As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.
What is probability?Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.
The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.
The standard error of the mean (SE) is calculated as follows:
SE = σ/√n
Where n is the sample size and is the population standard deviation.
SE = 83/√160 = 6.575
Z = (X - μ) / SE
Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.
Z = (553.9 - 541) / 6.575 = 1.94
As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.
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the number can be rewritten without a radical in the denominator by multiplying the numerator and denominator by
To rewrite a number with a radical in the denominator without the radical, we can use the conjugate of the denominator. The conjugate of a binomial expression a + b is a - b, and the conjugate of a - b is a + b.
Suppose we have a number with a radical in the denominator, such as 1/√2. To rewrite this without the radical, we multiply the numerator and denominator by the conjugate of the denominator, which is
√2: 1/√2 = (1/√2) * (√2/√2) = √2/2
Note that the product of the denominator and its conjugate is always a difference of squares, which can be simplified to an integer without a radical.
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THE FIRST ANSWER GETS BRAINLIEST AND FIVE STARS!
Parallelogram ABCD is a rhombus with measure EBC = 36. What is the measure of DAE?
picture below
Answer:
54°
Step-by-step explanation:
AB = BC = CD = AD (Because all sides of a rhombus are equal)
Let's consider the triangle DBC:
BC = DC => ∠DBC = 36°
The angle DCB is equal to:
180° - 36*2 = 180° - 72° = 108°
In a parallelogram, opposite angles are equal.
Then the angle DAB = DCB = 108°
Also, we know that the diagonals of a rhombus are the bisectors of the angles from which they come.
So, the angle DAE = EAB = 108° / 2 = 54°
Which of the following conditions are sufficient to show that triangle ABC sim triangle QPR
Select all that apply.
A. m angle Q = 63
B. m angle R = 81
D. m angle P = 81
C. RP = 4.5
Answer:
C. RP = 4.5
Step-by-step explanation:
You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.
SimilaritySimilarity can be shown if all three sides are proportional, or if two angles are congruent.
The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.
C. RP = 4.5
__
Additional comment
The side ratios in the two triangles are ...
AB : BC : CA = 10 : 9 : 6
QP : PR : RQ = 5 : PR : 3
For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.
I will mark you brainiest!
In the diagram, ∠AFG and ∠CGF are what type of angles?
A) same side interior angles
B) corresponding angles
C) alternate interior angles
D) alternate exterior angles
E) vertical angles
Without an appointment, the average waiting time in minutes at the doctor's office has the probability density function f(t)=1/38, where 0≤t≤38
Step 1 of 2:
What is the probability that you will wait at least 26 minutes? Enter your answer as an exact expression or rounded to 3 decimal places.
Step 2 of 2:
What is the average waiting time?
The probability of waiting at least 26 minutes is 0.316. The average waiting time is 19 minutes.
Step 1:
The probability of waiting at least 26 minutes can be calculated by finding the area under the probability density function from 26 to 38:
P(waiting at least 26 minutes) = ∫26^38 (1/38) dt = [t/38] from 26 to 38
= (38/38) - (26/38) = 12/38 = 0.316
So the probability of waiting at least 26 minutes is 0.316 or approximately 0.316 rounded to 3 decimal places.
Step 2:
The average waiting time can be calculated by finding the expected value of the probability density function:
E(waiting time) = ∫0³⁸ t f(t) dt = ∫0³⁸ (t/38) dt
= [(t²)/(238)] from 0 to 38
= (38²)/(238) = 19
Therefore, the average waiting time is 19 minutes.
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Let f(X)=x-8 and g(X) =4x^2. Perform the function operation and then find the domain of the result. (f-g)(x)
Answer:
(f - g)(x) = -4x² + x - 8
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= x - 8 - (4x²)
= -4x² + x - 8
What is the slope of a line that passes through the points (-2, 3) and (4, -12)?
Can someone please help me
The volume of the composite figure is 837.33 cubic units.
What is volume of a cone?The area or capacity of a cone is determined by its volume. A cone's circular base tapers from a flat base to a point known as the apex or vertex in three dimensions. A cone is made up of a collection of line segments, half-lines, or lines that link the apex—the common point—to each point on the base, which is on a plane without the apex. A cone may be thought of as a collection of irregularly shaped circular discs placed on top of one another with the ratio of their radii remaining constant.
The volume of any composite figure is the addition of the volume of all the shapes present in the figure.
Here, the composite solid is made of 2 cones and a cylinder.
The volume of cone is:
V = 1/3(πr²h)
For cone with height 12 and r= 4:
V = 1/3(π)(4)²(12)
V = 200.96 cubic units.
For cone with h = 8 and r = 4:
V = 1/3(π)(4)²(8)
V = 133.97
The volume of cylinder is:
V = πr²h
V = (3.14)(4)²(10)
V = 502.4 cubic units.
The volume of the composite solid is:
Total volume = 200.96 + 133.97 + 502.4
Total volume = 837.33 cubic units.
Hence, the volume of the composite figure is 837.33 cubic units.
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Fill in the missing values to make the equations true.
please help me 60 points
Answer:
Matt would walk 8 miles in to hours.
Step-by-step explanation:
15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.
1 mile times 8 = 8 miles
Hope that helps!
I need help with this
The line segment AB and CB are perpendicular to each other.
How to determine if a line is perpendicular?Check whether the slopes of the lines are the negative reciprocals of one another to see if they are perpendicular to one another. The steps are as follows:
Using the following formula, get the slope of the first line:slope is equal to (y-change) / (change in x)where the "change in y" refers to the difference between the y-coordinates of two points on the line, and the "change in x" refers to the difference between the x-coordinates of the same two places.Using the same formula, determine the slope of the second lineTake the first slope's negative reciprocal by turning it upside down and altering its sign. For instance, the negative reciprocal of the first line's slope of 2/3 is -3/2.Check if the second slope is equal to the negative reciprocal of the first slope. If it is, then the lines are perpendicular.Learn more about Coordinates here:
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a) find the probability the chosen person is a woman
b) find the probability the chosen person favors pink or purple
c) if the chosen person favors turquoise, what is the probability this person is a man?
The probability that the person chosen is a woman is 0.51.
The probability that the person chosen favors pink or purple is 0.67.
The probability that a person that favors turquoise is a man is 0.66.
What are the probabilities?Probability is the odds that a random event would occur. The odds that the event occurs has a probability value that lies between 0 and 1. The more likely it is that the event would happen, the closer the probability value would be to 1.
The probability that the person chosen is a woman = number of women / total number of people = 152 / 300 = 0.51.
The probability that the person chosen favors pink or purple = (number of people who favor pink / total number of people) + (total number of people that favor purple / total number of people) = (50 /300) + (50 / 300) = 0.67.
The probability that a person that favors turquoise is a man = men who favor turquoise / total number of people who favor turquoise = 79/120 = 0.66
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What is the coefficient of the fourth term in the expansion of (x - y)^4?
Answer: the distribution to the x and the 3 makes the solution 4
Step-by-step explanation: i got you broski
Both descriptive statistics (mean, median, mode, and range) and probability (the likelihood that something will happen) can be useful in our academic, professional, and personal lives. • Determine which of the two (descriptive statistics or probability) you find to be the most useful in your life and explain why using two (2) specific examples.
Descriptive statistics are the most useful in life. Descriptive statistics provide information about a data set and can help to summarize and interpret data. Specifically, I find the mean and median to be the most useful.
What does Descriptive statistics mean?Descriptive statistics involves the use of measures such as the mean, median, mode, and range, as well as graphical representations of the data, such as histograms, box plots, and scatter plots.
The mean is the average of a set of data and is useful for summarizing and interpreting data. For example, when I am studying for a test, I often use the mean of my practice test scores to understand my overall performance.
The median is the middle value of a set of data and is useful for understanding the spread of the data. For example, when I am tracking my monthly expenses, I often use the median to understand how much I am spending each month. By taking the median of my monthly expenses, I can get an idea of which expenses are taking up the most of my budget.
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How do you compute the sum of squared errors
Answer:
Relating SSE to Other Statistical Data
Variance = SSE/n, if you are calculating the variance of a full population.Variance = SSE/(n-1), if you are calculating the variance of a sample set of data.
If A B C are three matric such that AB=AC such that A=C then A is
Answer:
invertible
Step-by-step explanation:
If A is invertible then ∣A∣ =0
Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch. I need help D:
Please !!!!
The length of the top of the bookcase should be approximately 25 inches to display the soap carving collection with an area of 300 in².
What is the length of the top of the bookcase?
To find the length of the top of the bookcase (which we'll call "b"), we need to know the area of the collection of soap carvings and the formula for the area of a rectangle:
Area = length x width
We're given the area of the soap carving collection (300 square inches), and we know that the soap carvings will be displayed on top of the bookcase, which is a rectangle.
Let's assume that the width of the bookcase is 1 unit (we can choose any unit we want, as long as we're consistent). Then we can write:
300 = b x 1
Simplifying this equation, we get:
b = 300/1
b = 300
So the length of the top of the bookcase should be 300 inches. However, this assumes that the width of the bookcase is only 1 inch, which is quite narrow.
If we assume a more reasonable width of, say, 12 inches, then we can write:
300 = b x 12
Simplifying this equation, we get:
b = 300/12
b = 25
So the length of the top of the bookcase should be 25 inches (if the width of the bookcase is 12 inches).
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Which of the following describes the transformation from Figure 1 to Figure 2?
On a coordinate plane, figure 1 has points (negative 2, 5), (negative 2, 4), (negative 3, 4), (negative 3, 2), (negative 5, 2), (negative 5, 5). Figure 2 has points (2, negative 5), (2, negative 4), (3, negative 4), (3, negative 2), (5, negative 2), (5, negative 5).
Initially, while maintaining the very same [tex]x-[/tex]coordinates, the negative reflect across the [tex]x-axis[/tex] modifies the signs of all locations' [tex]y-[/tex]coordinates.
Negative: Does it signify plus or minus?A negative value is one that always has a value lower than zero and is denoted by the minus (-) symbol. In a number line, negative values are displayed just left of zero.
What is the significance of both positive and negative values in math?If a number is higher than zero, it is considered positive. Or less zero numbers are referred to as negative numbers. If a number is bigger than that or equal to zero, it is not negative. If a number falls below or equal to zero, it is non-positive.
This transforms Figure [tex]1[/tex] into a new figure with points [tex](-2, -5), (-2, -4), (-3, -4), (-3, -2), (-5, -2), (-5, -5)[/tex].
Next, the [tex]180^{0}[/tex] rotation about the origin swaps the signs of both [tex]x[/tex] and [tex]y[/tex] coordinates of each point. This results in the final figure with points [tex](2, -5), (2, -4), (3, -4), (3, -2), (5, -2), (5, -5)[/tex].
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Please help me anyone please ?!!!?!!
Answer:
7. 23
8. (3 - 8) x 5
Step-by-step explanation:
I think the second one is right but I know the first one is.
Question 11 (2 points)
Among the seniors at a small high school of 150 total students, 80 take Math, 41
take Spanish, and 54 take Physics. 10 seniors take Math and Spanish. 19 take Math
and Physics. 12 take Physics and Spanish. 7 take all three.
How many seniors take Math and Spanish, but not Physics?
Note: Consider making a Venn Diagram to solve this problem.
3
10
27
121
There are 3 seniors who take Math and Spanish, but not Physics.
What is Venn Diagram?
A diagram representing mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle (the universal set), common elements of the sets being represented by the areas of overlap among the circles.
To solve this problem, we can use a Venn diagram to organize the information given about the students.
First, we know that there are 150 seniors in total, so we can label the outer rectangle of the Venn diagram as having a total of 150 students.
Next, we can label the three circles as Math, Spanish, and Physics, with the numbers given in the problem:
80 seniors take Math, so we label the Math circle with 80.
41 seniors take Spanish, so we label the Spanish circle with 41.
54 seniors take Physics, so we label the Physics circle with 54.
We also know that 10 seniors take Math and Spanish, 19 take Math and Physics, 12 take Physics and Spanish, and 7 take all three. We can label these overlaps in the Venn diagram as follows:
The overlap of Math and Spanish is 10.
The overlap of Math and Physics is 19.
The overlap of Physics and Spanish is 12.
The overlap of all three is 7.
To find the number of seniors who take Math and Spanish, but not Physics, we need to subtract the number of seniors who take all three (because they are counted in all three circles) and the number of seniors who take Math, Spanish, and Physics (because they are counted in the overlap of all three circles). Then we add the number of seniors who take only Math and Spanish (because they are not counted in the Physics circle).
Using the formula for the number of elements in the union of three sets, we have:
Math or Spanish or Physics = Math + Spanish + Physics - (Math and Spanish) - (Math and Physics) - (Spanish and Physics) + (Math and Spanish and Physics)
So, the number of seniors who take Math and Spanish, but not Physics is:
Math and Spanish - (Math and Spanish and Physics) + (Math or Spanish or Physics - (Math + Spanish + Physics) + (Math and Spanish and Physics))
= 10 - 7 + (80 + 41 + 54 - 2(10) - 2(19) - 2(12) + 7)
= 3
Therefore, there are 3 seniors who take Math and Spanish, but not Physics.
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-3+b> 7 OR b +9 <17.
The solution to the compound inequality -3+b> 7 OR b +9 <17 is given as follows:
b < 8 or b > 10.
How to solve the compound inequality?The inequality for this problem is defined as follows:
-3+b> 7 OR b +9 <17.
The or operation means that the we must solve each operation separately, and then the solution set to the compound inequality is given by the union of the solution set of each of the inequalities.
The solution set for the first inequality is given as follows:
-3+b> 7
b > 10.
The solution set for the second inequality is given as follows:
b + 9 < 17
b < 8.
Hence the solution for the entire inequality is of:
b < 8 or b > 10.
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A shopkeeper pays a total of $570 to buy 300 identical items. The shopkeeper sells 200 of these items. The selling price of each of these items is such that the shopkeeper makes a profit of 20% on what he paid for each item.The shopkeeper then reduces this selling price by 25% and he sells the remaining 100 items at this reduced price.Calculate the total profit made by the shopkeeper in selling all 300 items.
Answer:
I HOPE ITS HELPFUL
Step-by-step explanation:
Cost price of 300 articles = ₹1500Hence cost of each item = 1500/300 = ₹5With 20% profit, selling price of each item = 5 * 120/100 = ₹6Hence, total selling price of 260 items = 260 * 6 = ₹1560Selling price of balance items = 6/2 = ₹3Total selling price for balance items = 40 * 3 = ₹120Total selling price = 1560 + 120 = ₹1680Profit gained = 1680 - 1500 = ₹180Profit percentage = 180/1500 * 100 = 12
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. y 0 1 2 3 4 ply) 0.60 0.20 0.15 0.03 0.02 (a) Calculate and interpret Hy My = 0.20 (b) In the long run, for what proportion of cartons is the number of broken eggs less than jy? (Round your answer to two decimal places). Enter a number. Does this surprise you? Yes O No 0 + 1 + 2 + 3 + 4 (c) Explain why sy is not equal to = 2.0. 5 This computation of the mean is incorrect because the value in the denominator should equal the maximum y value. This computation of the mean is incorrect because it does not take into account that the number of broken eggs are all equally like O This computation of the mean is incorrect because it includes zero in the numerator which should not be taken into account when O This computation of the mean is incorrect because it does not take into account the number of partially broken eggs.
a) The value of Hy = 1.15
b) The proportion of cartons with less than 1.15 broken eggs is 0.60
c) The answer is B)This computation of the mean is incorrect because it does not take into account that the number of broken eggs are not all equally like.
(a) Hy = 0.67, which means that on average, there are 0.67 broken eggs per carton.
Hy = (0*0.60 + 1*0.20 + 2*0.15 + 3*0.03 + 4*0.02)/1
= 0.67
(b) The proportion of cartons with less than 0.67 broken eggs is 0.60 which is probability of 0 broken eggs.. This may be surprising as the probability of having less than 0.67 broken eggs is only 0.60, but this is due to the fact that the distribution is skewed towards higher values.
(c) Hy is not equal to the simple average of 0, 1, 2, 3, and 4 because the distribution is not symmetrical. The probabilities are weighted towards higher values, which increases the mean. Additionally, the value of zero should be included in the calculation, as it represents a possible outcome. Therefore, the correct formula for Hy is (0*0.60 + 1*0.20 + 2*0.15 + 3*0.03 + 4*0.02)/1 = 0.67.
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--The question is incomplete, answering to the question below--
"Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs.
y 0 1 2 3 4
p(y) 0.60 0.20 0.15 0.03 0.02
(a) Calculate and interpret Hy
(b) In the long run, for what proportion of cartons is the number of broken eggs less than Hy? (Round your answer to two decimal places).
Does this surprise you?
Yes
No
(c) Explain why Hy is not equal to (0 + 1 + 2 + 3 + 4)/5 = 2.0.
A. This computation of the mean is incorrect because the value in the denominator should equal the maximum y value.
B. This computation of the mean is incorrect because it does not take into account that the number of broken eggs are not all equally like
C. This computation of the mean is incorrect because it includes zero in the numerator which should not be taken into account when
D. This computation of the mean is incorrect because it does not take into account the number of partially broken eggs."
Scenario #3:
Imagine you find a map with a scale of 1:63,360. On that map, you see your hiking destination is
seven inches from your current location.
(a) How far away is that in reality (in miles)?
(b) Explain how you arrived at this decision.
SHOW YOUR WORK! This includes the potential for partial value, if incorrect.
Answer:
7 miles
Step-by-step explanation:
Note there are 63,360 inches in a mile.
So, rewrite scale as 1 inch: 1 mile, where inch replaces the unit.
Therefore 7 inches: 7 miles.
how do you simplify 7/8 + 3/4?
Answer:
13/8
Step-by-step explanation:
You first find the lcm of 8 and 4 which is 8
Then make a dividing line (/) with the lcm as the numerator.
After which you start diviing the lcm by each denominator of the two terms, and then multiplying with their numerators:
8/8 x 7 + 8/4 x 3 all over the lcm which is 8
(1 x 7 + 2 x 3)/8
(7 + 6)/8
13/8
state the third congruence statement that is needed to prove that FGH is congruent to LMN using the ASA congruence therom
Answer:
a
Step-by-step explanation:
Diane deposits $70,000 into an account that pays 3% interest per year, compounded annually. Henry deposits $70,000 into an account that also pays 3% per year. But it is simple interest. Find the interest Diane and Henry earn during each of the first three years. Then decide who earns more interest for each year. Assume there are no withdrawals and no additional deposits.
Answer:
Step-by-step explanation:
For Diane's account:
Year 1: Interest = $70,000 x 0.03 = $2,100
Year 2: Interest = ($70,000 + $2,100) x 0.03 = $2,163
Year 3: Interest = ($70,000 + $2,100 + $2,163) x 0.03 = $2,227.89
For Henry's account:
Year 1: Interest = $70,000 x 0.03 = $2,100
Year 2: Interest = $70,000 x 0.03 = $2,100
Year 3: Interest = $70,000 x 0.03 = $2,100
For the first year, both Diane and Henry earn the same interest of $2,100. However, for the second and third years, Diane earns more interest than Henry. Therefore, Diane earns more interest for each year after the first year
In each case either show that the statement is true, or give an example showing it is false. a. If a linear system has n variables and m equations, then the augmented matrix has n rows.
The given statements are true or false are shown below, about linear system has n variables and m equations, then the augmented matrix has n rows.
First, let's write how A and C look like.
A = [C|b], where b is the constant matrix.
(a) False.
Example
[tex]\left[\begin{array}{ccc}1&0&2\\0&1&3\\\end{array}\right][/tex]
We can see that z = t and so we have infinitely many solutions but there's no row of zeros.
(b) False.
Example
[tex]\left[\begin{array}{cc}1&0&0\1&1&0&0\\\end{array}\right][/tex]
Here; x1 = 1 and x2 = 1 is a unique solution and we have a row of zeros.
(c) True.
In the row-echelon form, the last row is either a row of zeros or a row that contains a leading 1. If the row has a leading 1, then there is a solution. Since we assume there is no solution, then the row must be a row of zeros.
(d) False.
Example
[tex]\left[\begin{array}{cc}1&3\\0&0\end{array}\right][/tex]
Here; x₁ = 1 − 3t and x2 = t. Thus, the system is consistent.
(e) True.
Suppose we have a typical equation in a system
а1x1 + A2X2 + ··· + anxn = b
Now, if b≠0 and x1 = x2 = ··· = x₂ = 0, then the system is Xn inconsistent. But, if b = 0, then we have a solution.
(f) False.
Example
[tex]\left[\begin{array}{cc}1&2&0&0\end{array}\right][/tex]
If a = 0, then it's consistent(infinitely many solutions) but if a 0, then it's inconsistent.
(g) Ture.
Since the rank would be at most 3 and this will lead to a free variable (4 columns in C and the rank is 3, so there is at leat 1 free variable). Thus, the system has more thatn one solution.
(h) True.
Because the rank is the number of leading 1's lying in different rows and A has 3 rows. Thus, the rank ≤ 3.
(i) False.
Because we could have a row of zeros in C and a leading 1 in A. In other words, a31 = a32 = A33 = A34 = 0 and c3 1. This makes the system inconsistent.
(j) True.
If the rank of C = 3, then there will be a free variable and this means the system is consistent.
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Complete question:
In each case either show that the statement is true, or give an example showing it is false. (a) If a linear system has n variables and m equations, then the augmented matrix has n rows. quations • ( *b) A consistent linear system must have infinitely many solutions. . (c) If a row operation is done to a consistent linear system, the resulting system must be consistent. (d) If a series of row operations on a linear system results in an inconsistent system, the original system is inconsistent.
Can you guys help me?
Answer:
[tex]{ \sf{a = \frac{0.012}{0.633 -0.063 } }} \\ \\ { \sf{a = \frac{0.012}{0.57} }} \\ \\ { \sf{a = 0.021 \: (2 \: s.f)}}[/tex]
show that if 16 people are seated in a row of 20 chairs, then some group of 4 consecutive chairs must be occupied.
The process to show that if 16 people are seated in a row of 20 chairs, then some group of 4 consecutive chairs must be occupied is shown below.
We prove this using the Pigeonhole Principle, which states that if n items are placed into m containers, and n > m, then at least one container must contain more than one item.
Let us consider the 16 people seated in a row of 20 chairs. Each person occupies one chair, so there are 20 - 16 = 4 empty chairs in the row.
We assume that empty chairs as containers, and people as items that need to be placed into containers.
Since there are more items (people) than containers (empty chairs), there must be at least one group of 2 or more consecutive empty chairs.
Now, let's consider the complement of this statement: Suppose there are no groups of 4 consecutive chairs that are occupied. Then, each group of 4 consecutive chairs contains at most 3 people.
We partition the row of chairs into groups of 4 consecutive chairs.
So, there are 20 - 3 = 17 such groups. By the statement above, each of these groups contains at most 3 people. Therefore, the total number of people seated in the row is at most 17×3 = 51.
But, we know that there are actually 16 people seated in the row. This is a contradiction, since 51 < 16. Therefore, our assumption that there are no groups of 4 consecutive chairs that are occupied must be false, and we have proved that some group of 4 consecutive chairs must be occupied.
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