Answer:
$252.5
Step-by-step explanation:
45(4.5)+50
202.5+50
=252.5
1.5 times the amount a bucket holds makes 6 gallons. How many gallons does the bucket
hold? z represents the volume in gallons that the bucket holds.
6 X 1.5 = x
6= 1.5/x
1.5x = 6
1.5 + x = 6
Answer:
1.5x = 6
Step-by-step explanation:
This represents 1.5 times the amounts a bucket holds. (I'm assuming you mean x when you typed z)
Clark Property Management is responsible for the maintenance, rental, and day-to-day operation of a large apartment complex on the east side of New Orleans. George Clark is especially concerned about the cost projections for replacing air conditioner compressors. He would like to simulate the number of compressor failures each year over the next 20 years. Using data from a similar apartment building he manages in a New Orleans suburb, Clark establishes a table of relative frequency of failures during a year as shown in the following table:
NUMBER OF A.C. COMPRESSOR FAILURES PROBABILITY (RELATIVE FREQUENCY)
0 0.06
1 0.13
2 0.25
3 0.28
4 0.20
5 0.07
6 0.01
He decides to simulate the 20-year period by selecting two-digit random numbers from the random number table.
Conduct the simulation for Clark. Is it common to have three or more consecutive years of operation with two or fewer compressor failures per year?
The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.
Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.
Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :
Number of Compressor Failures Probability (Relative Frequency)
0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.
We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.
As a result, there will be a total of 20 values of X, each representing a year's worth of data.
We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.
The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.
Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.
It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.
Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.
These results are then used to generate probability distributions of potential results.
In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.
1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.
2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.
3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable
4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.
5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.
6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.
After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.
The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.
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How do you write four less than seven?
A.7 + 4
B.7 - 4
C.7 x 4
D.7/4
Answer:
B.
Step-by-step explanation:
D mean 7 divided by 4
A is 7 plus 4
C is 7 multiplied by 4
B is 7 minus 4 (4 less than seven expression)
Answer:
B
Step-by-step explanation:
Four less than 7 means that the answer should be 4 smaller than 7.
So it could be though of 7-4=3
The first part 7-4, looks like asnwer B.
Hope this helps!
is 50.11111111... a rational number answer fast ill give brainliest
Answer:
the answer is irrational
What is the step after calculate your test statistic chi-squared, when statistically testing a hypothesis. group of answer choices draw conclusions calculate degrees of freedom (df) and critical value state your null hypothesis collect data
The degrees of freedom is determined by the number of categories in your data minus 1.
The step after calculating your test statistic chi-squared is to calculate the degrees of freedom (df) and the critical value. The degrees of freedom is determined by the number of categories in your data minus 1. The critical value is found using a chi-squared distribution table and is based on your chosen significance level and degrees of freedom. Once these values are calculated, you can compare your test statistic to the critical value to determine if your results are statistically significant. This step is necessary to ensure that your hypothesis testing is valid and reliable.
This will help you determine whether to reject or accept the null hypothesis based on your data.
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Select the graph that would represent the best presentation of the solution set for |x| < 5.
Based on the principle of Inequality, Attached image is a graph of the inequality for |x| < 5. The red region is the solution set.
What is the graph equation?A mathematical statement known as an equation demonstrates the relationship between two or more numbers and variables by utilizing mathematical operations such as addition, subtraction, multiplication, division, exponents, and so forth.
Therefore, An expression that demonstrates a non-equal comparison of numbers and variables is called an inequality. So, the graph that best represents this solution set is a number line with open circles at x = -5 and x = 5 and a shaded region in between, indicating that all values of x within this range satisfy the inequality.
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what is 3231.07607315 rounded two decimal places
Answer:
3231.08
Step-by-step explanation:
6 rounds up
Answer:
3231.08
Step-by-step explanation:
6.
The difference between two even numbers is positive.
Answer:
Consecutive par .. 2,4,6,8 .....
positive difference between 6 and 8
8-6 = 2; this difference will always be 2 regardless of the number if it is consecutive even.
Step-by-step explanation:
If m ABD = 61, and m DBC = 59, then m ABC = ? PLS ASAP
Given that angle ABD and angle DBC are adjacent angle, the value of angle ABC is 120 degrees.
What is the value of angle ABC?Given the data in the question;
Angle ABD = 61°Angle DBC = 59°Angle ABC = ?Since angle ABD and angle DBC are adjacent angle, there addition will give us the value of angle ABC.
∠ABD + ∠DBC = ∠ABC
We substitute in the given values
61° + 59° = ∠ABC
∠ABC = 120°
Given that angle ABD and angle DBC are adjacent angle, the value of angle ABC is 120 degrees.
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(04.05, 05.04, 07.04 HC) dy = 5(2x + 3)sin (x2 + 3x +"). x dx Consider the differential equation Part A: Find the equation of the line tangent to the solution curve at the point (0,5). (5 points) Part B: Find the second derivative at (0,5) and use it to determine the concavity of the solution curve at that point. Explain. (10 points) Part C: Find the particular solution y = f(x) with initial condition f(0) = 5. (15 points)
Part a: The equation of the tangent line is: y - 5 = -15(x - 0)
Part b:The second derivative is a constant value, -15. Since the second derivative is negative, it means the function is concave down at (0, 5).
Part c:The particular solution is y = -10cos(x² + 3x + π) + 15(x² + 3x + π) - 5 - 15π
Part A: To find the equation of the line tangent to the solution curve at the point (0, 5), to follow these steps:
Step 1: Find the derivative of the given differential equation.
Given differential equation: dy/dx = 5(2x + 3)sin(x² + 3x + π)
Differentiate both sides with respect to x:
dy/dx = d/dx (5(2x + 3)sin(x²+ 3x + π))
dy/dx = 5 × (2(sin(x² + 3x + π)) + (2x + 3)cos(x² + 3x + π))
Step 2: Evaluate the derivative at the point (0, 5).
To find the slope of the tangent line at (0, 5), substitute x = 0 into the derivative:
dy/dx = 5 × (2(sin(π)) + (2×0 + 3)cos(π))
dy/dx = 5 × (2(0) + 3(-1)) = -15
Step 3: Use the point-slope form of the equation to write the equation of the tangent line.
The point-slope form of the equation is: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point (0, 5).
Simplifying, we get: y = -15x + 5
Part B: To find the second derivative at (0, 5) and determine the concavity of the solution curve at that point, follow these steps:
Step 1: Find the second derivative of the given differential equation.
Given differential equation: dy/dx = 5(2x + 3)sin(x² + 3x + π)
Differentiate the previous result for dy/dx with respect to x to get the second derivative:
d²y/dx² = d/dx (-15x + 5)
d²y/dx² = -15
Step 2: Determine the concavity.
Part C: To find the particular solution y = f(x) with the initial condition f(0) = 5, to integrate the given differential equation:
dy/dx = 5(2x + 3)sin(x² + 3x + π)
Step 1: Integrate the equation with respect to x:
∫dy = ∫5(2x + 3)sin(x² + 3x + π) dx
y = ∫(10x + 15)sin(x² + 3x + π) dx
Step 2: Use u-substitution:
Let u = x² + 3x + π, then du = (2x + 3) dx
Now the integral becomes:
y = ∫(10x + 15)sin(u) du
Step 3: Integrate with respect to u:
y = -10cos(u) + 15u + C
Step 4: Substitute back for u:
y = -10cos(x² + 3x + π) + 15(x² + 3x + π) + C
Step 5: Apply the initial condition f(0) = 5:
Substitute x = 0 and y = 5 into the equation:
5 = -10cos(π) + 15(0² + 3(0) + π) + C
5 = 10 + 15π + C
Simplifying,
C = 5 - 10 - 15π
C = -5 - 15π
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17.28 divided by (1.32 - 0.24) x 0.6
Answer:
9.6
Step-by-step explanation:
Do parentheses first:
(1.32-0.24)= 1.08
Equation now becomes 17.28 divided by 1.08 times 0.6
Evaluate in order of expression
17.28/1.08=16
16 times 0.6=9.6
What is the mean of the data set?
Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20
Answer:
42
Step-by-step explanation:
Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416
then divide by total number of digits
(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)
41.6 rounded to 42
The number of students in a geometry class is four
fifths the number of students in a Spanish class.
The total number of students in both classes does
not exceed 54. What is the greatest possible
number of students in the Spanish class?
Answer:
Step-by-step explanation:
Givens
Let the number in the Spanish Class = x
Then the number in the Geometry Class = (4/5) x
Equation
x + (4/5)x < 54
Solution
x + (4/5)x < 54
4/5 = 0.8
x + 0.8x < 54
1.8x < 54 Divide both sides by 1.8
1.8x / 1.8 < 54/1.8
x < 30
The sign used in the equation is less than, not less than or equal to.
The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.
Aaliyah bought 23 chicken wings for $39.10. If Aaliyah spent $32.30, how many chicken wings did she buy?
Answer:
She bought 19 chicken wings
Step-by-step explanation:
first, find how much 1 chicken wings cost
$39.1 / 23= $1.70 (1 chicken wings cost = $1.70)
32.30/ 1.70 = 19
She bought 19 chicken wings
Hope it helps
If my answer helps you, please give me a brainliest! thanks.
If Aaliyah spent $32.30, she brought 19 chicken wings.
What is division in mathematics?One of the four fundamental operations in mathematics is division, along with addition, subtraction, and multiplication. The splitting of a large group into smaller groups so that each group contains an equal number of items is a straightforward definition of division. It is a mathematical process used for equitable grouping and distribution.
Aaliyah bought 23 chicken wings for $39.10.
Hence, as the price of each chicken wings is same, the price of each chicken wings will be= $39.10÷23 = $ 1.70
She spent $32.30 in buying chicken wings.
So, The number of chicken wings, she got = $32.30/$1.70 = 19.
Hence, if Aaliyah spent $32.30, she brought 19 chicken wings.
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What is the domain of the function y - 2e graphed below?
5
2
5 4 -3 -2 -11
1
2
3
4
Ui
X
-2
all real numbers greater than 2
O all positive real numbers
O all negative real numbers
all real numbers
The domain of the function is all real numbers.
Option 4 is correct
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The y values are those. A function can be compared to a piece of equipment on an assembly line. A few screws and nuts are located on one end of the assembly line, while a car is located on the other.
As per the given data:
The function is \(y = 2e^x\)
This function is defined for all the values of x as y never becomes undefined.
Hence, the domain of the given function is (-∞, ∞)
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37 pupils are asked if they walk or the get the bus to school. 7 of the boys walk to school.
There are 24 girls in total.
15 pupils get the bus.
How many girls walk to school?
Answer:
Total boys is 13
Total walks to school is 22
Girsl walk to school is 15
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Solve the following
2(x+3)=x-4
Answer:
x = - 10
Step-by-step explanation:
2(x + 3) = x - 4 ← distribute parenthesis on left side
2x + 6 = x - 4 ( subtract x from both sides )
x + 6 = - 4 ( subtract 6 from both sides )
x = - 10
Answer:
-10
Step-by-step explanation:
2(x+3)=x-4
2x+6=x-4
2x-x=(-4)-6
x=-10
Hence the answer is -10
Which ordered pairs make the open sentence true?
3x+y<14
Select all the correct answers.
(3, 6)
left parenthesis 3 comma 6 right parenthesis
(7, −7)
left parenthesis 7 comma negative 7 right parenthesis
(6, 0)
left parenthesis 6 comma 0 right parenthesis
(−1, 6)
left parenthesis negative 1 comma 6 right parenthesis
(4, −1)
The ordered pairs which make the open sentence true are:
(-1, 6).(4, -1).What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an algebraic expression based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).For this exercise, you should evaluate each of the given expressions to determine which inequalities is true when the ordered pairs are substituted. This ultimately implies that, you would have to substitute the ordered pairs into each of the given algebraic expressions and then evaluate.
When ordered pairs = (3, 6), we have:
3x + y < 14
3(3) + 6 < 14
9 + 6 < 14
15 < 14 (False).
When ordered pairs = (7, -7), we have:
3x + y < 14
3(7) + (-7) < 14
21 - 7 < 14
14 < 14 (False).
When ordered pairs = (6, 0), we have:
3x + y < 14
3(6) + 0 < 14
18 - 0 < 14
18 < 14 (False).
When ordered pairs = (-1, 6), we have:
3x + y < 14
3(-1) + 6 < 14
-3 + 6 < 14
3 < 14 (True).
When ordered pairs = (4, -1), we have:
3x + y < 14
3(4) + (-1) < 14
12 - 1 < 14
11 < 14 (True).
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Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))
Answer:
Step-by-step explanation:
To solve the system of equations algebraically, we need to substitute the second equation into the first equation and solve for x:
y = 4x – 5 (equation 1)
y = -3 (equation 2)
Substitute equation 2 into equation 1:
-3 = 4x – 5
Add 5 to both sides:
2 = 4x
Divide both sides by 4:
x = 1/2
Now, we can substitute this value of x back into either equation to find y:
y = 4(1/2) – 5 = -3
Therefore, the solution to the system of equations is (1/2, -3).
To verify this solution using the graph, we can plot the two equations on the same set of axes:
y = 4x – 5 (red line)
y = -3 (blue line)
The two lines intersect at the point (1/2, -3), confirming our solution.
Therefore, the answer is (B) (1/2, -3).
Solve for x and z:
a+bz/a+b=c+dz/d+c
if bc=ad
When we solve for x and z if bc =ad, We can start by cross-multiplying to get rid of the denominators: d(a+bz) = b(c+d)z + ac, then the linear equation has infinitely many solutions for any values of x and z.
Multiplying both sides by (a + b)(d + c) to remove the denominators, we get:
(a + bz)(d + c) = (c + dz)(a + b)
If z = 0, then we can substitute back into the original equation and solve for x:
a/b = (c - 1)/(1 - c).
thus, the solutions are:
If bc =ad, then the equation has infinitely many solutions for any values of x and z.
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write the equation of the line that is parallel to the given line and the given point. y=1/2x + 2, (0,4)
Answer:
y = 1/2x + 4
Step-by-step explanation:
parallel lines have the same gradient. therefore using our given equation we can get its gradient as 1/2. Line 2 will have same gradient too
using the given point (0,4) and one unknown point (X,y) we can write the equation of line 2 in slope -intercept form
G = rise/run
1/2 = y-4/x-0
2y - 8 = X
2y = X +8
y = 1/2x + 4
Which of the following graphs is the same as y=log1/2^x
Give two examples as to how pi is used in every day life
Answer:
In basic mathematics, Pi is used to find area and circumference of a circle. You might not use it yourself every day, but Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few
Step-by-step explanation:
Sam earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 12 hours?
Sam will earn $99 for 12 hours of babysitting.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Sam earns $33 for babysitting for 4 hours.
4 hours = $33
4 ×3 hours = $33×3
12 hours = $99
Hence, Sam will earn $99 for 12 hours of babysitting.
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select the list that correctly includes all of the coefficients from the problem
-2+6y+m-2y+8-4m
Answer:
( B.) 6, 1, -2 , -4
Step-by-step explanation:
A coefficient is a number multiplied by a variable. So, in this case let's take a look at the problem.
-2+6y+m-2y+8-4m
Now we have to find the numbers that have a variable next to it
which are 6,m,-2, and -4
(If you are wondering that why m is a coefficient its because it is also known as 1m)
Final answer = 6, 1, -2 , -4
Hope this helps!
An element with mass 590 grams decays by 19. 5% per minute. How much of the element is remaining after 15 minutes, to the nearest 10th of a gram?
Answer:
Step 1
Formulate a recursive sequence modeling the number of grams after n minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829
a(n) = 780*[0.829^n]
for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g
the answer is 22.1 g
Step-by-step explanation:
Numbers of the jerseys of 5 randamty selected Carolina Panthers Quantitative discrete Quantitative continuous. Gualitative
The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.
Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.
Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.
Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".
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Summarize the three conditions that must be checked before carrying out significance tests.
We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.
What is random, normal and independent conditions?There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.
Any survey is carried out objectively.
It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.
Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.
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what is the cube of 2?
Answer:
8
Step-by-step explanation:
Number x Square x2 Cube x3
2 4 8
simplify an expression
(x^2y^4z)^5/(xy)^2
A) y10z5
B) x6y7z5
C) x7y9z5
D) x8y18z5
Answer:
d
Step-by-step explanation: