Answer:
x= 70
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
Autumn went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $22, but the price with tax came to $23. 98. Find the percent sales tax.
the percent sales tax can be calculated as : sales tax percent = sales tax * 100 = $ 527.56 * 100 = 52756
the percent sales tax = sales tax = list price * sales tax rate
= $22 * $23. 98
= $ 527.56
sales tax percent = sales tax * 100
= $ 527.56 * 100
= 52756
Sales tax is a kind of tax that is charged at the time a thing or administration is sold. The purchaser pays the tax to you, and you transmit the tax to the applicable government tax collection body. The taxes that are gathered by every office are then shipped off different divisions at the nearby, region, and state levels to guarantee their continuous activities and capabilities.
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The great pyramid of Giza is shaped like a rectangular pyramid. The volume of the pyramid is 2594046 cubic meters. If the square base has sides of 230. 04, how tall is the pyramid
The height of the pyramid is approximately 146.7 meters
The volume of a rectangular pyramid can be calculated using the formula:
V = (1/3) × B × h
Where V is the volume, B is the base area, and h is the height of the pyramid.
We are given that the volume of the pyramid is 2594046 cubic meters and the base has sides of 230.04 meters. Therefore, the area of the base is:
B = side^2 = 230.04^2 = 52921.6016 square meters
Substituting the given values in the formula for volume, we get:
2594046 = (1/3) × 52921.6016 × h
Solving for h, we get:
h = (3 × 2594046) / 52921.6016
h ≈ 146.7 meters
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A bank loan processing system has three components with individual reliabilities as shown: R 1 = 0.82 R 2 = 0.991 R 3 = 0.98 What would be the reliability of the bank system above if each of the three components had a backup with a reliability of 0.80? How would the total reliability be different?
To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.
In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:
R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801
So, the reliability of the bank loan processing system without backup components is approximately 0.801.
Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.
Let's calculate the reliability of each component with the backup:
R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984
R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988
R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992
Now, we calculate the overall reliability of the system with the backups:
R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981
Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.
Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.
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In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=2.3 in. and CD=5.7 in.. What is the length of AC¯¯¯¯¯? Enter your answer in the box. Round your answer to the nearest hundredth. in.
Answer:
3.62
Step-by-step explanation:
It was the right answer in the test :)
8) What is the area of parallelogram RSTU? *
A) 24 sq. units
B) 26 sq. units
C) 32 sq. units
D) 38 sq. units
Asking for a friend help 3a((2a-1)^2-(2a-1)(a+1)+(a+1)^2y
Answer: the equation would be a-1
If you use the correct formula, you can solve the hardest questions in math
The entries in the index of the National Codes are listed under one main term. True or False?
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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10y + 9x = -9
10y + 5x= -5
x=
y=
Answer: x=-1 and y=0 .
Step-by-step explanation:
The given linear equations:
\(10y + 9x = -9\ ...(i)\\\\10y + 5x= -5\ ...(ii)\)
Subtract (ii) from (i) , we get
\(10y+9x-(10y+5x)=-9-(-5)\\\\\Rightarrow\ 10y+9x-10y-5x=-9+5\\\\\Rightarrow\ 4x=-4\\\\\Rightarrow\ x=-1\)
Put value of x in (i), we get
\(10y+9(-1)=-9\\\\\Rightarrow\ 10y-9=-9\\\\\Rightarrow\ 10y=-9+9=0\\\\\Rightarrow\ y=0\)
Hence, x=-1 and y=0 .
If the volume of a cube shaped box is 795 cubic inches, which equation would you uses to determine how many 1-inch cubes could fit along one side.
Pls help ASAP
3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
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In computing the "pth" percentile if the index "i" is an integer the "pth" percentile is the
a. data value in position "i"
b. data value in position "i" + 1
c. average of data values in position "i" and "i" + 1
The index "i" is an integer, then the "pth" percentile is simply the data value in position "i".
How the answer depends on the specific definition?The answer depends on the specific definition used for computing percentiles. However, the most common convention is to use linear interpolation, in which the "pth" percentile is the weighted average of the data values in positions "i" and "i+1", where "i" is the integer part of the index of the "pth" percentile, with weights given by the fractional part of the index. In other words, if "d(i)" and "d(i+1)" are the data values in positions "i" and "i+1", respectively, and "f" is the fractional part of the index, then the "pth" percentile is given by:
(1-f) * d(i) + f * d(i+1)
If the index "i" is an integer, then the "pth" percentile is simply the data value in position "i".
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LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm, and
The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.
Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:
x² + (LV/2)² = DV²/4
y² + (OE/2)² = LE²/4
Simplifying each equation and substituting the given values, we get:
x² + (LV/2)² = 81/4
y² + (OE/2)² = 225/4
We also know that the diagonals bisect each other, so we can set up another equation:
LV/2 + OE/2 = LO = VE
Substituting the given value for LE, we get:
LV/2 + OE/2 = 15
Solving this equation for one of the variables, we get:
LV = 30 - OE
Substituting this expression into the first equation above, we get:
x² + ((30 - OE)/2)² = 81/4
Simplifying and rearranging, we get:
OE² - 60OE + 675 = 0
Using the quadratic formula, we get:
OE = (60 ± √(3600 - 2700)) / 2
OE = 15 or 45
If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:
x² + 7.5² = 81/4
y² + 7.5² = 225/4
Solving these equations, we get:
x = 3√7
y = 9/√7
If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:
LV = OE = 15
x = 3√7
y = 9/√7
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Complete question:
LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.
I don’t really understand this
Answer
pretty sure its a or c, sorry I cant be more specific
Step-by-step explanation:
People use water to cook clean and drink every day . it is estimated that 16.8% of the water used each day is for cleaning. if a family uses 67.2 gallons of water per day for cleaning how many total gallons do they use per day
400 gallons of water are used everyday.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Percentage of water used for cleaning= 16.8%
Gallons of water used for cleaning= 67.2
Let the number of gallons used everyday be represented by g. Then,
16.8 % of g = 67.2
16.8/100 × g = 67.2
0.168 × g = 67.2
g= 400 gallons
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Use the drop-down menus to complete the statements. 42 is 32 32. therefore, △jkl is . 52 is 32 42. applying the same method, △abc is .
Applying the same method is right. Δ ABC is right angle triangle.
the drop down menu
the statements are
\(4^2 \ is < 3^2 +3^2\)
to prove that
the value of
\(4^{2}\) is 16
the value of \(3^2\) is 9
so the statement is
16 < 9+9
16 < 18
as given 16 is less than 18
therefore Δ JKL is an acute angled triangle
A triangle with acute interior angles is known as an acute angle triangle. Remember the angle is acute that is one that is less than 90 degrees.
By applying the same method
\(5^2 = 3^2 +4^2\)
the value of 5 to the power 2 is
=> 25 = 9+16
=> 25 =25
we can say that the statement is true
at the same method Δ ABC is a right angled triangle
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we simply had to subtract the two numbers given in the statement and apply the same method to the second statement. This method allows us to easily solve problems such as these.
52 - 32 = 20; △abc = 20
First, subtract the two numbers given in the statement: 42 - 32 = 10.
Next, apply the same method to the second statement and subtract the two numbers: 52 - 32 = 20.
The answer for the first statement is then 10; △jkl = 10.
The answer for the second statement is then 20; △abc = 20.
To solve this problem, we must first subtract the two numbers given in the statement: 42 - 32 = 10. This is the answer for the first statement; △jkl = 10. We must then apply the same method to the second statement and subtract the two numbers: 52 - 32 = 20. This is the answer for the second statement; △abc = 20. Therefore, the answer to the question is that △jkl is 10 and △abc is 20. In order to determine this, we simply had to subtract the two numbers given in the statement and apply the same method to the second statement. This method allows us to easily solve problems such as these.
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6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
You also take two 15-minute unpaid coffee breaks during the day. Your work day ends
at 5:00 pm. How many hours are you paid?
a) Express your answer in hours and minutes.
b) Express your answer as a decimal in hours only.
Answer:
7 hours 15 minutes
7.25 hours
Step-by-step explanation:
Break from 11:45 am to 12:30 pm = 45 minutes
Two 15-minute unpaid coffee breaks during the day = 30 minutes
Total break hours = 45 minutes + 30 minutes
= 1 hour 15 minutes
Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes
How many hours are you paid?
Total hours paid = Total work day hours - Total unpaid break hours
= 8 hours 30 minutes - 1 hour 15 minutes
= 7 hours 15 minutes
b) Express your answer as a decimal in hours only
7 hours 15 minutes as a decimal
15 minutes to hour = 60 minutes/15 minutes
= 1/4
= 0.25 hours
7 hours 15 minutes as a decimal = 7 hours + 0.25 hours
= 7.25 hours
Use the formula to find the surface area of the figure. Show your work.
What are the potential solutions of log6x log6(x 5) = 2? -12 -9 4 32 36.
The potential solutions of logarithmic function using the logarithmic properties are found as -9 and 4.
What is product of log rule?
The product of the log rule says that the sum of number of logarithm functions is equal to the log function of product of all the numbers, given that base is same.
The given logarithmic function in the problem is,
\(\log_6x+\log(6x+5)=2\)
Using the product rule of logarithmic function, the above equation can be written as,
\(\log_6(x\times(x+5))=2\\\log_6(x^2+5x))=2\)
Using the equality rule of logarithmic function, the above equation can be written as,
\(x^2+5x=6^2\\x^2+5x=36\)
Take all the terms one side of the equation as,
\(x^2+5x-36=0\)
Find the factors of above equation using the split the middle term method as,
\(x^2+9x-4x-36=0\\x(x+9)-4(x+9)=0\\(x+9)(x-4)=0\)
By equating these factor to the zero one by one, we get the potential solution as -9 and 4.
Thus, the potential solutions of logarithmic function using the logarithmic properties are found as -9 and 4.
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Answer:
-9 and 4
Step-by-step explanation:
Did it on edge :)
Move 4 units north, 3 units east, and 2 units south. Your endpoint is (5, 6). At what ordered pair did you begin?
The starting point is (2, 4).
To determine the starting point, we can work backward from the endpoint using the given movements.
Let's analyze each movement step by step:
Move 4 units north: This means the y-coordinate increases by 4 units. Since the endpoint is at (5, 6), the y-coordinate of the starting point must have been 6 - 4 = 2.
Move 3 units east: This means the x-coordinate increases by 3 units.
The y-coordinate remains the same as the previous step.
So, the x-coordinate of the starting point must be 5 - 3 = 2, and the y-coordinate remains 2.
Move 2 units south: This means the y-coordinate decreases by 2 units. The x-coordinate remains the same as the previous step.
Therefore, the y-coordinate of the starting point is 2 + 2 = 4, and the x-coordinate is 2.
Hence, the ordered pair representing the starting point is (2, 4).
This means that the movement started at position (2, 4), moved 4 units north, 3 units east, and 2 units south, ultimately reaching the endpoint (5, 6).
By following the given movements in reverse order, we can determine the initial position.
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Why do some of the questions I type. Don't pop up any answers?
Answer:
how am i supposed to know
Step-by-step explanation:
f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? explain how you know
This is about interpretation of quadratic equation graphs.
- The parabola that is continuous represents f(x) = (x+3)(x-4)
- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)
- This is because calculating their y-intercept respectively corresponds with what is on the graph.
We are given;a) f(x) = (x+3)(x-4)
Let us confirm the x-intercept.
x-intercept here is when y = 0.
Thus, at y = 0; x + 3 = 0 and x - 4 = 0
Thus, at y = 0; x = -3 and y = 4
Let's now find the y-intercept;y-intercept occurs when x = 0
Thus; y - intercept = (0 + 3)(0 - 4)
y - intercept = -12
Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)Read more at; brainly.in/question/18896888
what is the value of the expression -40 -(-50-2) +10
suppose p is a convex polyhedron such that all of the faces of p are either squares, hexagons, or (10-sided) decagons, and each vertex is contained in exactly one face of each type. how many faces does p have?
We're trying to find the total number of faces F = S + H + D. To do this, we can substitute the expressions for V and E into Euler's formula: (S + H + D) - (4S + 6H + 10D)/2 = 2. Multiplying both sides by 6 to eliminate the fractions: 6(S + H + D) - 3(4S + 6H + 10D) = 12. Simplifying the equation: 6S + 6H + 6D - 12S - 18H - 30D = 12. Combining like terms: -6S - 12H - 24D = 12. Divide both sides by -6: S + 2H + 4D = -2
Let's first consider the number of edges that each face of p has. Since p is convex, each face must be a convex polygon. We know that each vertex is contained in exactly one face of each type, which means that each vertex must be the meeting point of at least three faces. Therefore, each face must have at least three edges.
Since each face is either a square, hexagon, or decagon, we know that the sum of the angles of each face is:
- For a square: 360 degrees
- For a hexagon: 720 degrees
- For a decagon: 1440 degrees
Using the formula for the sum of angles in a convex polygon (180(n-2)), we can find the number of sides for each face:
- For a square: 4 sides
- For a hexagon: 6 sides
- For a decagon: 10 sides
Let's assume that p has f faces. Then, the total number of edges in p is:
E = (4 * number of squares) + (6 * number of hexagons) + (10 * number of decagons)
E = 4s + 6h + 10d
On the other hand, we know that the sum of the degrees around each vertex in p is 360 degrees. Each vertex is contained in exactly one face of each type, so the number of vertices in p is equal to the sum of the number of faces of each type. Therefore:
V = s + h + d
Using Euler's formula for polyhedra (V - E + F = 2), we can solve for the number of faces:
F = 2 - V + E/2
F = 2 - (s + h + d) + (2s + 3h + 5d)/2
F = (3s + 5h + 9d - 4)/2
We know that f must be an integer, so 3s + 5h + 9d must be even. This means that either all of s, h, and d are even, or exactly one of them is odd and the other two are even.
Since p is a convex polyhedron, it must satisfy the condition that the sum of the angles around each vertex is less than 360 degrees (otherwise it would be non-convex). We can check that the only possible combination of numbers of squares, hexagons, and decagons that satisfies this condition and the evenness condition is:
- 12 squares, 20 hexagons, and 30 decagons
Therefore, p has a total of:
f = 12 + 20 + 30
f = 62 faces.
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How do you multiply mixed fractions?
Thanks :)
Please help me solve this problem
Answer:
Y=6+5/12
Step-by-step explanation:
Move all terms containing "Y" to the right
Get rid of parenthesis and multiply all terms by the denominator
Add all numbers together and all the variables, then multiply
-12Y= -77
Y= -77/-12
Y= 6+5/12
Write an
inequality that represents the
temperatures (in degrees Fahrenheit)
of the interior of the iceberg.
-20°C to
-15°C
The inequality representation can be expressed as: -4 < x < 5
Representation of real number into inequality.An inequality is a mathematical connection that exists between two expressions and may be expressed by one of the following:
"greater than >" "less than < ""less than or not equal to ≤: "greater than or equal to" ≥:From the given expression, the conversion of °C to F is estimated by using the formula:
(°C × 9/5) + 32
For -20°C , we have:
= (-20°C × 9/5) + 32
= -4 F
For -15°C, we have:
= (-15°C × 9/5) + 32
= 5 F
Therefore, this can be represented in inequality form as: -4 < x < 5.
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A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands. t (in seconds) h (in feet) 0 4000 5 3500 10 3000 15 2500 20 2000 25 1500. Determine where the graph crosses the h-axis. Then write the equation in slope-intercept form. a. (4000, 0); h = negative 100 t + 4000 b. (0, 4000); h = negative 100 t + 4000 c. (0, 4000); h = negative 4000 t + 100 d. (100, 0); h = 4000 t minus 100
Answer:
Step-by-step explanation:
This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line. If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept. If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.
Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:
h = -100t + 4000 which appears to be choice a.
Answer:
a
Step-by-step explanation:
i took the quiz and got it right :)
Statistics is a science that deals with data collection,
organization, summarization, analyzation and inferences, but it
does not deal with probability theories.
A.
False B.
True
"Statistics is a science that deals with data collection, organization, summarization, analyzation and inferences, but it does not deal with probability theories" is false. The correct answer is option A. False. Statistics, as a subject, does deal with probability theories.
Hence, the given statement is incorrect and needs to be corrected by changing the option to false. Probability is an important part of statistics. Probability helps us understand how likely something is to happen. Statistics is a field of study that deals with data collection, organization, analysis, interpretation, and presentation. It is used to make predictions and decisions based on data. Probability is a branch of mathematics that deals with the likelihood of events. It is used in statistics to help make predictions and decisions based on data.
Statistics and probability are related and often used together. Both are used to make predictions and decisions based on data. Therefore, the statement that "statistics does not deal with probability theories" is false. Statistics is a science that deals with data collection, organization, summarization, analyzation, and inferences, but it also deals with probability theories. Probability is an essential part of statistics, which deals with the likelihood of events. Probability is used in statistics to help make predictions and decisions based on data. Statistics is a field of study that focuses on data collection, organization, analysis, interpretation, and presentation. It is used to make predictions and decisions based on data. Probability is a branch of mathematics that deals with the likelihood of events. It is used in statistics to help make predictions and decisions based on data. Statistics and probability are related and often used together. Both are used to make predictions and decisions based on data. Therefore, the statement that "statistics does not deal with probability theories" is false.
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a box with a square base and no top is to be made from a square piece of cardboard by cutting 3 in. squares from each corner and folding up the sides. the box is to hold 4332 in3. how big a piece of cardboard is needed?
The piece of cardboard needed will be 44 by 44 inches.
The volume of a square box can be defined as the space occupied by the square box or the cube, It is equal to the cube of the length of the side of the square box.
The formula for the volume is V = s³
The volume will be L*W*H
We are cutting 3 inches from each corner, so the length and width will each be x-6.
The height will be 4.
4332 = 4* (x - 6)* (x - 6)
1444= (x - 6)²
38 = x-6
x=44 inches.
The piece of cardboard needed will be 44 by 44 inches.
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Answer:
a. option is the correct answer