

g(x) = 8/x

The composition of g and g will be:

g(g(x)) = 8/(g(x)) = 8/(8/x) = x

And for the case of h(x) = x² + 9 we will get:

h(h(x)) = h(x)² + 9 = (x² + 9)² + 9

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Answer:

There are 20 presents in total, and 3 of them contain gems.

The probability of randomly selecting a present that contains a gem is 3/20 = 0.15 or 15%.

Let's denote:

- The number of lower box tickets as x.

- The number of upper box tickets as y.

From the problem, we have the following two equations:

1. x + y = 442 (because the total number of tickets purchased is 442)

2. 12.50x + 10y = 4750 (because the total amount of money spent is $4750)

We can solve this system of equations to find the values of x and y. There are a few methods to solve this system, but I'll use substitution here.

First, let's solve the first equation for x:

x = 442 - y

Now, let's substitute x in the second equation:

12.50(442 - y) + 10y = 4750

5510 - 12.50y + 10y = 4750

5510 - 2.50y = 4750

2.50y = 5510 - 4750

2.50y = 760

y = 760 / 2.50

y = 304

Substitute y = 304 in the first equation:

x + 304 = 442

x = 442 - 304

x = 138

So, 138 lower box tickets and 304 upper box tickets were purchased.

a) The probability that exactly five consumers prefer to purchase electronics online is: 0.2604.

b) The probability that more than five consumers prefer to purchase electronics online is: 0.3624.

c) The probability that at most five consumers prefer to purchase electronics online is: 0.6376.

(a) The binomial probability formula is expressed as:

P(X = k) = ([tex].^{n} C_{k}[/tex]) * [tex]p^{k}[/tex] * [tex](1 - p)^{n - k}[/tex]

where:

n = number of trials

k = number of successes

p = probability of success

We are given:

n = 8

k = 5

p = 0.45

Thus,

P(X = 5) = (8C5) * (0.45)⁵ * (1 - 0.45)⁽⁸⁻⁵⁾

P(X = 5) ≈ 0.2604

(b) To find the probability that more than five consumers prefer to purchase electronics online is:

P(X > 5) = P(X = 6) + P(X = 7) + P(X = 8)

P(X > 5) = [(⁸C₆) * (0.45)⁶ * (0.55)²] + [(⁸C₇) * (0.45)⁷ * (0.55)¹] + [(⁸C₈) * (0.45)⁸ * (0.55)⁰]

P(X > 5) ≈ 0.3624

(c) To find the probability that at most five consumers prefer to purchase electronics online is:

P(X ≤ 5) = 1 - P(X > 5)

P(X ≤ 5) ≈ 1 - 0.3624

P(X ≤ 5) ≈ 0.6376

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Answer:

Combining the like terms in the expression 9 + a - 5b - 2, we can group the constants together and the variables together:

(9 - 2) + a + (-5b) = 7 + a - 5b

Therefore, the equivalent expression after combining the like terms is 7 + a - 5b.

Step-by-step explanation:

Answer:

[tex]\displaystyle{x^2+y^2=5}[/tex]

Step-by-step explanation:

Given the polar equation of:

[tex]\displaystyle{r^2 =5}[/tex]

We know that 'r' represents the radius which equals to:

[tex]\displaystyle{r = \sqrt{x^2+y^2}}[/tex]

Therefore, by substitution, we have:

[tex]\displaystyle{\left(\sqrt{x^2+y^2} \right)^2=5}[/tex]

Cancel the square root:

[tex]\displaystyle{x^2+y^2=5}[/tex]

Therefore, the cartesian equation is:

[tex]\displaystyle{x^2+y^2=5}[/tex]

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Based on your annual review score of 3.4, you would receive a merit increase of 2.5%.

To determine the merit increase based on your annual review score of 3.4, we need to calculate the increase increment based on the given scale.

First, we need to determine the number of 0.4-point increments between your score of 3.4 and the baseline score of 2.6, which is the starting point for merit increases. The difference is 3.4 - 2.6 = 0.8.

Since the merit increases go up by 1% for every 0.4 points, we divide the difference of 0.8 by 0.4 to find the number of 0.4-point increments:

0.8 / 0.4 = 2

So, there are 2 increments of 0.4 points.

Next, we calculate the merit increase percentage. The baseline increase is 0.5%, and it increases by 1% for each 0.4-point increment. Since we have 2 increments, the increase percentage would be:

0.5% + 2 * 1% = 0.5% + 2% = 2.5%

Therefore, based on your annual review score of 3.4, you would receive a merit increase of 2.5%.

It's important to note that this calculation assumes a linear progression of merit increases based on the given criteria. The actual merit increase policy may vary depending on company practices and policies.

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The statement that can be proven true from the diagram include the following: B. ∠DGB is supplementary to ∠CGB.

In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that only the sum of these angles are supplementary angles:

m∠DGB + m∠CGB = 180°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The function c(n) = (4)^(n-1) does not represent the number of likes each day based on the given information.

The given function c(n) = (4)^(n-1) represents the number of likes on the video on each day, where n is the number of days since the video was posted.

We are told that on the first day, there were 100 likes. Therefore, we can substitute n = 1 into the function and solve for the constant factor:

c(1) = (4)^(1-1) = 4^0 = 1

Since c(1) represents the number of likes on the first day and it is given as 100, we can equate it with the value obtained from the function:

1 = 100

However, this equation is not true. Therefore, the function c(n) = (4)^(n-1) does not represent the number of likes each day based on the given information.

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Answer:

Standard form: f(x) = -x^2 + 6x + 16

Step-by-step explanation:

Identifying the function:

General equation of a quadratic's standard form:

The general equation for the standard form of a quadratic function is given by:

f(x) = ax^2 + bx + c

Method to find the standard form of the equation of f(x):

We can find either the vertex form or the intercept form, whose general equations are given by:

Vertex form:  f(x) = a(x - h)^2 + k, where

Intercept form: f(x) = a(x - p)(x - q), where

Connection between the vertex and intercepts forms and the standard form:

Identifying the vertex:

Finding the vertex form:

Thus, we have part of the vertex form:  f(x) = a(x - 3)^2 + 25.

Thus, we can plug in (-2, 0) for (x, f(x)) in the vertex form to find a:

0 = a(-2 - 3)^2 + 25

0 = a(-5)^2 + 25

0 = a * 25 + 25

(0 = 25a + 25) - 25

(-25 = 25a) / 25

-1 = a

Thus, -1 is a in the vertex form.

Therefore, the full vertex form is given by:

f(x) = -(x - 3)^2 + 25

Convert from vertex form the standard form:

Now we can convert to standard for by expanding:

f(x) = -(x - 3)(x - 3) + 25

f(x) =-(x^2 - 3x - 3x + 9) + 25

f(x) = -x^2 + 3x + 3x - 9 + 25

f(x) = -x^2 + 6x + 16

Thus, the standard form of the equation of f(x) is f(x) = -x^2 + 6x + 16

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

The accurate statement about the graph is: Point D is a y-intercept of the graph.

Based on the given graph of y = -x + 1, the following statements about the graph are accurate:

Point A is a relative minimum of the graph:

False.

Point A is located at (-2, 3), and it is not the lowest point on the graph. Moving to the left or right of point A, the graph continues to decrease.

Point B is a turning point of the graph:

False.

Point B is not a turning point.

It is located at (-1, 2), and the graph does not change its direction or slope at this point.

Point C is a maximum of the graph:

False.

Point C is located at (2, -2), and it is not the highest point on the graph. Moving to the left or right of point C, the graph continues to increase.

Point D is a y-intercept of the graph:

True.

Point D is located at (0, 1), and it lies on the y-axis.

This point represents the y-intercept of the graph, where the value of x is zero.

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Answer:

----------------------

Let the number of one-dollar coins be x and two-dollar coins be y.

Number of coins is 38:

Total worth of the coins is 54 dollars:

We have a system of equations. Solve it by elimination, subtract the equations side-by-side:

Find the value of x by substituting 16 for y:

The answer is

Explanation:

Total number of coins = 38

let number of one dollar coins be a

number of two dollar coins be b

Then,

a + b = 38

a = 38 - b .......(equation 1)

Also The total worth of the coins is 54 dollars.

a + 2b = 54 ......(equation 2)

Put equation 1 in equation 2 ,

a + 2b = 54

38 - b + 2b = 54

Move all terms containing b to the Left hand side of the equation.

-b + 2b = 54 - 38

b = 16

Now put value of b in equation 1.

a = 38 - b

a = 38 - 16

a = 22

Hence,

a. The data is approximately symmetric about

b. The mean, median and mode will be close to 8 .

c. Mean =8.35 ; Median =8 ; Mode is 8 .

First  The histogram of the data can be constructed using excel steps as follow:

Enter the data in to excel sheet.

Select the data and go to insert>chart>insert statistic chart> histogram.

The histogram thus obtained as: [See in attachment]

Step 2: The histogram has a long tail to its right side; therefore, the shape of the histogram is positively skewed. Since, the distribution is positively skewed, therefore, mean will be greater than median, median can be greater than or equal to mode that is -

Mean > Median > Mode

The sample mean of the data can be obtained as -

Mean (x) = [tex]\frac{\sum_{i=1}^{n} X_{i}}{n}[/tex]

= (5 + ...+8)/20

= 8.35

Hence the sample mean is 8.35

Next

Arranging the data into ascending order  -

5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 11, 12

The data points are in even form.

Thus, the required median of the data can be obtained as -

Median = [(n/2)th term + ((n/2) + 1)th term]/2

= [(20/2)th term + ((20/2) + 1)th term]/2

= [(10)th term + ((11)th term]/2

= (8+8)/2

= 8

Tus, the mode =  8

Next

recall that

Mode is the most occurring value of a data set.

8 is occurring the most ( 7 times), therefore, the mode of the data is 8 .

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       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

y=12.5x+25

Step-by-step explanation:

y intercept where x =0 is 25

gradient between two points: (0,25) , (8,125)

(y2-y1)/(x2-x1) = 100/8 = 12.5

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Step-by-step explanation:

To perform a chi-squared test for goodness of fit in Python and obtain the P-value and test statistic, you can use the scipy.stats module. Here's an example script that calculates the chi-squared test and prints the P-value and test statistic:

pythonCopy code

from scipy.stats import chi2_contingency # Observed frequencies from the first survey observed_freq_1 = [55, 30, 15] # Expected frequencies based on the proportions in the second survey total_students_2 = 500 expected_freq_2 = [total_students_2 * 0.55, total_students_2 * 0.3, total_students_2 * 0.15] # Perform chi-squared test chi2, p_value = chi2_contingency([observed_freq_1, expected_freq_2]) # Print the results print("Test statistic:", chi2) print("P-value:", p_value)

In this script, we use the chi2_contingency function from scipy.stats to perform the chi-squared test. We provide the observed frequencies from the first survey and the expected frequencies based on the proportions in the second survey. The function returns the test statistic and P-value, which we then print.

Note that this chi-squared test assumes that the observed and expected frequencies are independent. It also assumes that the expected frequencies are not too small (typically, no expected frequency should be less than 5) for the test to be valid.

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

Find the equation of the line that passes through the points A and B.

[tex]A=(4,5)\\\\B=(2,1)\\\\\\\hrule[/tex]

To find the equation of a line given two points, you can use the point-slope form of a linear equation, which is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where...

To find the equation, follow these steps:

(1) - Determine the coordinates of the two points on the line. Let's call them (x₁, y₁) and (x₂, y₂).

(2) - Calculate the slope, "m," using the formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

This calculates the change in y divided by the change in x between the two points.

(3) - Substitute the slope, "m," and the coordinates of one of the points (x₁, y₁) into the point-slope form equation.

(4) - Rearrange the equation to get it into slope-intercept form. Which is written as:

[tex]y=mx+b[/tex]

Where...

[tex]\hrulefill[/tex]

Step (1) -

[tex](x_1,y_1) \rightarrow (4,5)\\\\(x_2,y_2) \rightarrow (2,1)[/tex]

Step (2) -

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\\\Longrightarrow m=\dfrac{1-5}{2-4} \\\\\\\\\Longrightarrow m=\dfrac{-4}{-2} \\\\\\\\\therefore \boxed{m=2}[/tex]

Step (3) -

[tex]y-y_1=m(x-x_1); \ (x_1,y_1) \rightarrow (4,5) \ and \ m=2\\\\\\\\\Longrightarrow \boxed{y-5=2(x-4)}[/tex]

Step (4) -

[tex]y-5=2(x-4)\\\\\\\\\Longrightarrow y-5=2x-8 \ \text{(Applied the distributive property)}\\\\\\\\\Longrightarrow y-5+5=2x-8+5\\\\\\\\\therefore \boxed{\boxed{y=2x-3}}[/tex]

Thus, the problem is solved.

Hello !

Answer:

[tex]\Large\boxed{\sf y=2x-3}[/tex]

Step-by-step explanation:

The slope-intercept form of a line is of the form [tex]\sf y=mx+b[/tex] where m is the slope and b is the y-intercept.

The line passes through two points :

- A(4,5)

- B(2,1)

Let's replace x and y with their values in the equation :

[tex]\begin{cases}\sf 5=4m+b \\\sf 1=2m+b\end{cases}[/tex]

We get a system of two linear equations to solve.

Let's subtract the second line from the first one and solve for m :

[tex]\sf 5-1=4m+b-2m-b\\\iff 4=2m\\\iff m=\frac{4}{2}\\\iff \boxed{\sf m=2}[/tex]

Now let's substitute 2 for m in the second equation :

[tex]\sf 1=2\times2+b\\b=1-4\\\boxed{\sf b=-3}[/tex]

The slope-intercept form of the line is :

\boxed{\sf y=2x-3}

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Answer:

3b(2[tex]a^{2}[/tex] - [tex]b^{2}[/tex])

Step-by-step explanation:

The sample variance is approximately 44.79 and the sample standard deviation is approximately 6.692.

To find the sample variance and standard deviation, follow these steps:

1. Calculate the mean of the data set:

  Mean (μ) = (22 + 11 + 4 + 9 + 10) / 5 = 56 / 5 = 11.2

2. Calculate the difference between each data point and the mean, and square each difference:

  [tex](22 - 11.2)^2 = 121.00 \\(11 - 11.2)^2 = 0.04 \\(4 - 11.2)^2 = 51.84 \\(9 - 11.2)^2 = 4.84 \\(10 - 11.2)^2 = 1.44[/tex]

3. Calculate the sum of all the squared differences:

  121.00 + 0.04 + 51.84 + 4.84 + 1.44 = 179.16

4. Calculate the sample variance:

  Variance [tex](s^2)[/tex] = sum of squared differences / (n - 1)

                 = 179.16 / (5 - 1)

                 = 179.16 / 4

                 = 44.79

5. Calculate the sample standard deviation:

  Standard Deviation (s) = square root of the variance

                         = √44.79

                         ≈ 6.692

Therefore, the sample standard deviation is about 6.692, while the sample variance is about 44.79.

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Each person will receive X/32 peanuts if Joe has 1/2 of a bag of peanuts and wants to share them equally among his 3 friends.

If Joe has 1/2 of a bag of peanuts, we need to determine the total number of peanuts in the bag. Since the bag is divided equally among Joe and his 3 friends, there are a total of 1 + 3 = 4 equal portions to distribute.

To find out how many peanuts are in each portion, we divide 1/2 by 4. Dividing 1/2 by 4 gives us 1/8. Therefore, each portion contains 1/8 of the bag.

Next, we need to determine the number of peanuts in 1/8 of the bag. To do this, we multiply the number of peanuts in the whole bag by 1/8. Let's assume there are X peanuts in the whole bag. So, we have X * 1/8 peanuts in each portion.

Finally, to find out the number of peanuts each person gets, we divide the number of peanuts in each portion by the number of people (Joe and his 3 friends). Therefore, each person receives (X * 1/8) / 4 = X/32 peanuts.

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Step-by-step explanation:

....  + b      b is the y value where the graph crosses the y axis....you didn't include the graph, so YOU will have to complete this