Answer:
Step-by-step explanation:
From the question; we are given the following inclusive frequency distribution information
Class Frequency f
1.1-1.5 18
1.6-2.0 27
2.1-2.5 31
2.6-3.0 40
3.1-3.5 56
3.6-4.0 55
4.1-4.5 23
Convert the above inclusive frequency distribution to exclusive frequency distribution with respect of the upper and lower class limit ; we have:
Class Frequency f
1.05 - 1.55 18
1.55 - 2.05 27
2.05 - 2.55 31
2.55 - 3.05 40
3.05 - 3.55 56
3.55 - 4.05 55
4.05 - 4.55 23
Class Frequency f cf
1.05 - 1.55 18 18
1.55 - 2.05 27 45
2.05 - 2.55 31 76
2.55 - 3.05 40 116
3.05 - 3.55 56 172
3.55 - 4.05 55 227
4.05 - 4.55 23 250
n = 250
To determine the daily sales; we can derive that from estimated Mode by using the relation :
Estimated Mode = L + fm − fm-1(fm − fm-1) + (fm − fm+1) × w
here:
L = the lower class boundary of the modal group
fm-1 = the frequency of the group before the modal group
fm = the frequency of the modal group
fm+1 = the frequency of the group after the modal group
w = the group width
However;
It is easier now to determine the modal group (i.e the group with the highest frequency), which is 3.05 -3.55
L = 3.05
fm-1 =40
fm =56
fm+1 = 55
w = 0.5
∴\(mode = 3.05 + \dfrac{56 - 40 }{(56 - 40) + (56 -55)} * 0.5 \\ \\ mode = 3.05 + 0.4705 \\ \\ mode = 3.5205\)
To find Median Class ; we use the formula;
Median Class = value of (n / 2)th observation
Median Class = value of (250 / 2)th observation
Median Class = value of 125th observation
From the column of cumulative frequency cf,
we will see that the 125th observation lies in the class 3.05-3.55.
∴ The median class is 3.05-3.55.
Thus;,
L=lower boundary point of median class =3.05
n=Total frequency =250
cf=Cumulative frequency of the class preceding the median class =116
f=Frequency of the median class =56
c=class length of median class =0.5
\(Median M=L+n2-cff- c \\ \\ =3.05+125-11656⋅0.5 \\ \\=3.05+0.08036 \\ \\ =3.13036\)
hence median sales = $3130.36
Please Help (100 points)
Answer: (12x^-2 y^4 z^3) (2x^4 y^3 Z)
Step-by-step explanation:
Answer:
24x^2y^7z^4
Step-by-step explanation:
Area=L×W
=(12/x^2*y^4*z^3)*(2x^4y^3z)
Now reduce the powee of x since you'll be dividing and add the rest since you'll be multiplying
which of the above diagrams correctly portray a perfectly competitive firm's demand ( d) curve? a. a b. d c. b d. c
Correct option will be (C) In the short run, firms may incur economic losses or earn economic profits, but in the long run they earn normal profits.
The short run is a concept that states that, within a certain period in the future, at least one input is fixed while others are variable. In economics, it expresses the idea that an economy behaves differently depending on the length of time it has to react to certain stimuli. The short run does not refer to a specific duration of time but rather is unique to the firm, industry or economic variable being studied.
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Please help! This is hard
Answer:
2 sorry if it’s wrong hope it helped
Step-by-step explanation:
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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A parachutist’s speed during a free fall reaches 165 feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answer.
Answer:
\(x=750m\)
Step-by-step explanation:
\(Assuming\) \(That\):
\(1m=3.3ft\)
We can make the conversion from feet per second to meters per second with this procedure:
\((165 \frac{ft}{s} ) (\frac{1m}{3.3ft} )=50\frac{m}{s}\)
Let \(x\) be the amount of meters the parachutist will fall during 15 seconds of free fall
Having that in 1 second the parachutist falls 50 meters, we can calculate \(x\) :
\(x=(50\frac{m}{s} )(15s)\)
\(x = 750 m\)
Brainliest?!
Angle θ is in standard position and ( 4 , 4 ) is a point on the terminal side of θ. What is the exact value of sec θ sec 0 in simplest form with a rational denominator?
Answer:
\(\sqrt{2}\)
Step-by-step explanation:
Angle θ is in standard position and (4,4) is a point on the terminal side of θ.
\(\text{Opposite of }\theta =4 \\\text{Adjacent of }\theta =4 \\$Using Pythagoras Theorem\\Hypotenuse^2=$Opposite^2$+Adjacent^2\\$Hypotenuse^2=4^2+4^2\\$Hypotenuse^2$=32\\Hypotenuse=\sqrt{32}=4\sqrt{2}\)
Now, secant is the inverse of cosine.
Therefore:
\(\sec \theta =\dfrac{Hypotenuse}{Adjacent} \\\sec \theta =\dfrac{4\sqrt{2}}{4} \\\sec \theta =\sqrt{2}\)
Which of these systems of linear equations has no solution? Ay=3x+8y=6x+16By=3x+8y=3x+16Cy=3x+8y=8x+16Dy=3x+16y=6x+16
The general equation of line is,
\(y=mx+c\)Here, m is slope and c is y-intercept.
The system of linear equation has no solution, if lines has same slope but different intercept value.
In option A, slope of lines are different so line intersect each other at one point nd has solution.
In option B, lines has same slope but different y intercept, so lines are parallel to each other on graph and has no solution.
In option C, lines has different slope so line intersect each other and posses a solution.
In option D, line has different slope, so line intersect each other and posses a solution.
Thus system of equations in option B has no solution.
PLEASE HELPPP THANKS
Answer: The last option. X is greater than or equal to -3
Step-by-step explanation:
If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).
The following bar chart shows the distances run by Jay's family in a race.
Find the median distance in km.
The median of the distances is M = 6.5 kilometers
Given data ,
To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
Arranging the given set of numbers in ascending order: {4, 5, 8, 11}
Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:
(5 + 8) / 2 = 13 / 2 = 6.5
Hence , the median of the given set {4, 5, 8, 11} is 6.5
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what is x please fast
\(3 {x}^{2} - 5x + 4x = 3 {x}^{2} - 5 {x}^{2} + 9x\)
Answer:
\(3 {x}^{2} - 5x + 4x = 3 {x}^{2} - 5 {x}^{2} + 9x \\ 3 {x}^{2} - x = - 2 {x}^{2} + 9x \\ 3 {x}^{2} + 2{x}^{2} = 9x + x \\5 {x}^{2} = 10x \\ 5x = 10 \\ x = \frac{10}{5} = 2 \\ x = 2 \\ thank \: you\)
Answer:
\( \rm x = 2\)
Step-by-step explanation:
\( \rm 3x ^ { 2 } -5x+4x=3x ^ { 2 } -5x ^ { 2 } +9x\)
\( \rm 3x^{2}-x=3x^{2}-5x^{2}+9x \)
\( \rm 3x^{2}-x=-2x^{2}+9x \)
\( \rm 3x^{2}-x+2x^{2}=9x \)
\( \rm 5x^{2}-x=9x \)
\( \rm 5x^{2}-x-9x=0 \)
\( \rm 5x^{2}-10x=0 \)
\( \rm 5x -10 =0 \)
\( \rm x = 10 \div 5 \)
\( \bold{x = 2}\)
can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!
Answer:
{-2}
Step-by-step explanation:
Answer:
B)-2
Step-by-step explanation:
In functions, X is your input. Y is the output unless specifically stated otherwise :P
Brainliest? <3
Use the properties of exponents to simplify the expression:
The simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.
How can you simplify → aˣ/aⁿ?We can write the simplified form of the given expression using the exponent rule as -
{aˣ/aⁿ} = {aˣ a⁻ⁿ} = {aˣ ⁻ ⁿ}
Given is the expression as -
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\)
We can simplify the expression as -
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (27)^{\frac{1}{2} \times \frac{2}{3} }\)
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 27^{\frac{1}{3} }\)
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (3)^{3}^{\frac{1}{3} }\)
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 3\)
Therefore, the simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.
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Help ASAP PLEASE Determine the scale factor used to create the image
A 1/2
B 2
C1/4
D 4
Answer:
The answer is B)2
Step-by-step explanation:
As you can see, the length and height of the bigger rectangle is twice the length and height of the smaller rectangle.
Based on a poll, among adults who regret getting tattoos, 24% say that they were too young when they got their tattoos. Assume that six adults who regret getting tattoos are randomly selected, and find the indicated probability.
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c. Find the probability that the number of selected adults saying they were too young is 0 or 1.
Answer:
a) 0.1927 = 19.27% probability that none of the selected adults say that they were too young to get tattoos.
b) 0.3651 = 36.51% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c) 0.5578 = 55.78% probability that the number of selected adults saying they were too young is 0 or 1.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they say they were too young to get tattoos, or they do not say this. The probability of a person saying this is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
24% say that they were too young when they got their tattoos.
This means that \(p = 0.24\)
Six adults
This means that \(n = 6\)
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
This is P(X = 0). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{6,0}.(0.24)^{0}.(0.76)^{6} = 0.1927\)
0.1927 = 19.27% probability that none of the selected adults say that they were too young to get tattoos.
b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
This is P(X = 1). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 1) = C_{6,1}.(0.24)^{1}.(0.76)^{5} = 0.3651\)
0.3651 = 36.51% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c. Find the probability that the number of selected adults saying they were too young is 0 or 1.
This is:
\(p = P(X = 0) + P(X = 1) = 0.1927 + 0.3651 = 0.5578\)
0.5578 = 55.78% probability that the number of selected adults saying they were too young is 0 or 1.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The value of side TS is,
⇒ TS = 28
First, we are going to divide the figure and named new points X and Y as:
Now, we know that TS is the sum of TX and XS.
TS = TX + XS
Additionally, TX has the same length of HJ, so:
TX = HJ = 14
Now, we want to know the length of YK, and we can calculate it using the following equation:
LK = LY + YK
LY = HJ,
so, LY = 14
And, 42 = 14 + YK
42 - 14 = YK
28 = YK
Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:
XS = YK/2
XS = 28/2
XS = 14
Therefore, TS is equal to:
TS = TX + XS
TS = 14 + 14
TS = 28
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Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto: $30,000 Estimated life: 5 years Residual value: $800 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 $30,000 A B C D E 2 $30,000 F G H I J 3 $30,000 K L M N O
The table is completed as follows using the double-declining-balance method of depreciation:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
The double-declining-balance approach is what?
The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.
In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.
At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.
The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.
Auto = $30,000
Estimated useful life = 5 years
Residual = $800
Depreciable amount = $30,000 - $800 = 29,200
Straight-line depreciation rate = 100/5 = 20%
Double-declining depreciation rate =20% x 2 = 40%
Depreciation Expense:
1st year = 30,000 x 40/100 = 12,000
2nd year = 18,000 x 40/100 = 7,200
3rd year = 10,800 x 40/100 = 4,320
4th year = 6,480 x 40/100 = 2,592
5th year = 3,888 x 40/100 = 1,555
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
4 $30,000 $23,520 $6,480 $2,592 $26,112 $3,888
5 $30,000 $26,112 $3,888 $1555 $27,667 $2,332
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Ben come aproximadamente 2400 calorías al día. Su esposa Sarah come 5 tanto. Cúantos
¿Sarah come calorías al día?
Sarah consumes 12000 calories per day.
What is calorie?A calorie is a unit of energy.
Given is that Ben eats approximately 2,400 calories a day.
We can write the amount of calories eaten by Sarah as -
y = 5 x 2400
y = 12000
Therefore, Sarah consumes 12000 calories per day.
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{Question in english -
Ben eats approximately 2,400 calories a day. His wife Sarah eats 5 as much. How many calories does Sarah eat a day?}
Liam gets a full time job that pays $985.00 every 2 weeks. He pays $700.00 in rent every month. His utilities are another $75.00 a month. He also puts $50.00 a paycheck into a savings account. He makes about $10.00 in interest on his savings account every month. He pays about $10.00 a month for an online streaming service. He pays $200.00 a month for groceries.
Liam's monthly budget is $3,446.54.
We have,
To determine Liam's monthly budget, we need to first calculate his bi-weekly pay, which is:
$985.00 x 2 = $1970.00
Next, we can calculate his monthly income:
= $1970.00 x 12 / 52
= $4541.54 (rounded to two decimal places)
Now we can subtract his monthly expenses:
Rent: $700.00
Utilities: $75.00
Savings: $100.00 ($50.00 per paycheck)
Interest earned: $10.00
Streaming service: $10.00
Groceries: $200.00
Total expenses: $1,095.00
Subtracting the total expenses from Liam's monthly income.
= $4541.54 - $1,095.00
= $3,446.54 (rounded to two decimal places)
Therefore,
Liam's monthly budget is $3,446.54.
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If f(x) = 6x - 4, what is f(x) when x=8
Step-by-step explanation:
f(x) = 6x - 4
f(8) = 6(8) - 4
= 48 - 4
= 44
In the problem 10-4=6 what’s the correct term for the number 4?
A. Product
B. Difference
C. Minuend
D. Subtrahend
Answer:
D. subtrahend
a quantity or number to be subtracted from another. so, 4 is the number which is to be subtracted from 10.
hope this answer helps you!
please mark this answer as the brainliest.. thank you!
Find the equation of the line through (-5,9) that is parallel to y=-2x+2
Answer:
Step-by-step explanation:
y - 9 = -2(x + 5)
y - 9 = -2x - 10
y = -2x - 1
What is the greatest common factor of 3^3 x 5^4 and 2 x 5^3 x 11?
\(\huge\textsf{Hey there!}\)
\(\mathsf{3^3 \times 5^4}\)
\(\mathsf{3^3}\)
\(\mathsf{= 3\times3\times3}\)
\(\mathsf{= 9\times3}\)
\(\mathsf{= \bf 27}\)
\(\mathsf{5^4}\)
\(\mathsf{= 5\times 5\times5\times 5}\)
\(\mathsf{= 25\times25}\)
\(\mathsf{= \bf 625}\)
\(\mathsf{27 \times625}\)
\(\mathsf{= \bf 16,875}\)
\(\mathsf{2\times5^3\times11}\)
\(\mathsf{5^3}\)
\(\mathsf{= 5\times 5\times5}\)
\(\mathsf{= 25\times 5}\)
\(\mathsf{\bf = 125}\)
\(\mathsf{2\times125\times11}\)
\(\mathsf{= 250\times11}\)
\(\mathsf{\bf = 2,750}\)
\(\large\textsf{Find the Greatest Common Factor (GCF) of 16,875 \& 2,750}\)
\(\large\textsf{16,875: 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1,125,}\\\\\large\textsf{1,875, 3,375, 5,625, \& 16,875}\)
\(\large\textsf{2,750: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1,375, \& 2,750}\)
\(\boxed{\boxed{\huge\textsf{Answer: the GCF is \bf 125 }}}\huge\checkmark\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Find the missing quantities for the following circle. Use the pi key for pi.Use a calculator value for π.(Type an integer or decimal rounded to the nearest tenth as needed.)
It is given that the circle has a circumference of 322 in.
It is required to find its radius and diameter.
Recall that the circumference of a circle with diameter d is given as:
\(C=\pi d\)Substitute C=322 into the formula:
\(\begin{gathered} 322=\pi d \\ \text{ Swap the sides:} \\ \Rightarrow\pi d=322 \\ \text{ Divide both sides by }\pi: \\ \Rightarrow\frac{\pi d}{\pi}=\frac{322}{\pi} \\ \Rightarrow d=\frac{322}{\pi}\text{ in.}\approx102.5\text{ in.} \end{gathered}\)Recall that the radius is one-half of the diameter. It follows that:
\(\begin{gathered} r=\frac{d}{2} \\ \Rightarrow r=\frac{\frac{322}{\pi}}{2}=\frac{322}{2\pi}=\frac{161}{\pi}\text{ in.}\approx51.2\text{ in.} \end{gathered}\)The radius is 51.2 in.
The diameter is 102.5 in.
A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport
Width= ? feet,
Length= ? feet
Answer:
\(Length = 10ft\)
\(Width = 15ft\)
Step-by-step explanation:
Given
\(W= Width\\ L = Length\)
\(Area = 150\)
\(W=2*L- 5\)
Required
Determine the dimension
Area is calculated as:
\(Area = L * W\)
So, we have:
\(L * W = 150\)
Substitute: \(W=2*L- 5\)
\(L * (2*L-5) = 150\)
\(L * (2L-5) = 150\)
Open bracket
\(2L^2 - 5L = 150\)
Rewrite as:
\(2L^2 - 5L - 150=0\)
Expand
\(2L^2 -20L + 15L - 150 = 0\)
Factorize:
\(2L(L -10) + 15(L - 10) = 0\)
\((2L + 15) (L - 10) = 0\)
Split
\(2L + 15=0\) or \(L -10 = 0\)
Solve for L
\(2L =-15\) or \(L = 10\)
L cannot be negative
So:
\(L = 10\)
Substitute \(L = 10\) in \(W=2*L- 5\)
\(W = 2 * 10 - 5\)
\(W = 20 - 5\)
\(W = 15\)
Hence:
\(Length = 10ft\)
\(Width = 15ft\)
Determine the x-and y- intercepts for x+y=6
how many red apple are in the jar?
Answer:
2
Step-by-step explanation:
solve it and show full calculus.
thank you!
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
The answer is NO
Reason
x= 2 y= 1
Now input in the first inequality
y≤ -x + 4
1 ≤ -2 +4
1≤ 2 i.e 1 is less than two
Next inequality
y≤ x +1
1 ≤ 2 + 1
1≤ 3 i.e 1 is less than 3
But 1 is not equal to 3 and also not equal to 2
Hence our answer is NO
Find the measure picture attached
Answer:
30
Step-by-step explanation:
90 - 60 = 30
The floor plan of a house is shown below 20 ft 12 ft 7 ft 8 ft 8 ft 34 ft After installing new hardwood flooring , you also need to install base board around the bottom of the walls How many feet of base board will you need to buy ?
Given
The floor plan of a house is,
After installing new hardwood flooring , you also need to install base board around the bottom of the walls.
To find: How many feet of base board will you need to buy?
Explanation:
It is given that,
The floor plan of a house is,
After installing new hardwood flooring , you also need to install base board around the bottom of the walls.
That implies,
The perimetr of the base board is,
\(\begin{gathered} Perimeter=20+12+12+7+7+8+8+34 \\ =108ft \end{gathered}\)Hence, we need to buy 108ft of base board.