There are 128 students who do not like any of these vegetables.
How to solve this problem?
To solve this problem, we can use the principle of inclusion-exclusion. We start by adding up the number of students who like each vegetable:
Number who like brussels sprouts = 64
Number who like broccoli = 94
Number who like cauliflower = 58
Next, we subtract the number of students who like more than one vegetable once:
Number who like both brussels sprouts and broccoli = 26
Number who like both brussels sprouts and cauliflower = 28
Number who like both broccoli and cauliflower = 22
We can't just subtract the number who like all three vegetables once, since we have now subtracted them twice (once for each pair of vegetables). So we need to add them back in once:
Number who like all three vegetables = 14
Now we can calculate the number of students who like at least one vegetable:
Number who like at least one vegetable = 64 + 94 + 58 - 26 - 28 - 22 + 14
Number who like at least one vegetable = 154
Finally, to find the number of students who do not like any of these vegetables, we subtract this from the total number of students:
Number who do not like any of these vegetables = 282 - 154
Number who do not like any of these vegetables = 128
Therefore, there are 128 students who do not like any of these vegetables.
Learn more about vegetables
brainly.com/question/11972819
#SPJ11
what is 2x+3=5x-7
what is x worth?
hi! im curently going over notes in my math class.... and need to finsish them for my major...
Answer:
x=10/3
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. The force is 0.052 Newtons when the distance between the objects is 1.6 metres. Work out d (rounded to 2 DP) when F = 0.74 Newtons.
Answer:
\(D = 0.42m\)
Step-by-step explanation:
Given
Force = 0.052 N when Distance = 1.6 m
Required
Find Force; when distance = 0.74 N
The question says force is inversely proportional to square of distance;
Let F represent Force and D represent Distance;
Mathematically;
\(F\alpha \frac{1}{D^2}\)
Convert proportion to equation
\(F = \frac{k}{D^2}\)
Where k is the proportionality constant; This means that k is always constant
Make k the subject of formula
\(F * D^2 = \frac{k}{D^2} * D^2\)
\(FD^2 = k\)
When F = 0.052 and D = 1.6; the value of k is as follows
\(0.052 * 1.6^2 = k\)
\(0.13312 = k\)
\(k = 0.13312\)
When F = 0.74;
Recall that k is always constant; so \(k = 0.13312\)
To solve for D, we'll make use of \(F = \frac{k}{D^2}\)
Substitute \(k = 0.13312\) and F = 0.74;
\(0.74 = \frac{0.13312}{D^2}\)
Multiply both sides by D²
\(0.74 * D^2 = \frac{0.13312}{D^2} *D^2\)
\(0.74 * D^2 = 0.13312\)
Divide both sides by 0.74
\(\frac{0.74 * D^2}{0.74} = \frac{0.13312}{0.74}\)
\(D^2 = \frac{0.13312}{0.74}\)
\(D^2 = 0.17989189189\)
Take square roots of both sides
\(D = \sqrt{0.17989189189}\)
\(D = 0.42413664294\)
\(D = 0.42m\) (Approximated)
What is the coefficient in the algebraic expression 5x + 2
Answer:
5
Step-by-step explanation:
Coefficient is the number attached to a variable .
Pls mrk me brainliest i need to get the next rank
On a leveled ground, the base of a tree is 20m far from bottom of a 4. 8m long flagpole. At a certain time, their shadows end at the same point, which is 60m far from the base of the flagpole. Find the height of the tree
The height of the tree is 6.4m
the difference is that in one case the shadow of the tree is 60 - 20 = 40 m, and in the other case it is 60 + 20 = 80 m long.
anyway, for a certain angle of the sunlight we know the shadow of the pole is 60 m long, which creates with the 4.8 m height a right-angled triangle, with the line of sight from the top of the pole to the ground end of the shadow being the Hypotenuse or radius for or trigonometric triangle in a circle.
the shadow length (60 m) is sine of the sunshine angle multiplied by the radius.
the height (4.8 m) is cosine of that sunshine angle multiplied also by that radius.
Pythagoras gets us the radius for the pole triangle :
radius² = 60² + 4.8² = 3600 + 23.04 = 3623.04
radius = sqrt(3623.04) = 60.19169378... m
sin(angle) × radius = 60
sin(angle) = 60/radius = 0.996815279...
angle = 85.42607874...°
the sunshine creates with the tree also a right-angled triangle with the same sunshine angle (the sun is so far away, that the tiny, tiny difference is irrelevant, we can simply assume the angles are equal).
but the shadow is of different length (sin(angle)×radius), which means also the radius for the tree triangle has to be different. and that defines the height of the tree (cos(angle)×radius).
but now we know the angle, and we can reverse calculate the side lengths.
but the question is (as mentioned at the beginning) : is the tree shadow 40 m or 80 m long.
we have therefore 2 solutions for the height of the tree.
1. the shadow is 40 m long.
sin(angle) × radius = 40
radius = 40/sin(angle) = 40.12779585... m
tree height = cos(angle)×radius = 3.2 m
2. the shadow is 80 m long.
sin(angle) × radius = 80
radius = 80/sin(angle) = 80.25559171... m
tree height = cos(angle)×radius = 6.4 m
know more about height and distance click here;
https://brainly.com/question/15939509
#SPJ4
PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER
Answer:
18
Step-by-step explanation:
mark me as
brainliest
18
Answer:
144 ounces
Step-by-step explanation:
The sum of five times a number and 5 is 13. Find the number.
Answer:
5x+5=13
Step-by-step explanation:
Sum=addition
five times a number= 5(any number)
is 13: =13
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
For more questions on Value.
https://brainly.com/question/843074
#SPJ8
PLEASE HELP IT WORTH 50 points!!!!!
Answer:
(x-3) (x-2)
Step-by-step explanation:
\(x^{2}\) - 5x + 6
How to break down the equation and factorise it:
-3 x -2 = 6
-3 + -2 = -5
Final Answer:
(x-3) (x-2)
m/4 =
m/5=
m/1 =
m/3 =
m/2=
m/6=
m/7=
Here are the angles and their values:
m∠1 = 63.5°m∠2 = 124°m∠3 = 29.5°m∠4 = 90°m∠5 = 54°m∠6 = 116.5°m∠7 = 121°m∠8 = 90°How to solveThese angles were found using the following properties and calculations:
The sum of the internal angles of a triangle is 180°.
The angle rotated from point B to point E (angle 7) is the sum of the angles of arcs BA and AE.
In isosceles triangles, the angles opposite equal sides are equal.
A straight line has an angle of 180°.
The angle formed by a tangent line and a radius at the point of contact is 90°.
Read more about angles here:
https://brainly.com/question/25716982
#SPJ1
3. Consider K(w) = 0.2 for w€ [0. p], K(w) = 0.1 for w€ (p. p + 1], and K(w) = -0.15 otherwise. Assuming that E (K) = 0 find p.
Therefore, p = 0.33. Thus, the value of p is 0.33.
Given,
K(w) = 0.2 for w€ [0. p],
K(w) = 0.1 for w€ (p. p + 1],and
K(w) = -0.15 otherwise.
It is known that E(K) = 0
We need to find the value of p. Calculation of E(K)
E(K) = ∫₀^p (0.2)w dw + ∫ₚ^(p+1) (0.1)w dw + ∫_(p+1)^∞ (-0.15)w dw
E(K) = 0.1p² + 0.1p + (-0.15)(∞² - (p+1)²) - 0.2(0.5p²)
Since
E(K) = 0,0 = 0.1p² + 0.1p - 0.15(∞² - (p+1)²) - 0.1p²0.1p² - 0.1p² + 0.15(∞² - (p+1)²) = 0.1p
Simplifying the above equation
0.15(∞² - (p+1)²) = 0.1p2.25∞² - 2.25p² - 1.5p - 2.25 = 0
Multiplying by -4 to simplify the equation
9p² + 6p - 9∞² + 9 = 0
On solving, we get,
{-1 - (4*(-9)(-9² + 9))/2*9, -1 + (4*(-9)(-9² + 9))/2*9}{-16, 0.33}
Therefore, p = 0.33. Thus, the value of p is 0.33.
To know more about function visit:
https://brainly.com/question/29752390
#SPJ11
There are 150,000 households in Market City. A local phone repair shop takes a random sample of 50 households and finds that the average number of phones per household from the sample last year that needed to be repaired was 1.05 ± 0.23. Which of the following is an estimate of the total number of phones that needed repairing last year in Market City?
Between 82 and 128 phones
Between 123,000 and 192,000 phones
Between 105 and 23 phones
Between 157,500 and 34,500 phones
The correct answer is Between 157,500 and 968,187 phones.
Which of the following best describes the approximate number of phones in Market City ?The average number of phones per household from the sample from the previous year that required repair was 1.05 0.23. This suggests that the range for the genuine population mean () might be between 1.05 - 0.23 = 0.82 and 1.05 + 0.23 = 1.28 phones per home.Since the sample size was 50 households, the estimate of the total number of phones that needed repairing last year in Market City can be calculated as follows:Estimate = 50 * (1.05 + 1.05) / 2 = 52.5Estimate = 52.5 * 150,000 = 7,875,000Therefore, an estimate of the total number of phones in Market City that required repair last year ranges from 7,875,000 - 7,875,000 * 0.23 = 6,068,125 to 7,875,000 + 7,875,000 * 0.23 = 9,681,875 phones.Therefore, the correct answer is between 157,500 and 968,187 phones.To learn more about estimation refer:
brainly.com/question/28416295
#SPJ1
What is the length of s?
Answer:
s = 10\(\sqrt{2}\)
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin45° = \(\frac{\sqrt{2} }{2}\) , then
sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{s}{20}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )
2s = 20\(\sqrt{2}\) ( divide both sides by 2 )
s = 10\(\sqrt{2}\)
Convert 99% to a decimal
Answer:
Ya the other guys correct
Step-by-step explanation:
(only answering so u can give the other guy brainlyist)
How can data displays be used to compare two sets of data? Select all that apply. They quickly illustrate measures of center. They quickly illustrate measures of center. They identify all the data points in each data set. They identify all the data points in each data set. They show trends in data that can be compared. They show trends in data that can be compared. They display measures of variability for each data set. They display measures of variability for each data set. They easily show the mean of each data set.
Answer:
Step-by-step explanation:
A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.
Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. Each downloaded song costs $1.19. Write and solve an inequality to determine how many songs Jose can purchase. What does the solved inequality represent?
With the $10 gift card, Jose can buy at most 9 songs.
With the $10 gift card, Jose can buy 9 or more songs.
With the $10 gift card, Jose can buy at most 8 songs.
With the $10 gift card, Jose can buy 8 or more songs.
Answer:
Option C: With the $10 gift card, Jose can buy at most 8 songs.
Step-by-step explanation:
First, lets use s as our variable for the number of songs.
Then, we write an inequality: 1.19s ≤ 10
This inequality means that the product of 1.19 times the number of songs must always be less than or equal to 10.
Then, simply substitute s for your number of songs and test if the inequality holds true. If it does not, then the answer is wrong.
The reason answer C is correct is because if s = 8, the inequality would read as 9.52 ≤ 10 which is true.
Answer:
c
Step-by-step explanation:
The Answer please!!!
The depth of a ship wreck is 120 feet below sea level. Which integer represents this elevation? +120 −120
Answer:
-120
Step-by-step explanation:
Answer:
YOUR ANSWER SHOULD BE -120
Step-by-step explanation:
heres why
becuase i said so
and we already asume its at 0 so if u go 120- 0 what do u get u get -120
so thats why
Anna’s bank gives her a loan with a stated interest rate of 10.22%. how much greater will anna’s effective interest rate be if the interest is compounded daily, rather than compounded monthly? a. 0.5389 percentage points b. 0.1373 percentage points c. 0.4926 percentage points d. 0.0463 percentage points please select the best answer from the choices provided a b c d
Option c. 0.4926. The effective interest rate with daily compounding is 0.4926 percentage points higher than with monthly compounding.
The viable financing cost is the genuine measure of revenue that Anna pays, considering the building recurrence. To look at the successful loan fee when the interest is accumulated day to day versus month to month, we can utilize the equation:
Viable financing cost = (1 + (expressed loan fee/n))^n - 1
where n is the quantity of intensifying time frames each year. For month to month compounding, n = 12, and for everyday compounding, n = 365.
Connecting the qualities, we get:
For month to month compounding: (1 + (0.1022/12))^12 - 1 = 0.1066 or 10.66%
For everyday compounding: (1 + (0.1022/365))^365 - 1 = 0.1115 or 11.15%
The contrast between the two powerful loan costs is 0.1115 - 0.1066 = 0.0049 or 0.49%, which is around 0.4926 rate focuses. In this manner, the right response is (c) 0.4926 rate focuses.
To learn more about rate of interest, refer:
https://brainly.com/question/4064975
#SPJ4
Line m has the equation y=−13x−2. Line k is parallel to line m and passes through the points (0,4) and (9,a) . What is the value of a ?
The required value of "a" would be 3.
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
As per the question, we have
Line m has the equation y = −13x − 2
Here slope of line m = -13
The slope of the given line m will be -13,
Line k passes through the points (0,4) and (9, a).
The slope of line k = (a - 4)/(9-0)
The slope of line k = (a - 4)/9
Given line m and line k are both perpendicular to each other,
We know that two lines are perpendicular if the product of their slopes is -1.
So, -13 × (a - 4)/9 = -1
⇒ -13a + 52 = 13
⇒ 13a = 52 - 13
⇒ 13a = 39
⇒ a = 39/13
⇒ a = 3
Therefore, the required value of "a" would be 3.
Learn about the perpendicular lines here :
https://brainly.com/question/18271653
#SPJ1
4. What is the axis of symmetry for h(x) = 19(x – 5)^2 + 6
Answer:
x = 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k ) are the coordinates of the vertex and a is a multiplier
h(x) = 19(x - 5)² + 6 ← is in vertex form
with vertex (h, k ) = (5, 6 )
The axis of symmetry is a vertical line passing through the vertex
with equation x = 5
the probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random. complete parts (a) through (d).
The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600, 0.400. The events in parts (a) and (b) are considered unusual.
The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.
The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.
To know more about Probability:
https://brainly.com/question/11234923
#SPJ4
_____The given question is incomplete, the complete question is given below:
The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer
What is the probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute?
The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.
Given that the population mean, \(\mu\) = 90 wpm
The standard deviation of the population ,\(\sigma\) = 10
Sample size, n = 12
Sample mean, \(\bar x\) = 95
The reading rate of students follows the normal distribution.
Let z = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }\)
= \(\frac{95 - 90}{\frac{10}{\sqrt 12} }\)
= 1.732
Probability that the mean reading exceeds 95 wpm = P(\(\bar x\) >95)
= P(z>1.732)
= 1- P(z<1.732)
= 0.4582
[The value 0.4582 found from the area under the normal curve using tables].
Learn more about Normal Distribution at https://brainly.com/question/27701525
#SPJ4
1.
a number or a variable, or the product of a number and
variable(s)
2. a number; a term containing no variables
3. an equation that uses variables to state a rule
one term or multiple terms connected by an addition or
4.
subtraction sign
5. a letter or symbol used to represent an unknown number
A number in an expression exists in a phrase that has no variables.
So, it exists comprehended as a constant term.
If any term exists with a variable or variables, then it can't be considered a number. Then, it evolves into just a term.
But if there are no variables in a term present, then it is called to be a number.
What is a variable?In mathematics, a variable exists as a character and placeholder for a quantity that may vary, or any mathematical entity. In certain, a variable may designate a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.
A number in an expression exists in a phrase that has no variables.
So, it exists comprehended as a constant term.
If any term exists with a variable or variables, then it can't be considered a number. Then, it evolves into just a term.
But if there are no variables in a term present, then it is called to be a number.
Therefore, the correct answer is option 1. a number or a variable, or the product of a number and variable(s).
To learn more about variables refer to:
https://brainly.com/question/2804470
#SPJ9
mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5
Answer:
god help you
Step-by-step explanation:
i think we should add all the ratio together.......
What are the domain and range of f(x)=3(x−15)2+27? It is a drag an drop.
Answer 1. All real numbers
Answer 2. x≥15
Answer 3. f(x)≥15
Answer 4. x≥27
Answer 5. f(x)≥27
Answer:
1. All real numbers
Step-by-step explanation:
Simplifies to f(x) = 6x - 63, it will cross all x and y values.
The domain and range of the given function are all real numbers
We have given that,
f(x)=3(x−15)2+27
f(x)=(3x-45)2+27
f(x)=6x-90+27
What is the domain?The domain is the set of points at which the function is defined.
What is the range?
The range of a set of data is the difference between the largest and smallest values. The difference here is specific, the range of a set of data is the result of subtracting the sample maximum and minimum.
To f(x) = 6x - 63, it will cross all x and y values.
To learn more about the domain range visit:
https://brainly.com/question/1942755
#SPJ2
Were should I go to study for my 10 grade geometry Fundamentals test which is tomorrow :[
Answer: in a quiet room or the library,
also you better summarize your geometry lessons and remember the formulas :P
A class collected 2{,}650\,\text{L}2,650L2, comma, 650, start text, L, end text of materials to recycle. Reginald said that 2{,}650 \div 49\dfrac{1}{10}2,650÷49 10 1 2, comma, 650, divided by, 49, start fraction, 1, divided by, 10, end fraction could represent the volume of each bag if the class filled 49\dfrac{1}{10}49 10 1 49, start fraction, 1, divided by, 10, end fraction bags with material to recycle. Peni said that 2{,}650 \div 49\dfrac{1}{10}2,650÷49 10 1 2, comma, 650, divided by, 49, start fraction, 1, divided by, 10, end fraction could represent the number of containers the class filled if each container holds 49\dfrac{1}{10}\,\text{L}49 10 1 L49, start fraction, 1, divided by, 10, end fraction, start text, L, end text of material. Whose interpretation makes sense in this context?
Answer:
both interpretations make sense
Step-by-step explanation:
Reginald says (2650 L)/(49 1/10 bags) will give the volume of each bag; Peni says (2650 L)/(49 1/10 containers) will give the volume of each container. You want to know which intepretation makes sense.
ReginaldThe result of Reginald's calculation is ...
\((2650\text{ L})\div(49\dfrac{1}{10}\text{ bags})=\dfrac{2650}{49.1}\text{ L/bag}\)
The result has units of volume per bag, which is exactly what Reginald says it is.
PeniThe result of Peni's calculation is ...
\((2650\text{ L})\div(49\dfrac{1}{10}\text{ containers})=\dfrac{2650}{49.1}\text{ L/container}\)
The result has units of volume per container, which is exactly what Peni says it is.
Both interpretations make sense.
<95141404393>
Answer:
both
Step-by-step explanation:
I have three fair dice: one is 6-sided, one is 8-sided, and one is 12-sided. Each n-sided die has numbers 1 through 1 OH its sides, and each side is equally likely to come up. [roll the three dice at the same time. (a) What is the probability that [ roll the saine number on all three dice? (b) [ pick one of the dice at random, with all three equally likely to be picked. roll it and it comes up "4" What is the probability that the die [ rolled was the 6-sidled one? (c) What is the probability that the smallest number roll is at least 32 Hint: 'smallest number is at least 3" all 3 dice show 3 O1 higher" (d) What is the probability that the product of the three numbers roll is even"
The probability of rolling the same number on all three dice can be found by multiplying the probabilities of rolling the same number on each individual die. The probability of rolling the same number on the 6-sided die is 1/6, the probability of rolling the same number on the 8-sided die is 1/8, and the probability of rolling the same number on the 12-sided die is 1/12. Multiplying these probabilities together gives us the probability of rolling the same number on all three dice: (1/6) * (1/8) * (1/12) = 1/576.
The probability of rolling a "4" on one of the dice and it being the 6-sided die can be found by multiplying the probability of rolling a "4" on the 6-sided die (1/6) by the probability of picking the 6-sided die at random (1/3). This gives us a probability of (1/6) * (1/3) = 1/18.
The probability of the smallest number rolled being at least 3 can be found by subtracting the probability of the smallest number being less than 3 from 1. The probability of the smallest number being less than 3 is the probability of rolling a 1 or a 2 on each of the dice: (2/6) * (2/8) * (2/12) = 1/72. Therefore, the probability of the smallest number being at least 3 is 1 - (1/72) = 71/72.
The probability of the product of the three numbers rolled being even can be found by subtracting the probability of the product being odd from 1. The probability of the product being odd is the probability of rolling an odd number on each of the dice: (3/6) * (4/8) * (6/12) = 1/8. Therefore, the probability of the product being even is 1 - (1/8) = 7/8.
To know more about probability click here:
https://brainly.com/question/29381779
#SPJ11
The population size is dictated by
A. births, deaths, density, and distribution
B. density, distribution, immigration, and emigration
C. births, deaths, immigration, and emigration
D. density, distribution, sex ratio, and age structure
A rectangular field bordering a river is to be enclosed with 600 m of fencing. No fence is needed along the riverbank. What equation represents the maximum area enclosed by the fence?