Answer:
The answer is: A
Step-by-step explanation:
Answer:
a) q<0
Step-by-step explanation:
[tex] \frac{q}{r} < 0 \\ = r \times \frac{q}{r} < 0 \times r \\ = q < 0[/tex]
I NEED HELP ON THIS ASAP! JUST THE QUESTION BELOW THE TABLE
The proof that the table has a constant ratio is shown below
Proving that the table has a constant ratioFrom the table of values, we have the following parameters that can be used in our computation:
f(x + 1) = ab^(x + 1)
f(x + 2) = ab^(x + 2)
f(x + 3) = ab^(x + 3)
When divided, we get the ratio r
So, we have
r = f(x + 3)/f(x + 2) = f(x + 2)/f(x + 1)
This gives
ab^(x + 3)/ab^(x + 2) = ab^(x + 2)/ab^(x + 1)
Divide through by a
b^(x + 3)/b^(x + 2) = b^(x + 2)/b^(x + 1)
Using the law of indices, we have
b^(x + 3 - x - 2) = b^(x + 2 - x - 1)
Evaluate
b^0 = b^0
This gives
1 = 1
Hence, the table has a constant ratio
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a stone pyramid in egypt has a square base that measures 140 m on each side. the height is 91 m. what is the volume of the pyramid?
the volume of the pyramid is approximately 593,866.67 cubic meters.
To find the volume of the pyramid, we first need to use the formula for the volume of a pyramid, which is:
[tex]V = \frac{1}{3} * base area * height[/tex]
Since the pyramid has a square base, the base area can be found by multiplying the length of one side by itself:
base area = 140 m * 140 m = 19,600 m²
Now we can plug in the values for the base area and height into the formula:
V = (1/3) * 19,600 m^2 * 91 m
V = 1/3 * 1,781,600 m³
V = 593,866.67 m³
Therefore, the volume of the pyramid is approximately 593,866.67 cubic meters
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The volume of the pyramid is approximately 594,533.33 cubic meters.
To find the volume of a stone pyramid in Egypt with a square base that measures 140 meters on each side and a height
of 91 meters, you'll need to use the formula for the volume of a pyramid:
Volume = (1/3) × Base Area × Height
Calculate the base area by squaring the side length:
Base Area = Side × Side = 140 m × 140 m = 19,600 m²
Multiply the base area by the height:
Base Area × Height = 19,600 m² × 91 m = 1,783,600 m³
Multiply the result by (1/3) to get the volume:
Volume = (1/3) × 1,783,600 m³ = 594,533.33 m³ (rounded to two decimal places)
So, the volume of the pyramid is approximately 594,533.33 cubic meters.
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Y = 5/x, y = 5/x2, x = 3 Find the area of the region
The area of the region bounded by the curves y = 5/x and y = 5/x^2, and the vertical line x = 3 is approximately 7.385 square units.
To find the area of the region bounded by the curves, we need to first determine the points of intersection between them.
Setting the two given functions equal to each other, we have
5/x = 5/x^2
Multiplying both sides by x^2, we get
5x = 5
Solving for x, we get
x = 1
So the curves intersect at x = 1.
Next, we need to determine the limits of integration. The region is bounded by the vertical line x = 3, so we integrate from x = 1 to x = 3.
The area is given by
A = [tex]\int\limits^3_1[/tex] [(5/x) - (5/x^2)] dx
Using the power rule of integration, we get:
A = [5ln(3) + (5/3)] - [5ln(1) + (5/1)]
Simplifying, we get
A = 5ln(3) + (10/3)
A = 7.385 square units
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Which single basic motion will make these figures coincide?
The single basic motion that will make the figures coincide are
1) a linear motion.
2) Linear motion
3) Rotational motion
4) Translational motion
5) Rotational motion
6) translational motion
What are the basic motions in Physics?Here are some basic motions in physics:
Linear motion: This is the motion of an object in a straight line, such as a car moving down a highway or a ball being thrown straight up.
Circular motion: This is the motion of an object moving in a circle, such as a car driving around a roundabout or a satellite orbiting the Earth.
Projectile motion: This is the motion of an object that is thrown, launched, or dropped and then moves under the influence of gravity alone. Examples include a cannonball being fired or a basketball being shot.
Oscillatory motion: This is the motion of an object that repeats the same motion over and over again, such as a pendulum swinging back and forth or a guitar string vibrating.
Rotational motion: This is the motion of an object that rotates around a fixed axis, such as a spinning top or a bicycle wheel.
Translational motion: This is the motion of an object that moves from one place to another, such as a train moving from one station to the next.
Wave motion: This is the motion of a disturbance that travels through a medium, such as sound waves or ocean waves.
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a survey reports that 67% of college students prefer to drink more coffee during the exams week. if we randomly select 80 college students and ask each whether they drink more coffee during exams week. what is the probability that at most 60 say that they drink coffee during exam week?
From that 80 college students, the probability that at most 60 say that they drink coffee during exam week is 0.3085
This is a binomial distribution problem in which we want to know the probability it is that at least 60 students out of 80 choose to drink coffee during test week.
Here, we have:
n = 80 (number of trials)
p = 0.67 (probability of success in each trial)
q = 1 - p = 0.33 (probability of failure in each trial)
x ≤ 60 (number of successes we want to find the probability for)
This probability may be calculated using the binomial cumulative distribution function (CDF). The binomial CDF formula is as follows:
P(X ≤ k) = Σi=[tex]0^{K}[/tex] ([tex]_{n}C^{i} }[/tex]) * [tex]p^{i}[/tex] * ([tex](1-p)^{n-i}[/tex]
We can determine the chance of having 60 or fewer successes using this formula:
P(X ≤ 60) = Σi=[tex]0^{60}[/tex] ([tex]_{80} C^{i}[/tex]) * [tex]0.67^{i}[/tex] * [tex]0.33^{80-i}[/tex]
P(X ≤ 60) = 0.3085
As a result, the probability that at least 60 college students claim they consume coffee during test week is 0.3085, or around 31%. As a result, 0.3085 is the correct answer.
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Can someone help me asap? It’s due tomorrow. I will give brainiest if it’s correct. Provide an explanation
We can expect approximately 144 students in Chloe's school to own pets. The answer is 144.
What is mean by Proportion ?A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)
Based on the simulation results, we can count the number of times the number cube landed on digits 1, 2, 3, and 4, which represent the number of students who own pets. We add up these counts and divide by the total number of rolls (25) to get the proportion of rolls that resulted in a student owning a pet:
(5+1+4+4+3+3+2+2+2+1+5+2+1) / 25 = 0.6
So, approximately 60% of the rolls resulted in a student owning a pet. If we assume this proportion holds for the entire school, we can estimate the number of students who own pets out of the total number of students in the school:
Number of students who own pets = Proportion of students who own pets * Total number of students
Number of students who own pets = 0.6 * 240 = 144
Therefore, we can expect approximately 144 students in Chloe's school to own pets. The answer is 144.
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The function S(d) = √9.8d estimates the speed, S, in meters/second (m/s),
of a tsunami based on the ocean depth, d, in meters (m).
Determine the speed, in (m/s), of a tsunami at the depth of 2145 m. Round your
answer to the nearest thousandth.
To find the speed of the tsunami at the depth of 2145 meters, you can use the given function:
S(d) = √(9.8 * d)Plug in the value of d (2145 meters):
S(2145) = √(9.8 * 2145)S(2145) ≈ √(21001)S(2145) ≈ 144.917Rounded to the nearest thousandth, the speed of the tsunami at a depth of 2145 meters is approximately 144.917 m/s.Which of the following best describes the expression 9(x + 7)? (20 brainly points)
A: The sum of constant factors 9 and x + 7
B: The product of constant factors 9 and x + 7
C: The product of a constant factor 9 and a 2-term factor x + 7
D: The sum of a constant factor 9 and a 2-term factor x + 7
The statement that express 9(x + 7) is product of constant factors 9 and x + 7. The Option B.
What does the expression 9(x + 7) represent?The expression 9(x + 7) represents the product of constant factors 9 and x + 7. To evaluate the expression, you would distribute the 9 to both terms inside the parentheses, resulting in 9x + 63.
This expression can also be written as a 2-term factor of 9 and x + 7. It is important to understand the different terms and factors in an expression to simplify and solve equations.
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The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is
The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.
What is probability?The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.
P(A|B) = P(A and B) / P(B)
P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)
= (3/9) x (4/10) + (2/9) x (4/10) = 14/90
To find P(B), we know that it is 0.4.
Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:
P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39
So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.
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‼️WILL MARK BRAINLIEST‼️
One advantage of being able to see each individual data point in a graph when comparing two data sets is that it allows for a more detailed and nuanced analysis of the data.
What is correlation?A statistical relationship in which a change in one variable is correlated with a change in the other is known as correlation. Causation, which describes a causal link between two variables in which a change in one variable directly causes a change in the other variable, is not implied by correlation. In other words, there might be a correlation without a cause. It is possible for two variables to be connected by coincidence or only because they both react to a third, underlying factor. To establish causality,
When comparing two data sets, one benefit of being able to view each individual data point on a graph is that it enables a more thorough and nuanced study of the data. We can spot any outliers or abnormalities that might be impacting the overall trend or pattern in the data by examining individual data points. The dispersion or concentration of values in each collection of data points can be compared as well, which may reveal differences or similarities between the sets that aren't immediately obvious from a summary statistic or broad trend.
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One angle of a triangle is three times as large as another. The measure of the third angle is 80° more than that of the smallest angle. Find the measure of each angle.
The measure of the smallest angle is.
Answer: Let x be the measure of the smallest angle in the triangle. Then we have:
One angle is three times as large as another, so the second angle is 3x.
The third angle is 80° more than the smallest angle, so it is x + 80.
The sum of the angles in a triangle is always 180°, so we can write an equation:
x + 3x + (x + 80) = 180
Simplifying and solving for x, we get:
5x + 80 = 180
5x = 100
x = 20
Therefore, the smallest angle in the triangle is x = 20 degrees, the second angle is 3x = 60 degrees, and the third angle is x + 80 = 100 degrees.
Step-by-step explanation:
what is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds ?
The maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.
Let's assume the first odd integer is x. Then, the sum of the next n consecutive odd integers would be given by:
x + (x+2) + (x+4) + ... + (x+2n-2) = nx + 2(1+2+...+n-1) = nx + n(n-1)
We want to find the largest n such that the sum is less than or equal to 401:
nx + n(n-1) ≤ 401
Since the integers are positive and odd, we can start with x=1 and then try increasing values of n until we find the largest value that satisfies the inequality:
n + n(n-1) ≤ 401
n² - n - 401 ≤ 0
Using the quadratic formula, we find that the solutions are:
n = (1 ± √(1+1604))/2
n ≈ -31.77 or n ≈ 32.77
We discard the negative solution and round down to the nearest integer, giving us n = 11. Therefore, the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401 is 11.
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Complete Question:
what is the maximum number of consecutive odd positive integers that can be added together before the sum exceeds 401?
the rule T(-3,1) is applied to point 2,-7 in which part of the coordinate system is the translated point
the translated point is located in the third quadrant of the coordinate system, since both coordinates are negative.
What is Cartesian coordinate?
A coordinate system, also known as a Cartesian coordinate system, is a system used to describe the position of points in space. It is named after the French mathematician and philosopher René Descartes, who introduced the concept in the 17th century. In a coordinate system, each point is assigned a unique pair of numbers, called coordinates, that describe its position relative to two perpendicular lines, called axes. The horizontal axis is usually labeled x and the vertical axis is usually labeled y.
To apply the translation rule T(-3, 1) to the point (2, -7), we need to add the translation vector (-3, 1) to the coordinates of the point:
(2, -7) + (-3, 1) = (-1, -6)
The resulting point after the translation is (-1, -6).
Therefore, the translated point is located in the third quadrant of the coordinate system, since both coordinates are negative.
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A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 240 ft3 If they already have the length measured at 8 feet and the width at 6 feet, what is the height needed to reach the desired volume?
(A) 3 feet
(B) 3.5
(C) 4 feet
(D) 5 feet
Answer: The answer to your question is D! Brainliest?
Step-by-step explanation:
To find the height needed to reach a volume of 240 ft^3, we can use the formula:
Volume = length x width x height
Substituting the given values, we get:
240 = 8 x 6 x height
Simplifying:
240 = 48 x height
height = 240/48
height = 5
Therefore, the height needed to reach a volume of 240 ft^3 is 5 feet.
Answer: (D) 5 feet.
Find the value of x . Write the answer as a fraction in simplest form or a decimal rounded to the nearest hundredth.
The value of x to the nearest hundredth is 14.12.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. The ratio of the corresponding sides of similar triangles are equal.
Also for two angles to be similar, the corresponding angles must be equal.
Triangle ABC and BCD are similar. Therefore ;
30/34 = x/16
34x = 30×16
34x = 480
divide both sides by 34
x = 480/34
x = 14.12( nearest hundredth)
therefore the value of x is 14.12.
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URGENT PLEASE HELP ME I NEED TO PASS!!! I WILL GIVE SOMEONE BRAINLIEST!
What is the slope of the line passing through the points (1, 2) and (5, 4)?
A: -2
B: 1/2
C: 1
D: 2
Answer:B 1/2
Step-by-step explanation:
We can use the slope formula to find the slope of the line passing through the two points:
slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we get:
slope = (4 - 2) / (5 - 1)
slope = 2 / 4
slope = 1/2
Therefore, the slope of the line passing through the points (1, 2) and (5, 4) is B: 1/2.
when utilizing a matlab built-in ode solver, in the function for one's states the variable for the state derivatives must be organized as a column vector. group of answer choices true false
It is true to say that when utilizing MATLAB's built-in ode solver, the function for one's states the variable for the state derivatives must be set as column vectors.
The Ordinary Differential Equation (ODE) solvers in MATLAB solve initial value problems with a varient state of properties. They consider state spaces as a column vector. For example, two solve a second degree ODE, It's two states in state space has to be arranges in a 1x2 column vector to pass it into a ODE solver.
Initial value problems with different attributes can be solved using theODE solvers in MATLAB.
Here the first ODE is of third order, so it will be converted to three equivalent first order ODEs. The second ODE is second order, so it will be converted to two equivalent first order ODEs.These solver can be used to solve the different type like the differential algebraic equations (DAEs), problems involving a mass matrix, and fully implicit problems. ODE45, is most frequently used ODE solver in MATLAB.It used to compare methods of orders four and five to determine an estimate error.
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PLEASE HURRY
ANSWER ASAP AND PLEASE BE CORRECT FOR BRAINLIST
Question 12
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
Question 13
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.
Question 14
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
12) There were about 557 principals in attendance. 13) Option A: The college will have about 480 students who prefer cookies. 14) Option C: bar graph, title favorite sport and the x axis labeled sport and the y axis.
What is proportion?A percentage is a relationship between two values that have the same units and scale and are measured in different amounts. Proportions, which show the relative size or magnitude of one number in comparison to another, are frequently stated as ratios, fractions, or percentages. A class with 8 girls and 12 boys, for instance, has a girl-to-boy ratio of 8:12, or 2:3, which indicates that there are 3 guys for every 2 girls in the class. Numerous branches of mathematics and science, such as statistics, geometry, and physics, use proportions. In statistics, proportions are frequently used to describe how a population or sample is distributed.
12) For the number of principals in conference we set up a proportionality with total people as follows:
We know that, 52 principals out of 70 people thus:
52/70 = x/750
Now,
x = (52/70) * 750
x = 557.14
Hence, we can predict that there were about 557 principals in attendance at the conference.
13) Given that, out of 225 students 27 prefer cookies thus,
27/225 = 0.12
That is 12% students like cookies.
Now, for the total number of students we have:
0.12 * 4000 = 480
Thus, option A: The college will have about 480 students who prefer cookies.
14) For the collected data the best representation is option C: bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.
15) For the given description of the line plot the median is:
For Bus 47 = 16
For Bus 18 = 13
The faster bus is Bus 47, with a median of 16.
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Kubin Company’s relevant range of production is 25,000 to 33,500 units. When it produces and sells 29,250 units, its average costs per unit are as follows: Average Cost per Unit Direct materials $ 8. 50 Direct labor $ 5. 50 Variable manufacturing overhead $ 3. 00 Fixed manufacturing overhead $ 6. 50 Fixed selling expense $ 5. 00 Fixed administrative expense $ 4. 00 Sales commissions $ 2. 50 Variable administrative expense $ 2. 00 Required: 1. For financial accounting purposes, what is the total amount of product costs incurred to make 29,250 units? 2. For financial accounting purposes, what is the total amount of period costs incurred to sell 29,250 units? 3. For financial accounting purposes, what is the total amount of product costs incurred to make 33,500 units? 4. For financial accounting purposes, what is the total amount of period costs incurred to sell 25,000 units? (For all requirements, do not round intermediate calculations. )
1. Total amount of product costs
2. Total amount of period costs incurred
3. Total amount of product costs
4. Total amount of period costs
For the relevant range of production of units total amount of product and period cost as per units are,
Total amount of product costs for 29,250 units is $687,375.
Total amount of period costs incurred for 29,250 units is $58,511.50
Total amount of product costs for 33,500 units is equal to $787,250.
Total amount of period costs for 25,000 units is equal to $50,011.50.
Average Cost per Unit Direct materials = $ 8. 50
Direct labor = $ 5. 50
Variable manufacturing overhead = $ 3. 00
Fixed manufacturing overhead = $ 6. 50
Fixed selling expense = $ 5. 00
Fixed administrative expense = $ 4. 00
Sales commissions = $ 2. 50
Variable administrative expense = $ 2. 00
Total unit produced = 29,250 units,
Total product costs
= (Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead) x Number of units produced
= ($8.50 + $5.50 + $3.00 + $6.50) x 29,250
= $23.50 x 29,250
= $687,375
The total amount of product costs incurred to make 29,250 units is $687,375.
Total period costs
= Fixed selling expense + Fixed administrative expense + Sales commissions + (Variable administrative expense x Number of units sold)
= $5.00 + $4.00 + $2.50 + ($2.00 x 29,250)
= $5.00 + $4.00 + $2.50 + $58,500
= $58,511.50
The total amount of period costs incurred to sell 29,250 units is $58,511.50
For the number of units produced changed to 33,500.
Total product costs
= (Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead) x Number of units produced
= ($8.50 + $5.50 + $3.00 + $6.50) x 33,500
= $23.50 x 33,500
= $787,250
The total amount of product costs incurred to make 33,500 units is $787,250.
The number of units sold changed to 25,000.
Total period costs
= Fixed selling expense + Fixed administrative expense + Sales commissions + (Variable administrative expense x Number of units sold)
= $5.00 + $4.00 + $2.50 + ($2.00 x 25,000)
= $5.00 + $4.00 + $2.50 + $50,000
= $50,011.50
The total amount of period costs incurred to sell 25,000 units is $50,011.50.
Therefore, the total amount of the product and period cost for different situations are,
Total amount of product costs is equal to $687,375.
Total amount of period costs incurred is equal to $58,511.50
Total amount of product costs is equal to $787,250.
Total amount of period costs is equal to $50,011.50.
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The area of a rectangle is 8811m if the width of the garden is 89 m what’s the length
The length of the garden is 99 m.
What’s the length?The formula for the area of a rectangle is:
Area = Length x Width
We are given that the area of the rectangle is 8811 [tex]m^{2}[/tex] and the width is 89 m. Substituting these values into the formula, we get:
8811 [tex]m^{2}[/tex] = Length x 89 m
To solve for the length, we can divide both sides of the equation by 89 m:
Length = 8811 [tex]m^{2}[/tex] / 89 m
Simplifying, we get:
Length = 99 m
Therefore, the length of the garden is 99 m.
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an agency has specialists who analyze the frequency of letters of the alphabet in an attempt to decipher intercepted messages. suppose a particular letter is used at a rate of 6.6%. what is the mean number of times this letter will be found on a typical page of 2650 characters? 174.9 what is the standard deviation for the number of times this letter will be found on a typical page of 2650 characters ? round your answer to 1 decimal place. in an intercepted message, a page of 2650 characters is found to have the letter occurring192 times. would you consider this unusual?
Standard deviation normal distribution table or calculator to determine the probability of observing a z-score of 1.3 or higher.
The probability is approximately 0.0968, or 9.68%.
To determine the mean number of times the letter appears on a page, we can multiply the probability of the letter appearing (0.066) by the total number of characters on the page (2650):
[tex]Mean = 0.066 \times 2650 = 174.9[/tex]
To calculate the standard deviation, we can use the formula:
Standard deviation = [tex]\sqrt(n \times p \times q)[/tex]
n is the sample size (2650), p is the probability of success (0.066), and q is the probability of failure [tex](1 - p = 0.934)[/tex].
Standard deviation = [tex]sqrt(2650 \times 0.066 \times 0.934) = 13.2[/tex] (rounded to 1 decimal place)
Determine whether 192 occurrences of the letter on a page is unusual, we can use the z-score formula:
z = (x - mean) / standard deviation
x is the observed number of occurrences (192), mean is the expected number of occurrences (174.9), and standard deviation is the standard deviation we just calculated (13.2).
[tex]z = (192 - 174.9) / 13.2 = 1.3[/tex]
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a survey asked 26 adults how many years of education they had. the sample mean was 13.03 with a sample standard deviation of 3.22. it is reasonable to assume that the population is approximately normal with unknown population standard deviation. construct a 90% confidence interval for the mean number of years of education.
The no of years of education= (11.95, 14.11)
what is sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.
what is mean?In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organised in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
Given: Sample size : n= 26
Sample mean :
Sample standard deviation : s = 3.22
Significance level :
Degree of freedom: df = n-1 = 25
Critical t-value for and df = 25 will be
90% confidence interval for mean:
90% confidence interval for mean:
to/2.df
3.22
= 13.03(1.7081)-
√26 3.22
= 13.03(1.7081);
5.09902
(13.03-1.08, 13.03 +1.08)
= 13.03 1.08
=(11.95, 14.11)
A 90% confidence interval for the mean number of years of education = (11.95, 14.11)
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The polygon is a floor plan for a computer lab. What is the area of the polygon? Use pencil and paper. Describe two
ways to solve this problem.
The area of the polygon is ft²
30 ft
12 ft
7 f
19 ft
7 f
Area of the polygon 542.5ft²
Define polygonA polygon is a two-dimensional geometric shape that is made up of a finite number of line segments that are connected end-to-end to form a closed shape. The line segments of a polygon are called sides, and the points where the sides meet are called vertices.
A polygon can have any number of sides, but must have at least three. Some examples of polygons include triangles, squares, rectangles, pentagons, hexagons, and so on.
First way:
Area of the polygon=Area of small rectangular part+ area of trapezium part
=7×7 + 1/2(23+12)×26
49+455
=504ft²
Second Way
Area of the polygon= area of trapezium part-Area of rectangular par=1/2×26(30+19)-19×7=504ft
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A drawer contains 3 red paper clips, 4 green paper clips, and 5 blue paper clips. One paper clip is taken from the drawer and is NOT replaced. Another paper clip is taken from the drawer. What is the probability that the first paper clip is red and the second paper clip is blue?
The probability of drawing a red paper clip first and a blue paper clip second is 15/132 or approximately 0.1136.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
The probability of drawing a red paper clip on the first try is 3/12, because there are 3 red paper clips out of 12 total paper clips in the drawer. Once a paper clip has been removed, there are 11 paper clips remaining, so the probability of drawing a blue paper clip on the second try is 5/11, because there are 5 blue paper clips remaining out of the 11 total remaining paper clips.
The probability of both of these events occurring is the product of their individual probabilities, so the probability of drawing a red paper clip first and a blue paper clip second is:
(3/12) * (5/11) = 15/132
Therefore, the probability of drawing a red paper clip first and a blue paper clip second is 15/132 or approximately 0.1136.
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I need the answer for this question
Answer:
9 cm.
Step-by-step explanation:
The formula for the volume of a cylinder is base×height
If the base is a circle, then the formula is V=r²π×h, because the formula for the area of a circle is r²π.
We already have the area of the base, which equates to 22cm², and its volume, now all we need to do is find the height.
198=22×h
h=198/22
h=9 cm
Hope this helps!
Under her cell phone plan, Bao pays a flat cost of $40.50 per month and $5 per gigabyte. She wants to keep her bill under $60 per month. Write and solve an inequality which can be used to determine
�
g, the number of gigabytes Bao can use while staying within her budget.
Answer:
40.50 + 5g < 60.00
5g < 19.50
g < 3.9 gigabytes
Trey y sus amigos compaten un frasco de manzana de 12 onzas en partes iguales cuanta compota de manzana en onzas recibe cada persona
The number of ounces of apple sauce each person gets is given by option (B) 2 2/5 ounces.
Total amount of applesauce jar = 12 ounces
Number of friends = 4
If Trey and his four friends equally share a 12 ounce jar of apple sauce.
Then the total amount of apple sauce will be divided into 5 equal parts (Trey + 4 friends).
The amount of apple sauce that each person receives,
Divide the total amount of apple sauce by the number of people,
⇒Amount of apple sauce per person
= Total amount of apple sauce / Number of people
= 12 ounces / 5 people
= 2.4 ounces
In mixed number form it is written as ,
2.4 ounces = 2 2/5 ounces
Therefore, each person receives ounces of apple sauce, is equal to option (B) 2 2/5 ounces .
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The above question is incomplete , the complete question is:
Trey and his four friends equally share a 12 ounce jar of apple sauce. how much applesauce, in ounces, does each person receive?
A. 5/12
B. 2 2/5
C. 17
D. 60
A line passes through the point (-8, 5) and has a slope of - 5/4.
Write an equation in slope-intercept form for this line.
Helpp
[tex]y=-\frac{5}{4}x -5[/tex]Answer:
Step-by-step explanation:
If sin(a) = 6/7 and tan(a) < 0, determine the exact value of cot(a)
Therefore, the exact value of cot(a) is -[tex](\sqrt(13)/6[/tex]).
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It involves the study of the properties of trigonometric functions such as sine, cosine, and tangent, as well as their applications in solving problems involving angles and distances.
Trigonometry is commonly used in fields such as physics, engineering, navigation, surveying, astronomy, and many others. It is also an important part of mathematics education, often taught in high school and college-level courses.
The basic concepts of trigonometry include the definitions of the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent), the Pythagorean theorem, and the unit circle. With these concepts, it is possible to solve a wide range of problems involving angles and distances, including calculating heights, distances, and angles in a variety of real-world applications.
We can use the following trigonometric identity to find the value of cotangent in terms of sine and cosine:
[tex]cot(a) = cos(a) / sin(a)[/tex]
To find cos(a), we can use the Pythagorean identity:
[tex]sin^2(a) + cos^2(a) = 1[/tex]
We know that sin(a) = 6/7, so we can solve for cos(a):
[tex]cos^2(a) = 1 - sin^2(a)[/tex]
[tex]cos^2(a) = 1 - (6/7)^2[/tex]
[tex]cos^2(a) = 1 - 36/49[/tex]
[tex]cos^2(a) = 13/49[/tex]
[tex]cos(a) = ±\sqrt(13/49)[/tex]
Since we know that tan(a) < 0, we know that a is in the second or fourth quadrant, where cosine is negative. Therefore, [tex]cos(a) = -\sqrt(13/49)[/tex].
Now we can find cot(a):
[tex]cot(a) = cos(a) / sin(a)[/tex]
[tex]cot(a) = (-\sqrt(13/49)) / (6/7)[/tex]
[tex]cot(a) = -(\sqrt(13)/6)[/tex]
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A triangle has vertices at (-1,5), (4,2), and (1,2).
If a triangle has vertices at (-1,5), (4,2), and (1,2). The perimeter of the triangle is: 12.44 units.
What is the perimeter of the triangle?To find the perimeter of the triangle, we need to calculate the distance between each pair of vertices and then add them up. We can use the distance formula to find the distance between two points:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the three sides of the triangle:
Side 1: Distance between (-1,5) and (4,2)
= sqrt((4 - (-1))^2 + (2 - 5)^2)
= sqrt(5^2 + (-3)^2)
= sqrt(34)
Side 2: Distance between (4,2) and (1,2)
= sqrt((1 - 4)^2 + (2 - 2)^2)
= sqrt((-3)^2 + 0^2)
= 3
Side 3: Distance between (1,2) and (-1,5)
= sqrt((-1 - 1)^2 + (5 - 2)^2)
= sqrt((-2)^2 + 3^2)
= sqrt(13)
Now, we can add up the three sides to get the perimeter:
Perimeter = Side 1 + Side 2 + Side 3
= sqrt(34) + 3 + sqrt(13)
≈ 12.44 (rounded to two decimal places)
Therefore, the perimeter of the triangle is approximately 12.44 units.
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The complete question is:
A triangle has vertices at (-1,5), (4,2), and (1,2). What is the perimeter of the triangle.