If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.
In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.
The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.
If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.
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If line BG⃡ and CF⃡ are parallel, then LD→ i proportional to MD→. I thi tatement correct? Explain your anwer
Yes, this statement is correct because in quadrilaterals if two lines are parallel, then the other two sides have to be equal in length.
Triangles that are equal in all ways and interchangeable are typically described as being congruent.
A triangle with equal legs, such as an isosceles triangle, may have equal legs that are also equal to the two equal legs of another triangle with equal legs, but if the included angle is different, the triangles are not congruent.
Two sides are simply equal if their lengths are the same.
When it comes to parallelograms, both opposite side pairs are equal and parallel.
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2. It take one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizza will you need?
Answer:
12
Step-by-step explanation:
1 -----> 3
?------>36
By make Cross
36*1/3 =12
Yochanan walked from home to the bu top at an average peed of
mph. He immediately got on hi chool bu and traveled at an average peed of
mph until he go to chool. The total ditance from hi home to chool i
mile, and the entire trip took
hour. The following ytem of equation repreent thi:
Distance covered by Yochanan by walking = 5 km
Distance covered by Yochanan by bus = 30 km
Given the values in the question,
The average speed of Yochanan when he walked to the bus stop from home = 5 km/h
The average speed of the bus till Yochanan reached his school = was 60 km/h
The total distance between his school from home = is 35 km
Time is taken by the entire trip = 1.5 hours
Relation between Distance, Time, and speed,
⇒ Average Speed = [tex]\frac{Distance}{Time}[/tex]
Let us consider that Yochanan walked = a km
The bus travelled = 35 - a
We know that the total time is constant so,
⇒ T = T1 + T2
⇒ 1.5 = [tex]\frac{x}{5} + \frac{35-a}{60}[/tex]
Solving for a,
⇒ 1.5 = [tex]\frac{12a + 35 - a}{60}[/tex]
⇒ 11 a + 35 = 90
⇒ 11 a + 55
⇒ a = 5
The distance covered by Yochanan by walking = a = 5 km
Distance covered by bus = 35 - a
= 35 - 5
= 30 km
Therefore, the distance covered by Yochanan by walking = is 5 km, distance covered by Yochanan by bus = is 30 km
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Yochanan walked from home to the bus stop at an average speed of 5 km/h he immediately got on his school bus and traveled at an average speed of 60 km/h until he got to school. the total distance from his home to school is 35 kilometers, and the entire trip took 1.5 hours. how many kilometers did Yochanan cover by walking, and how many kilometers did he cover by traveling on the bus? Yochanan walked kilometers and traveled kilometers on the bus.
Conider the following function. (If an anwer doe not exit, enter DNE. ) f(x) = e^−x2
The function has no vertical asymptotes and the horizontal asymptotes of the function is y=0.
In the given question,
Consider the following function.
f(x) = e^{−x^2}
We have to find the vertical asymptote(s), x = Find the horizontal asymptote(s) or y = .
As we know that, a vertical asymptote is a line that runs vertically and guides the graph of the function but does not actually exist on it. Due to its position at an x-value that is outside of function's domain, it is difficult for the curve to ever pass it.
The function f(x) = e^{−x^2} has no undefined points. So the function has no vertical asymptotes.
The limit of the function at x→±∞ is calculated as follows:
[tex]\lim_{x\rightarrow \pm\infty }[/tex]f(x) = [tex]\lim_{x\rightarrow \pm\infty }[/tex]e^{−x^2}
[tex]\lim_{x\rightarrow \pm\infty }[/tex]f(x) = 0
So the horizontal asymptotes of the function is y=0.
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The right question is:
Consider the following function. (If an answer does not exist, enter DNE.) f(x) = e^{−x^2}. Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x = Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)
y =
A translation 5 units right and 3 units down, then a reflection across x = 0 is applied to the point (5, –1). Where is the image in the coordinate system?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Answer:
it would be quadrant |||
so answer choice C
Step-by-step explanation:
Determine the sign of the solution of ax+b=cx+d in each situation. Justify your reasoning with a graph.
a. 0 < b < d and a < c b. d < b < 0 and a < c
The sign change of the expression ax + b = cx + d in the conditions are solved to be
a. 0 < b < d and a < c
negative solutionb. d < b < 0 and a < c
positive solutionHow to determine the sign changeThe given expression is
ax + b = cx + d
comparing the conditions
a. 0 < b < d and a < c
here b is non negative number and less than d a is also less than c. hence
ax + b = cx + d
ax - cx = d - b
ax - cx will be negative
d - b will be positive
this will lead to a negative solution since positive divided by negative give negative
b. d < b < 0 and a < c
ax + b = cx + d
ax - cx = d - b
d - b = negative
ax - cx = negative
negative dividing negative is positive hence a positive solution
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The following is an example of what type of sequence? 3, 11, 19, 27, 35… a. geometric c. ratio b. arithmetic d. difference Please select the best answer from the choices provided A B C D
Answer:
b) arithmetic
Step-by-step explanation:
Knowledge Needed
c and d are not valid sequence types.
Geometric Sequences are when the values of terms are found by multiplying the previous term's value by the same number.
Example:
1, 2, 4, 8, 16
x2
2, 6, 18, 54, 162
x3
20, 10, 5, 2.5, 1.25
x0.5
Arithmetic Sequences are when the values of terms are found by adding the previous term's value by the same number.
Example:
5, 6, 7, 8
+1
7, 19, 31, 43
+12
9, 6, 3, 0
-3
Question
Examine the sequence. From viewing the first 2 terms, we know that it can either be a geometric sequence that multiplies by 11/3 every time the term increases or an arithmetic sequence that adds 8 every time the term increases.
Looking at the 2nd and 3rd term, we know it is an arithmetic sequence because 19 is not equal to 11 times 11/3.
someone help me i hate log functions
Answer:
Step-by-step explanation:
[tex]log_{10}(2000xy)-(log_{10}x})(log_{10}y)=4\\\\log_{10}(2000(xy))-log_{10}(xy)=4\\\\log_{10}(2000)+log_{10}(xy)-log_{10}(xy)=4\\\\log_{10}(2(1000)=4\\\\log_{10}2+log_{10}(1000)=4\\\\log_{10}2+log_{10}(10^3)=4\\\\log_{10}2+3log_{10}(10)=4\\\\log_{10}2\approx0.3\\\\Hence,\\\\log_{10}2+3\neq 4[/tex]
[tex]log_{10}(2yz)-(log_{10}y)(log_{10}z)=1\\\\log_{10}(2(yz))-log_{10}(yz)=1\\\\log_{10}2+log_{10}(yz)-log_{10}(yz)=1\\\\log_{10}2\neq 1[/tex]
[tex]log_{10}(zx)-(log_{10}z)(log_{10}x)=0\\\\log_{10}(zx)-log_{10}(zx)=0\\\\0\equiv0[/tex]
Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
$
per gallon
Answer: $0.08
Step-by-step explanation:
First, let's find last week's price
Take 35.40 divided by 12 = $2.95 per gallon
Next, find this week's price
Take 25.83 divided by 9 = $2.87 per gallon
Then take 2.95 - 2.87 = $0.08
Jaon went hopping
He bought a watch and a pair of trainer for a total price of £53. 55
Thi price include a 15% loyalty dicount
Before the dicount, the trainer were priced at £38
Work out the price of the watch before the dicount
The price of the watch before the discount is calculated to be £24.44.
As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;
discount on a pair of trainers = 15/100 × 38 = £5.7
cost of trainers after discount = £38 - 5.7 = £32.3
Now the price of the watch after the discount can be calculated by subtraction as follows;
price of watch after discount = total price - price of trainers after discount
price of watch after discount = £53. 55 - £32.3
price of watch after discount = £21.25
Now the price of the watch before the discount can be calculated as follows;
price of watch before discount = £21.25 × 15/100
price of watch before discount = £21.25 + £3.1875
price of watch before discount = £24.44
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Jiya’ mother i 12 year more than twice her age. After 8 year, her mother’ age will be 20 year le than three time her age. Find Jiya’ age and her mother’ age
The present age of Jiya whose mother 12 year more than twice her age., is sixteen years and her mother present age is fourty-four years.
We have, Jiya's mother is 12 year more than twice of her age. Let "x years" and "y years" be the present age of Jiya and her mother respectively.
According to problem, 12 + 2x = y --(1)
After 8 years, her mother age = 20 years less then three times of her age.
After 8 years, age of Jiya = (x+8) years.
i.e y + 8 = 3( x+8) - 20 --(2)
we have to calculate the present ages of both. Simplify the equation (2),
y + 8 = 3x + 24 - 20
=> y + 8 = 3x + 4 => y = 3x -4 --(3)
eqution (1) and (3) represent the linear equations so, we solve these linear equations by substitution,
plugging the value of y from( 1) to (3),
12 + 2x = 3x -4
=> 3x - 2x = 12+4
=> x = 16 then y = 12 + 2×16 = 44
Hence, Jiya's age is 16 years and her mother is about 44 years.
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A tree, which i approximately 80% of it full height, i preently 60 feet tall. How tall will the tree be when it i fully grown?
The tree will be 75 feet tall when it will be fully grown.
The total tree height is the distance between the tree's base and its highest point on the ground. A yardstick provides a quick and relatively accurate way to gauge the height of a tree.
If the tree is currently 60 feet tall and is approximately 80% of its full height, we can assume that the tree will be 100% of its full height when it is fully grown. To determine the full height of the tree, we can use the proportion:
60 feet / 80% = X feet / 100%
We can then cross-multiply to solve for X:
X = (60 feet * 100%) / 80%
= 75 feet
So, when the tree is fully grown, it will be approximately 75 feet tall.
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Michael’s skateboard was 1 toy out of 50 that Santa had on his sleigh. What percentage is this?
Answer: 18
Step-by-step explanation:
there you go <3
HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the first circle, the measure of angle ABC is 24°
In the second circle, the measure of angle ABC is 20°
Circle Geometry: Calculating the measure of anglesFrom the question, we are to determine the measure of angle ABC
In the first diagram,
The measure of the arc is 48°
From one of the circle theorems, we have that
The angle subtended by an arc in a circle is twice the angle subtended at the circumference.
Then, we can write that
2 × ∠ ABC = 48°
∠ ABC = 48°/2
∠ ABC = 24°
Question 5
Using the same theorem,
The angle subtended by an arc at the center of the circle is twice the angle subtended at the circle
∠ ABC = 1/2 × 40°
∠ ABC = 20°
Hence, the measure of the angle is 20°
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What is the actual length of the wings of thethe airplane from tip to tip?
Answer:
68cm
Step-by-step explanation:
Because the scale factor is 2, which means the drawing is 2 times smaller than the actual airplane, multiply 34, the length of the wings tip to tip in the drawing by 2.
34 x 2 = 68
Answer: 68 meters
(Hope I'm correct, but read the explanation to make sure)
Step-by-step explanation:
Let's start with what we know. We know that the scale factor is 2, so in our model, from tip to tip, it is 34 cm. However, since the scale factor is 2:
34 * 2 = 68 meters
Find the value of z such that 0.12 of the area lies to the right of z. Round your answer to two decimal places.
Answer:
Step-by-step explanation:
To find the value of z such that 0.12 of the area lies to the right of z, we need to know the distribution of the data and the total area under the curve. If the data follows a normal distribution, the area under the curve is always 1, and 0.12 of the area corresponds to a z-value of approximately 0.84.
We can use a standard normal table or a calculator to find the exact value of z. For example, using a standard normal table, we can find that the z-value corresponding to an area of 0.12 to the right of z is 0.8416.
Therefore, the value of z such that 0.12 of the area lies to the right of z is approximately 0.84.
What value of x is in the solution set of the inequality 9(2x 1) < 9x – 18? –4 –3 –2 –1
The value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18 is -4.
Inequality is defined as relationship between non-equal numbers or expressions. The solution set of an inequality is the set of values that satisfies the given inequality.
To determine the solution set of the given inequality, isolate the variable to one side and simplify.
9(2x + 1) < 9x - 18
18x + 9 < 9x - 18
18x - 9x < -18 - 9
9x < -27
x < -3
x = (-∞, -3)
Hence, the solution set of the given inequality is the set of numbers less than -3. Among the given choices, only -4 is less than -3. Therefore, the value of x is -4.
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Answer: -4
Step-by-step explanation: edge2020
Evelyn Everest gave property to her mother Sharon when the adjusted basis of the property was $12,000 and the fair market value was $80,000. Sharon died eight months later when the property was valued at $85,000 and she left the property to Evelyn. What is Evelyn’s basis? If Sharon had died more than a year after receiving the gift when the fair market value was $85,000, what would the basis have been to Evelyn?
Evelyn basis is the adjusted market value of the property and the basis would have been to Evelyn as profit
What is adjusted basis?We should know that adjusted basis is the value of a property after deducting all expenses and taxes from the property.
The Adjusted basis of the property was $12,000
It was given to Sharon at fair value of $80,000
After death of Sharon, the property was worth $85,000
Based on these figures, the basis is a gain of $(85000-80000) to to Evelyn
In conclusion, Evelyn has gained the sum of $(85000-12000)=$73000
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5b. State the domain and range for each graph below. Then state whether or not it is a function.
suppose the probability of finding a prize in your cereal box is 0.990.99. what are the odds of finding a prize? express your answer in the form a:ba:b.
If you assume that there is a 0.990.99 percent chance that you will find a prize in the cereal box, the odds are 99:1.
In mathematics, what does fundamental probability mean?A probability is a measure of how likely or likely it is that a certain event will occur. Probabilities can be represented as percentages between 0% and 100% as well as proportions between 0 and 1.
Probability's significanceHow likely an event is to occur is determined by the concept of probability. For instance, meteorologists can predict the possibility of rain by looking at weather patterns. In epidemiology, probability theory is used to understand the relationship between exposures as well as the risk of health effects.
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The um of two number i 92. Their difference i 20. Find the number. Let x and y repreent the 2 number. Let x=the lager value and urge maller value
The sum of two number is 92. Their difference i 20Let x and y represent the 2 number. Let x=the lager value and smaller valuex = 92 + 20 = 11,y = 92 - 20 = 72
Let x = the larger value and y = the smaller value.
We know that the sum of x and y is 92, so
x + y = 92
We also know that the difference between x and y is 20, so
x - y = 20
Add the two equations to get
2x = 112
Divide by 2 to get
x = 112
Substitute x = 112 into the first equation to get
112 + y = 92
Subtract 112 from both sides to get
y = 72
Therefore, the two numbers are x = 112 and y = 72.
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3 DECENT & QUICK MATH QS! PRATICALLY FREE 35 POINTS! HURRY PLS!!
The real and imaginary parts of the three complex numbers are:
Real part: - 7, Imaginary part: 0Real part: 5, Imaginary part: 2√6Real part: 37, Imaginary part: 0How to determine the real and imaginary component of a complex number.
In this question we find three case of complex numbers, that is, numbers of the form z = a + i b, where a, b are real coefficients and i = √(- 1). The coefficient a corresponds to the real part of the complex number and the coefficient b is its imaginary part. Now we proceed to analyze each of the three cases:
Case 1: - 7
The number - 7 is equivalent to - 7 + i 0, where - 7 is the real part and 0 is the imaginary part.
Case 2: 5 - √(- 24)
First, we rewrite the entire expression in standard form:
5 - √(- 24)
5 - √[(- 1) · 24]
5 - √(- 1) · √24
5 - i √24
5 - i 2√6
The real part is 5 and the imaginary part is 2√6.
Case 3: (6 - i) · (6 + i)
We expand and simplify the resulting expression:
(6 - i) · (6 + i)
6 · (6 - i) + i · (6 - i)
36 - i 6 + i 6 - i²
(36 - i²)
36 + 1
37
37 + i 0
The real part is 37 and the imaginary part is 0.
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Answer:
The real and imaginary parts of the three complex numbers are:Real part: - 7, Imaginary part: 0Real part: 5, Imaginary part: 2√6Real part: 37, Imaginary part: 0How to determine the real and imaginary component of a complex number.In this question we find three case of complex numbers, that is, numbers of the form z = a + i b, where a, b are real coefficients and i = √(- 1). The coefficient a corresponds to the real part of the complex number and the coefficient b is its imaginary part. Now we proceed to analyze each of the three cases:Case 1: - 7The number - 7 is equivalent to - 7 + i 0, where - 7 is the real part and 0 is the imaginary part.Case 2: 5 - √(- 24)First, we rewrite the entire expression in standard form:5 - √(- 24)5 - √[(- 1) · 24]5 - √(- 1) · √245 - i √245 - i 2√6The real part is 5 and the imaginary part is 2√6.Case 3: (6 - i) · (6 + i)We expand and simplify the resulting expression:(6 - i) · (6 + i)6 · (6 - i) + i · (6 - i)36 - i 6 + i 6 - i²(36 - i²) 36 + 137 37 + i 0The real part is 37 and the imaginary part is 0.
Step-by-step explanation: hope this helps0^0
A construction company is building a roof on a house. The horizontal distance from the edge of the
roof to the peak is 25 feet. The vertical distance from the edge of the roof to the peak is 6.25 feet. What is the slope of
the roof? Write in the simplest form.
The slope of the roof is 0.25
What is a slope ?
A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change. No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).
The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.
The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. And b is the value of b at the y-intercept (0, b).
To find slope
= 6.25 / 25
= 0.25
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if a country has a natural increase rate of 2.0 percent, how long will it take to double its population?
It will take 35 years to double the population
What is Percent ?Percentages are just fractions with a denominator of 100. To show that a number is a percentage, we place the percent sign (%) next to it. For instance, if you properly answered 68 out of 100 questions on a test, you would have received a 68% grade (68/100).
According to the given information
Let [tex]P(0)[/tex] be initial population
and K be the growth rate
Then Population of the country after t years
[tex]P = P(0)e^{Kt}[/tex]
Let x be the present population
2x will be the double of present population
And we know
The growth rate K = 0.02%
So
The value of t could be determined as follows
[tex]xe^{0.02t}=2x[/tex]
[tex]e^{0.02}=2[/tex]
[tex]0.02t=ln(2)[/tex]
Multiply both sides by 1000
0.02t × 1000 = ln(2) × 1000
Refine
20t = ln(2) × 1000
Divide both sides by 20
[tex]\frac{20t}{20}=\frac{ln(2).1000}{20}[/tex]
t = [tex]ln(2).500[/tex]
t = 0.693×50
t = 34.65 years
t = 35 years
It will take 35 years to double the population
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Given a
system,
3y=x+21
y+2/3x = 10
a. Solve graphically.
Be sure to state the
exact coordinates.
b. Check the solution by substituting into
both equations.
The solution to the system of linear equations 3y = x + 21 and y + 2/3x = 10
is (x, y) = (3, 8)
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
From the question, we have the following parameters that can be used in our computation:
In this case, the system of equations is given as
3y = x + 21
y + 2/3x = 10
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (3, 8)
Hence, the solution is (3, 8)
Checking the solutionIn (a), we have
The lines intersect at (3, 8)
This means that
(x, y) = (3, 8)
So, we have
3 * 8 = 3 + 21 = 24
y + 2/3 * 3 = 10
The above equations are true
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Please help me respond this question
Answer: Median is 12, mode is 5, mean is 13.71
Step-by-step explanation:
Answer:
The median is 18
The mode is 5
The mean is 13
Step-by-step explanation:
The area of a rectangle i 42 quare millimeter. The length i 7 millimeter. What i the perimeter of the rectangle?
millimeter
The area of a rectangle is 42 quare millimeter. The length is 7 millimeter. 28 millimeters is the perimeter of the rectangle.
Perimeter = 2 × (Length + Width)
Perimeter = 2 × (7 + 6)
Perimeter = 28 millimeters
To calculate the perimeter of a rectangle, we need to multiply the length and the width of the rectangle, and then multiply that value by 2. In this case, the length is 7 millimeters, and the area is 42 square millimeters. To calculate the width, we can divide the area by the length, which is 42 divided by 7, which is equal to 6. So the width is 6 millimeters. Now we can calculate the perimeter using the formula: Perimeter = 2 × (Length + Width). Plugging in the values, we get: Perimeter = 2 × (7 + 6) = 28 millimeters.
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Challenge A large university accepts 40% of the students who apply. Of the students the university accepts, 50% actually
enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll.
Help me please
Answer: 6000 students
Step-by-step explanation:
First, we find the 40% that the university accept
40% = 0.4
Take 30000 times 0.4 = 12000 students got accept
Now we find the 50%
50% = 0.5
Take 12000 times 0.5 = 6000 students
6000 students would actually enroll
Amy, Becky and Chloe went shopping.
Becky spent only 15% of what Chloe spent.
However, Amy spent 60% more than Chloe.
Together they spent £55.
How much did Amy spend?
Let's say Chloe spent X
Then Amy spent 60% more so Amy spent
X+60% of X =X + 0.6X =1.6X
Becky spent 15% of what Chloe spent so amount spent by Becky =15% of X = .15X
Now, in total, they spent 0.15X+ X + 1.6X =2.75X which is given as £55
So , X=55/2.75 = 20
Amount spent by Amy = 1.6X = 1.6 *20 =£32
is this parallel, perpendicular, or neither?