11) (A) a t-interval for a difference between means for independent samples.
12) the appropriate t-statistic is (C) 1.98.
13) option (c)
What is the central limit theorem?The central limit theorem is a principle in probability theory that states that the distribution of sample means will eventually approximate a normal distribution as the sample size becomes larger.
11) The type of study being conducted by Ron is a completely randomized design, where he randomly assigns the two types of golf balls (new and current) to two separate groups and then compares the mean driving distances between the two groups.
The appropriate t-interval for inference is (A) a t-interval for a difference between means for independent samples.
12) To test the hypothesis of whether there is a significant difference in mean driving distance between the new golf balls and the old golf balls, we need to calculate the appropriate t-statistic.
The formula for the t-statistic for a difference between means for independent samples is:
[tex]t = (x_1 - x_2) / [s1^2/n1 + s_2^2/n_2]^{0.5}[/tex]
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes for the two groups.
Using the given data, we have:
x1 = 203.5 yards, x2 = 197.4 yards
s1 = 5.6 yards, s2 = 10.3 yards
n1 = n2 = 30
Substituting these values into the formula, we get:
[tex]t = (203.5 - 197.4) / [(5.6)^2/30 + 10.3^2/30]^{0.5} = 1.98[/tex]
Therefore, the appropriate t-statistic is (C) 1.98.
13) The correct statement about the study being conducted by Ron is (C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual samples of balls will be approximately normal.
Hence, The answers to the question:
11) (A) a t-interval for a difference between means for independent samples.
12) the appropriate t-statistic is (C) 1.98.
13) option (c)
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Answer: c
Step-by-step explanation:
Calculate the lengt line x
Answer:
90
Step-by-step explanation:
sebastian is creating a rectangular garden in his backyard. the length is 11 feet. the perimeter of the garden must at least be 56 feet and no more than 76 feet. what is the width of the garden must at least be?
The garden must be at least 17 feet wide.
Let's use w to represent the garden's breadth.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.
Assuming that the length is 11 feet, the expression for the perimeter can be written as follows:
P = 2(11) + 2w = 22 + 2w
The perimeter is stated to be at least 56 feet and not to exceed 76 feet. Hence, we can create the inequality shown below:
56 ≤ 22 + 2w ≤ 76
When we take 22 out of every aspect of the inequality, we get:
34 ≤ 2w ≤ 54
By multiplying every aspect of the inequality by 2, we obtain:
17 ≤ w ≤ 27
Thus, the garden must be at least 17 feet wide.
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Dennis charges $1.75 for gasoline plus $7.50 per hour for mowing lawns. Which inequality represents xx, the number of hours Dennis must work to earn at least $100?
Dennis must work for at least 10.81 hours to earn at least $100.
What is inequality in mathematics?
An inequality in mathematics is a statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
For example, x < 5 is an inequality that says that the value of x is less than 5. Another example is y ≥ 2x + 3, which is an inequality that says that the value of y is greater than or equal to 2 times x plus 3.
Inequalities are often used to describe ranges of values, such as the set of all numbers that are less than or equal to 5 (written as x ≤ 5) or the set of all numbers that are greater than 2 and less than 7 (written as 2 < x < 7). Inequalities can be solved, graphed on a number line, and used to make comparisons between values or expressions.
Let's start by writing an expression for the total amount of money Dennis earns in x hours:
Total earnings = 1.75x + 7.5x
Simplifying this expression, we get:
Total earnings = 9.25x
Now, we want to find the inequality that represents the number of hours Dennis must work to earn at least $100. We can set up the inequality as follows:
9.25x ≥ 100
This inequality states that Dennis must earn at least $100, which is represented by the value on the right-hand side of the inequality. The left-hand side of the inequality represents Dennis's earnings, which we found to be 9.25x. Since we want to find the minimum number of hours Dennis must work to earn at least $100, we need to solve for x:
9.25x ≥ 100
x ≥ 100/9.25
Simplifying the right-hand side of the inequality, we get:
x ≥ 10.81
Therefore, the inequality that represents the number of hours Dennis must work to earn at least $100 is:
x ≥ 10.81
This means that Dennis must work for at least 10.81 hours to earn at least $100.
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(a) determine The area under the standard normal curve that lies between Z= -1.83 and Z= 0 is
As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.
what is area ?Area is the overall space occupied by a three-dimensional object's surface. Square units like square meters or square feet are used to quantify it. By adding up the areas of all an item's faces or surfaces, the surface area of the object can be calculated. For instance, since a cube has six faces, the surface area of a cube can be determined by finding the area of one face and multiplying it by six. Similar to this, one can determine the surface area of a sphere by calculating the area of its surface using the formula 4r2, where r is the sphere's radius.
given
To determine the region under the standard normal curve between Z=-1.83 and Z=0, we can use a standard normal chart or a calculator.
Using a normalised standard table:
Z=-1.83 corresponds to a region of 0.0336. (from the table).
The region is 0.5 to the west of Z= 0. (from the table).
Therefore, 0.5 - 0.0336 = 0.4664 is the region between Z= -1.83 and Z= 0.
Calculator usage
Calculator's normalcdf algorithm can be used to determine the region between Z=-1.83 and Z=0. We calculate normalcdf(-1.83, 0) = 0.4664 using the tool.
As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.
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The Murray family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:4
Step-by-step explanation:12/3
Janice and Siti packed 146 cookies altogether. Janice and Huiling packed 374 Cookies altogether. Huiling packed 3 times as many cookies as Siti. How many cookies did Janice pack?
Janice packed 32 cookies.
What is system of equations?A system of equations is a set of two or more equations that are to be solved simultaneously. The solutions to a system of equations are the values that satisfy all the equations in the system. There are different methods to solve systems of equations, such as substitution, elimination, and graphing. Systems of equations are used in many areas of mathematics, science, engineering, and economics to model and solve real-world problems.
What is the substitution method?Substitution method is a common technique for solving systems of equations. In this method, one equation is solved for one of its variables in terms of the other variable, and then the expression for that variable is substituted into the other equation. This results in an equation in one variable that can be solved using algebraic methods. Once the value of one variable is found, it can be substituted back into one of the original equations to solve for the other variable.
In the given question,
Let's use a system of equations to solve the problem:
Let x be the number of cookies Janice packed.
Let y be the number of cookies Siti packed.
Let z be the number of cookies Huiling packed.
From the problem, we know:
x + y = 146 (equation 1)
x + z = 374 (equation 2)
z = 3y (equation 3)
We can use equation 3 to substitute z in equation 2:
x + 3y = 374
We can then use equation 1 to substitute y in the new equation:
x + (146 - x)/2 * 3 = 374
Simplifying and solving for x, we get:
x + 219 - 3x/2 = 374
2x/2 - 3x/2 = 374 - 219
-x/2 = 155
x = -2 * 155
x = -310 (discard this solution)
Since we can't have negative number of cookies, we discard the solution x = -310. Therefore, we can conclude that Janice packed:
x = 146 - y
x = 374 - z
z = 3y
Substituting z in the second equation, we get:
x = 374 - 3y
Substituting this expression for x in the first equation, we get:
374 - 3y + y = 146
Simplifying and solving for y, we get:
-2y = -228
y = 114
Therefore, Siti packed 114 cookies, and since Janice and Siti packed 146 cookies altogether, we have:
x + y = 146
x + 114 = 146
x = 32
So Janice packed 32 cookies.
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Julio wears a blue shirt every 3 days. Larry wears a blue shirt every 4 days.on April 12 ,both Julio and Larry wore blue shirt.what is the next date that they will both wear a blue shirt?
Answer:
Step-by-step explanation:
We need to find the least common multiple (LCM) of 3 and 4, which will give us the number of days after which both Julio and Larry will wear a blue shirt on the same day again.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...
We can see that the least common multiple of 3 and 4 is 12, because it is the smallest number that appears in both lists.
This means that Julio and Larry will wear a blue shirt on the same day every 12 days.
Since they both wore blue shirts on April 12, the next date that they will both wear a blue shirt is 12 days later, on April 24.
Answer:
To find the next date that they will both wear a blue shirt, we need to find the least common multiple (LCM) of 3 and 4, which is 12.
So, Julio will wear a blue shirt on April 12, 15, 18, 21, and so on.
Larry will wear a blue shirt on April 12, 16, 20, 24, and so on.
The next date they will both wear a blue shirt is when their dates coincide, which is April 24.
Therefore, Julio and Larry will both wear a blue shirt again on April 24.
Step-by-step explanation:
Consider that over 3.8 inches of rain fell in Lansing, Michigan on Monday, August 11th, 2016 from 11 AM to 2 PM. News reporters want to know if that sets the record for the city. In 1905, a record 1.2 inches of rain fell each hour for 3 hours. Which is the greater rainfall? please hurry
Answer:
lansing Michigan has more rain
Step-by-step explanation:
Which of the following functions has a greater average rate of change on the interval (0, 2) than the function shown in the graph?
The average rate of change on that interval is r = 7/3.
What is the average rate of change on the interval?For any function f(x), we define the average rate of change on an interval [a, b] as
r = ( f(b) - f(a))/(b - a)
here, we have,
In this case, the interval is [0, 6], using the graph we can find the values of the function for these inputs:
f(0) = -8
f(6) =6
Replacing that we get:
r = (6 - (-8))/(6 - 0)
r = (6 + 8)/6
r = 14/6
r = 7/3
The average rate is 7/3.
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if the volume of the cylinder is 120in3, what is the volume of cone?
Volume of the cone is 1/3 of the volume of the cylinder, so volume of the cone = 40in³.
What is the volume of a cylinder and cone?One-third of the volume of a cylinder is the formula for the volume of a cone. The product of the base area and the height is used to calculate a cylinder's volume. As a result, the formula for a cone's volume is given as V = (1/3) r²h, where "h" stands for the cone's height and "r" for its base radius.
A cylinder's volume is determined by how many unit cubes (cubes of the same length) can fit inside of it. It is the area the cylinder takes up, just as any three-dimensional shape's volume is the area it occupies.
We are aware that a circle serves as the base of a right circular cylinder and that r² is the area of a circle of radius r. As a result, using the formula above, V = r²h is the right circular cylinder's volume.
Now in the given question, volume of the cylinder = 120in³.
Volume of cone = 1/3(volume of the cylinder)
= 1/3 × 120
40in³.
Therefore, volume of the cone = 40in³.
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need help with problem 3 need test stastic and p value
Note that with respect to the above problem,
The z-score is 3.22The P-value is 0.001The conclusion is that there is evidence that the two proportions differ at the 0.10 significance level. (Option A)What is the justification for the above response?Plan:
Let P1 be the proportion for the treatment group (low-fat diet), and P2 the proportion for the control group (normal diet).
State the hypotheses for your test:
H₀: P1 = P2 (There is no significant difference in the proportion of women with a family history of breast cancer between the low-fat and normal diet groups)
Ha: P1 ≠ P2 (There is a significant difference in the proportion of women with a family history of breast cancer between the low-fat and normal diet groups)
To test this claim, we can use a two-sample z-test for proportions. We calculate the test statistic as follows:
z = (p1 - p2) / sqrt(p*(1-p)*(1/n1 + 1/n2))
where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and p is the pooled proportion. The pooled proportion is calculated as:
p = (x1 + x2) / (n1 + n2)
where x1 and x2 are the number of successes in each sample.
Using the given data, we have:
p1 = 1642/3311 = 0.495
p2 = 1480/3176 = 0.466
n1 = 3311
n2 = 3176
x1 = 1642
x2 = 1480
p = (1642 + 1480) / (3311 + 3176)
p = 0.480
Then, the test statistic is:
z = (0.495 - 0.466) / sqrt(0.480*(1-0.480)*(1/3311 + 1/3176))
z = 3.22
Using a standard normal distribution table or calculator, we find the p-value associated with a two-tailed z-score of 3.22 is approximately 0.001.
Therefore, the p-value is 0.001.
Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that there is a significant difference in the proportion of women with a family history of breast cancer between the low-fat and normal diet groups.
Answer: The difference between the sample proportions is significant at the 0.10 significance level. Therefore, we reject the null hypothesis and conclude that there is evidence that the two proportions differ.
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dose anyone know this i have know idea what it is ??
Answer:
212.5ft^2
Step-by-step explanation:
First, go ahead and find the area of the total square. To do this, multiply the length by the height (15*15) to get 225. This is not our final answer, but it will help us solve the problem later.
Next, we need to find the area of the lower-left triangle that is cut off. To do this, we will find the side lengths of just that section. Because the left side of the square and the right side are the same total length, we can just subtract 10 from 15 to get a length of 5.
Now, to find the area of the triangle we will use b*h/2:
5*5/2=12.5
All that's left is to subtract this area from the initial area (225) to get our final answer of 212.5ft^2.
Find the value of x in the equation below.
=[
Answer: =
17 = 5
Slimit Answer
O Search
The value of x in the equation below 18 = x - 10 is equal to 28.
What is an expression?In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).
Based on the information provided above, we have the following mathematical expression:
18 = x - 10
By rearranging and collecting like-terms, we have the following:
x = 18 + 10
x = 28.
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Complete Question:
Find the value of x in the equation below. 18 = x - 10
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS
for a f(5) is 1 and f(7) is 1/4
for b the domain is 16-1/4
for c the value is decreasing by 1/2 every time
If x= 3 and y = 4, find the value of: x + y
J
Please answer ASAP
x= 3 and y = 4
so :
x + y = 3 + 4 = 7
Answer : 7
If f(x) = 2/3x^2 + 8x, what is the value of f(6)?
Answer:198
Step-by-step explanation:
15+15+15+!5
f(6)=72
Explanation:
to evaluate f(6) substitute x = 6 into f(x)
f(6)=2/3×(6x6x6x6x6x6)+(8×6)
=2/3×36+48
24+48=72
72 is your answer
The function f(x) = -x^4 + 3 does not have an absolute maximum. TRUE OR FALSE?
Answer:
False.
Step-by-step explanation:
The equation f(x) = [tex]-x^4[/tex] + 3 has a maximum interval of (0, 3).
First simplify the equation:
f(x) = [tex]-4x^3[/tex]
Then find the intervals:
Increasing -∞<x<0, Decreasing 0>x>∞
Plug x = 0 into [tex]-x^4[/tex]+3: 3
Therefore the maximum interval of [tex]f(x) = -x^4 + 3[/tex] is (0, 3)
Which of these areas is getting the least precipitation?
Answer:
A. Lancaster
Lancaster is on the edge of the yellow area.
Answer the statistical measures and create a box and whiskers plot for the following set of data. 3 , 4 , 6 , 8 , 10 , 10 , 13 , 13 , 13 , 14 , 15 , 16 , 17 , 17 3,4,6,8,10,10,13,13,13,14,15,16,17,17 Min: Q1: Med: Q3: Max:
The statistical measures for this set of data are as follows:
Minimum: 3
First Quartile (Q1): 8
Median: 13
Third Quartile (Q3): 16
Maximum: 17
What is data?Data is information that has been collected and organized to be used for a purpose. It can include numbers, words, images, or any other type of information. Data is used to answer questions, solve problems, and inform decisions. Data can come from a variety of sources such as surveys, experiments, and observations.
A box and whiskers plot can be used to display the distribution of the data set. The box and whiskers plot will use the minimum, maximum, Q1, median and Q3 values to create a visual representation of the data set. The box in the box and whiskers plot is bound by the Q1 and Q3 values, with the median value being represented as a horizontal line inside the box. The whiskers are lines that extend from the box to the minimum and maximum values. The points outside the whiskers are considered outliers in the data set.
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What are the possible values for
From the diagram you know that the triangles have two pairs of congruent corresponding sides, that LM< _, and that m
Please imma give brainlest
Help
Measure of ∠K in triangle KLM by open mouth theorem is ∠K < 90°.
What is open mouth theorem?The open mouth theorem states that if two sides of a triangle are congruent with two sides of another triangle, and the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
Given,
two triangles KLM and NOP
KL≅NO and KM≅NP
LM = 7, OP = 9
LM < OP
By open mouth theorem
m∠K < m∠N
m∠N = 90°
m∠K < 90°
Hence, m∠K < 90° is the value of angle K, in triangle KLM
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please solve i really need help
The growth rate of the plant shown in the graph is 1/2 centimeter per week
Calculating the growth rate of the plant in the graphFrom the question, we are to determine the growth rate of the plant
To determine the growth rate of the plant, we will determine the slope of the line
To determine the slope of the line passing through the points (1, 1/2) and (3, 1 1/2), we can use the slope formula:
Slope = (Change in y) / (Change in x)
We first calculate the change in y by subtracting the y-coordinate of the first point from the y-coordinate of the second point:
Δy = 1 1/2 - 1/2 = 1
Next, we calculate the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point:
Δx = 3 - 1 = 2
Finally, we can calculate the slope by dividing the change in y by the change in x:
Slope = Δy / Δx = 1 / 2
The slope of the line is 1/2.
Hence, the growth rate is 1/2 centimeter per week
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A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. Provide the final answer as a percent rounded to one decimal place.
Answer: The empirical rule for normal distributions states that for a normal distribution with mean μ and standard deviation σ:
Approximately 68% of the data falls within one standard deviation of the mean, i.e., in the interval (μ - σ, μ + σ).
Approximately 95% of the data falls within two standard deviations of the mean, i.e., in the interval (μ - 2σ, μ + 2σ).
Approximately 99.7% of the data falls within three standard deviations of the mean, i.e., in the interval (μ - 3σ, μ + 3σ).
In this problem, the mean is μ = 20 points and the standard deviation is σ = 3 points. To estimate the probability that the player scored less than 26 points, we need to find the z-score for the value 26, which is given by:
z = (x - μ) / σ = (26 - 20) / 3 = 2
Using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Therefore, the probability that the player scored less than 26 points is approximately:
P(X < 26) = P(Z < 2) ≈ 0.9772
Converting to a percentage and rounding to one decimal place, we get:
P(X < 26) ≈ 97.7%
Therefore, the estimated probability that the player scored less than 26 points in a randomly selected game is 97.7%.
Step-by-step explanation:
Need. help asap ........................
Answer: 135x
Step-by-step explanation: I did this and got it right
Answer:
The answer is 135
Step-by-step explanation:
Always use PEMDAS when solving so this id what you do
P (parenthesis): 12-2 = 10
E (exponent): [tex]3^{3}[/tex] = 3x3x3 = 27
M (multiply): 10x27= 270
D (divide): 270 divided by 2 = 135
*There is no addition and subtraction in the equation so you dont have to use them*
I hope this helped you!!
please solve this im in a rush −6(a + 8)
Answer:
-6a - 48
Step-by-step explanation:
−6(a + 8)
= -6a - 48
So, the answer is -6a - 48
Answer: -6a - 48
Step-by-step explanation: distribute -6
What are the relative minimum and relative maximum values over the interval [1, 5] for the function shown in the graph?
Responses
a. relative minimum = −3, relative maximum = −14
b. relative minimum = 1.5, relative maximum = 4.5
c. relative minimum = 1.5, relative maximum = −3
d. relative minimum = −14, relative maximum = −3
Answer:
d
Step-by-step explanation:
As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3
Answer:
d) relative minimum = −14, relative maximum = −3
Step-by-step explanation:
The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.
From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.
Therefore:
Relative minimum = -14Relative maximum = -3About how many cups or juice does this container hole? Hint: 1 cup=14.44in^3)
The number of cups or juice in this container hole if 1 cup=14.44in³ is 23.49 cups.
How many cups or juice does this container hole?Volume refers to the unit of a three-dimensional measure of space that comprises a length, a width and a height. It is measured in units of cubic centimeters in metric, cubic inches or cubic feet.
Volume of a cylinder = πr²h
Where,
π = 3.14
r = diameter/2
= 6 in/2
= 3 in
h = 12 in
So,
Volume of a cylinder = πr²h
= 3.14 × 3² × 12
= 339.12 cubic inches
Recall,
Hint: 1 cup=14.44in³
Therefore,
No of cups in the container hole = 339.12 cubic inches/ 14.4 cubic inches
= 23.49 cups
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(20) The images below show a picture of Ricoffy tin container with no dimensions indicated. The container is 2,5 times smaller than what it is in reality. Diameter of the tin on the picture = ? Height of the tin on the picture = ? Actual weight of coffee = 750 g 1.1 Measure the diameter of the tin in mm and write down the real diameter in mm (3)
The diameter and height in the picture are 2/5D and 2/5H, respectively
How to determine the diameter and height in the pictureFrom the question, we have the following parameters that can be used in our computation:
Container = 2/5 smaller than in reality
This means that
Scale factor = 2/5
So, we have
Diameter = 2/5D where D = diameter in reality
Also, we have
Height = 2/5H where H = height in reality
Hence, the height in picture is 2/5H
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Solve the system by substitution.
x = y
4x +9y=-39
Answer:
this question is knd a hard
x = y
4x + 9y = -39
4x + 9x = -39
13x = -39 /÷13
x = -3
∴ x = -3, y = -3
Use the percent formula, A=PB, where A is P percent of B, to answer the following question. What is 29% of 10?
The value of 29% of the number 10 will be 2.9.
What is the percentage?The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The value of 29% of 10 is calculated as,
⇒ 29% of 10
⇒ 0.29 x 10
⇒ 2.9
The value of 29% of the number 10 will be 2.9.
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Sheila has 5 meters of decorative ribbon she cuts 2 3/4 meters to wrap a present then she cuts off 0.9 meters to make a bracelet how much ribbon does she have left
By answering the above question, we may state that We still have the expressions same problem because this result is negative once more.
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
Sheila began with five metres of ribbon and chopped off two and a half to wrap a gift. This may be written as a mixed number:
[tex]2 3/4 = (2 * 4 + 3)/4 = 11/4[/tex]
So, she still has 5 to 11/4 metres of ribbon.
She takes off 0.9 metros of the bracelet's ribbon before cutting it.
She now has the following total quantity of ribbon left:
[tex]5 - 11/4 - 0.9 = 20/4 - 11/4 - 9/10 = (100 - 110 - 36)/20 = -46/20 = -23/10[/tex]
In light of the issue, the outcome is negative, which is illogical.
[tex]5 - 2 3/4 - 0.9 = 5 - 11/4 - 9/10 = (100 - 110 - 36)/20 = -46/20 = -23/10[/tex]
We still have the same problem because this result is negative once more.
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