To find the length of border needed to put around a rectangular room, you can follow these steps:
Measure the length and width of the room using a tape measure or ruler. Let's say the length is L and the width is W.
Determine the type and width of the border you want to put around the room. Let's say you want to use a wallpaper border that is 6 inches wide.
Calculate the length of the border needed for the top and bottom of the room.
This can be done by adding the width of the room to twice the width of the border. So the length of the top and bottom borders would be:
Length of top/bottom borders = 2(W + 6 inches)
Calculate the length of the border needed for the left and right sides of the room. This can be done by adding the length of the room to twice the width of the border. So the length of the left and right borders would be:
Length of left/right borders = 2(L + 6 inches)
Add up the length of all four borders to get the total length of border needed to put around the room:
Total length of border = 2(W + 6 inches) + 2(L + 6 inches)
Simplifying the above equation, we get:
Total length of border = 2L + 2W + 24 inches
So the total length of border needed to put around the room is 2L + 2W + 24 inches.
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you flip a coin 10 times in a row. every single time it comes up heads. on the 11th flip, is it more likely to be heads, tails, or are heads and tails equally likely
Answer:
1/2
Step-by-step explanation:
It will be either heads of tails equally likely.
It’s still 1/2. Flipping a coin is an independent event. In other words, the outcome of the next flip is uninfluenced by what has happened previously. It’s as if it were the first time you ever flipped the coin. The probability is unaltered.
Select all point that lie on the circle
Answer:
jjjokiioololll.hgyuhhkopohjo
Divide negative 3 and one-sixth ÷ negative 8 and two-fifths.
252 over 95
95 over 252
51 over 30
30 over 51
The value of the expression divide negative 3 and one-sixth ÷ negative 8 and two-fifths is 95 over 252. Option B
What is a fraction?A fraction can be defined as the part of a whole item, number or element.
The several types of fractions are;
Simple fractionsProper fractionsImproper fractionsMixed fractionsComplex fractionsFrom the information given, we have that;
-3 1/ 6 ÷ - 8 2/ 5
Turn into improper fractions
-19/ 6 ÷ 42/ 5
Take the inverse of the divisor and multiply
- 19/ 6 × 5/ 42
95/252
Hence, the value is 95/252
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Three divided by four
Answer:
0.75
Step-by-step explanation:
please please please help!! i’ll mark the brainliest and give 15 points!!!!
9514 1404 393
Answer:
-108
Step-by-step explanation:
About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.
\(a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}\)
_____
Alternate solution
You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...
\(a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}\)
Then the 4th term will be ...
\(a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108\)
Solve the following problem using the simplex method: Maximise: z = -11 + 2x2 +13 subject to 3x2 + x3 <120, r1 - 12 - 4x3 80, - 3+1+12+243 100 (no non-negativity constraints). You should follow the following steps. (a) First reformulate the problem so that all variables have non-negativity constraints. (b) Then work through the simplex method step by step to solve the problem. (c) State the values of the decision variables 11, 12, 13 as well as the objective function in an optimal solution. Marks [11]: 4(a), 5(b), 2(c)
To solve the given problem using the simplex method, we need to follow the steps outlined. Let's go through each step:
(a) Reformulating the problem with non-negativity constraints:
We introduce non-negativity constraints by adding slack variables. The problem becomes:
Maximize: z = -11 + 2x2 + 13s1
subject to:
3x2 + x3 + s2 = 120
r1 - 12 - 4x3 + s3 = 80
-3 + 1x1 + 12x2 + 243x3 + s4 = 100
(b) Applying the simplex method step by step:
Create the initial tableau by representing the objective function and constraints in a tabular form.
Choose the pivot column, which is the column with the most negative coefficient in the objective function row.
Choose the pivot row, which is determined by the minimum non-negative ratios of the right-hand side values divided by the pivot column values.
Perform row operations to make the pivot element 1 and all other elements in the pivot column 0.
Repeat steps 2-4 until no negative coefficients exist in the objective function row.
(c) Once the simplex method is completed, we obtain the values of the decision variables (x1, x2, x3) in the optimal solution, as well as the objective function value (z).
Unfortunately, without the specific values and calculations, it is not possible to provide the exact values of the decision variables and the objective function in the optimal solution.
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find every point cc in the interval [−2,0] at which f(x)=9x3 takes on its average value. separate multiple answers with a comma. write the exact answer. do not round.
Answer:
the exact answer is x = -∛2.
Step-by-step explanation:
The average value of a function over an interval [a, b] is given by:
Avg = (1 / (b - a)) * ∫[a to b] f(x) dx
In this case, the interval is [−2, 0], so a = -2 and b = 0.
Avg = (1 / (0 - (-2))) * ∫[-2 to 0] (9x^3) dx
= (1 / 2) * ∫[-2 to 0] (9x^3) dx
= (1 / 2) * [9/4 * x^4] | [-2 to 0]
= (1 / 2) * (9/4 * (0^4 - (-2)^4))
= (1 / 2) * (9/4 * (0 - 16))
= (1 / 2) * (9/4 * (-16))
= (1 / 2) * (-36)
= -18
The average value of f(x) = 9x^3 over the interval [-2, 0] is -18.
Now, we need to find the points in the interval where the function takes on this average value of -18.
Setting f(x) = -18, we have:
9x^3 = -18
Dividing both sides by 9:
x^3 = -2
Taking the cube root of both sides:
x = -∛2
Therefore, the point cc in the interval [-2, 0] where f(x) = 9x^3 takes on its average value of -18 is x = -∛2.
i hope i helped!
Rachel found 2 quarts on the floor.what decimal represents the 2 quarters
Binding constraints have
surplus resources.
zero slack.
negative slack
positive slack
Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.
binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.
1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.
2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.
In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.
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the following information regarding the amount of time that the students in my statistics class take to solve an exam problem are collected: the probability that the students take at least 2 minutes but not more than 4 minutes is 0.25. the probability that the students take at least 3 minutes but not more than 5 minutes is 0.38. the probability that the students take at least 4 minutes but not more than 6 minutes is 0.52. the probability that the students take at least 5 minutes but not more than 7 minutes is 0.34. the probability that the students take at least 6 minutes but not more than 8 minutes is 0.17. find the probability that a randomly selected student in the class would take more than 2 minutes and less than 3 minutes, or more than 7 minutes but less than 8 minutes, to solve an exam problem.
The probability that a randomly selected student in the class takes more than 2 minutes and less than 3 minutes, or more than 7 minutes but less than 8 minutes to solve an exam problem is 0.08.
To find the probability, we can analyze the given information. Let's denote the probability of taking at least x minutes but not more than y minutes as P(x ≤ time ≤ y).
We are interested in finding P(2 < time < 3) or P(7 < time < 8).
Using the given probabilities, we can calculate P(2 < time < 3) as follows:
P(2 < time < 3) = P(time ≥ 2) - P(time ≥ 3)
= P(2 ≤ time ≤ 4) - P(3 ≤ time ≤ 5)
From the information given, we know that P(2 ≤ time ≤ 4) = 0.25 and P(3 ≤ time ≤ 5) = 0.38.
Plugging these values into the equation, we get:
P(2 < time < 3) = 0.25 - 0.38 = -0.13
However, probabilities cannot be negative, so we know that the answer is not negative.
Thus, we can conclude that P(2 < time < 3) = 0.
Similarly, we can find P(7 < time < 8) using the given probabilities:
P(7 < time < 8) = P(6 ≤ time ≤ 8) - P(5 ≤ time ≤ 7)
From the information, we have P(6 ≤ time ≤ 8) = 0.17 and P(5 ≤ time ≤ 7) = 0.34.
Substituting these values, we get:
P(7 < time < 8) = 0.17 - 0.34 = -0.17
Again, probabilities cannot be negative, so P(7 < time < 8) = 0.
In conclusion, the probability that a randomly selected student takes more than 2 minutes and less than 3 minutes, or more than 7 minutes but less than 8 minutes to solve an exam problem is 0.08.
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If both pairs of opposite sides of a quadrilateral are congruent, then thequadrilateral is a parallelogram.A. TrueB. False
Answer:
True
Explanation:
Out of 1,200 students that attend Norman Rockwell Middle School, how many would most likely sign up for after school tutoring, if 48 out of 80 students randomly surveyed said they would like to have extra help after school?
Answer:
720
Step-by-step explanation:
Out of 80 students the no. of students who sign up=48
So, out of 1200 students 48×1200÷80=720 students sign up.
A toothbrush sells for $1.75, but the actually cost of materials for the toothbrush is $0.65. If the operating cost of
the factory and paying the workers is $5800 per day, what is the least amount of toothbrushes the company must sell
per day?
Answer:
X>5273
Step-by-step explanation:
I did the math cuz I needed the answer and got it right so hope I could help.
a consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. tube type a has mean brightness of 100 and standard deviation of 16, and tube type b has unknown mean brightness, but the standard deviation is assumed to be identical to that for type a. a random sample of tubes of each type is selected, and is computed. if equals or exceeds , the manufacturer would like to adopt type b for use. the observed difference is .
The probability that , Xb exceeds Xa , by 3.0 or more if ub and ua, are equal is 0.2537.
The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more probable it is that the event will take place.
Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. With it, we can only make predictions about the likelihood of an event happening, or how likely it is.
n1 = n2 = 25,
hypothesis,
standard error for difference,
\(\sqrt{\frac{16^2}{25} +\frac{16^2}{25} }\)
=4.525
z =(3-0)/4.525
z=0.663
P(z ≥ 0.663) = 0.2537.
No, there is not strong evidence that \(\mu _B\) is greater than \(\mu _A\).
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Complete question;
A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be identical to that for type A. A random sample of n = 25 tubes of each type is selected, and X -X, is computed. If u, equals or exceeds u,, the manufacturer would like to adopt type B for use. The observed difference is X,X, - 3.0. a. What is the probability that , exceeds X, by 3.0 or more if ug and u, are equal? b. Is there strong evidence that ug is greater than u,?
What is the surface area, in square inches, of a prism with a length of 10 inches, a width of 7 inches, and a height of 3 inches?
Answer:
measurement square meter
Step-by-step explanation:
thats good answer
sana po makatulong po sa inyo
po....................
The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y. Select the two correct answers.
Answer:
x=15 y=24
Step-by-step explanation:
This is because the rule is x goes up 3 y goes up 4
(9,12)->(x,20)
it skips one, so instead of adding 3 we add six
x=15
(15,20)->(18,y)
you follow the rule and 4.
Y=24
which of the following are the coordinates of the midpoint of a segment with endpoints of E (-3,-3) and F(9,-15)
Answer:
(3,-9)
Step-by-step explanation:
Xm = (-3+9)/2 = 6/2 = 3
Ym = (-3+(-15)/2 = (-3-15)/2 = -18/2 = -9
What is 1 2/3 multiple 2/3
Answer:
\(1\frac{1}{9}\)
Step-by-step explanation:
Given the following question:
\(1\frac{2}{3} \times\frac{2}{3}\)
In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.
\(1\frac{2}{3} =3\times1=3+2=\frac{5}{3}\)
\(\frac{5}{3} \times\frac{2}{3}\)
\(5\times2=10\)
\(3\times3=9\)
\(=\frac{10}{9}\)
Convert the improper fraction into a mixed number:
\(\frac{10}{9}\)
\(\frac{10}{9} =10\div9=1\frac{1}{9}\)
\(=1\frac{1}{9}\)
Your answer is "1 1/9."
Hope this helps.
Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place
Answer:
179.3 square units
Step-by-step explanation:
The area of the figure is the sum of the areas of the parts. That is, the area is the sum of the area of the rectangle, and the area of the semicircle.
__
SemicircleThe area of a circle with radius 5 is ...
A = πr²
A = π(5²) = 25π
The area of the semicircle is half that:
semicircle area = (25π)/2 = 12.5π ≈ 39.3 . . . . square units
RectangleThe area of a rectangle with length L and width W is ...
A = LW
The width of this rectangle is the diameter of the circle, twice the radius, or 10 units.
A = (14)(10) = 140 . . . . square units
Total areaThe sum of the areas of the parts is ...
total area = semicircle area + rectangle area
total area = 39.3 + 140 = 179.3 . . . . square units
To find the quotient 2/5 ÷ 1/4
multiply 2/5 by 4.
multiply 2/5 by 1/4
multiply 5/2 by 1/4
multiply 5/2 by 4.
Answer:
Multiply 2/5 by 4
Step-by-step explanation:
When you have a math operatation like this, what you need to do is to:
keep the first part like it is (2/5), change the division into a multiplication (÷-->×)Flip the second number (1/4-->4)Hope this helps, have a good day
A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $120, and the club is charging $10 per student that attends.
Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 100
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 140
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 140
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 120 through the point 2 comma negative 100
We would have a graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 100. Option A
Is it a straight line graph?We have to determine the nature of the graph that we have in the context of the question. In this case, we must recall that the function that we have would look something of the nature; y = 10x + 120 where y is the money raised and x is the number of students that attends the dance.
Here we can see that the nature of the equation just looks like the equation of the straight line graph that is given as; y = mx + c
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1. 81 1/2 x 27 1/3
2. 32x = 729
Answer:
1.
Step-by-step explanation:
1. 1.811/2=3.622 271/3=813
3.622*813=2,944.686
this is number one
2. 32x=729
divide both sides by 32
32x=729/32=
22.78125 approximate=22.8 or 23
Write an equation of the line below.
Answer: y=3/2x+4
Step-by-step explanation: The equation for the line below is \(y=\frac{3}{2}x +4\)
This equation is correct because the formula is y=mx+b. m is the slope and you can see the slope is \(\frac{3}{2}\) and x is to represent that the number is the slope. The b, or +4 represents where the line crosses over the x-axis.
The equation is \(y=\frac{3}{2}x +4\)
Let me know if you have any other questions about this problem.
-Your Brainly Helper!
Griffin ordered a pair of sneakers online. He had a $22 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. If the shoes cost $65, how much did Griffin charge to his credit card when he bought the sneakers?
Answer:$43
Step-by-step explanation:
65 -22 =43
Lars bought a carton of
eggs for $2.19. He handed
the cashier $5.00. How
much change did Lars
receive?
Answer:
$2.81
Step-by-step explanation:
Use one of the triangles to approximate PQ in the triangle below.
Choose 1 answer:
(Choice A)
4.5 units
(Choice B)
5.4 units
(Choice C)
9.1 units
(Choice D)
10.9 units
Answer:
The answer is B 5.4 units
Step-by-step explanation:
The approximate value of PQ in the right angle triangle is 5.4 units.
Right angle triangleA right angle triangle has one of its angles as 90 degrees. Therefore, the sides can be found by trigonometric ratios.
Hence,
sin 50 = opposite / hypotenuse
sin 50 = PQ / 7
cross multiply
PQ = 7 sin 50°
PQ = 7 × 0.76604444311
PQ = 5.36231110183
PQ = 5.4 units
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What is the area of the trapezoid?
12 ft 2
14 ft 2
13 ft 2
10 ft 2
Answer:
10 ft 2
Step-by-step explanation:
A=a+b2h=3+72·2=10
PLEASE HELP IM NOT VERY GOOD At GRIDS
Answer:
The answer is (-4, -2)
Step-by-step explanation:
Answer:
(-4,-2)
Step-by-step explanation:
since it's left of the origin, x is negative
since it's below the x axis, y is negative as well
If you ever have trouble with problems like these try graphing it, it can help
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A city receives 1 inches of snowfall every 4 hours. Write and graph a function that describes the relationship. How long does it take to receive 1 foot of snow? Use x for the independent variable and y for the dependent variable.
A function is y =
It takes _ hours to recieve 1 foot of snow
Answer:
48 hours
Step-by-step explanation:
1 x 12 = 12, 12 inches in a foot
4 x 12 = 48
Function: y = 1/4x
The dependent variable is the amount of snowfall and the independent variable is the counting of hours.
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A circular pizza that is 11 inches in diameter is cut into 4 equal slices. What is the area of one of the slices?
Answer:
23.8
Step-by-step explanation: