The city of Tulsa states that the rate it charges per ccf of residential water is 2.33.
To compare the rates, we can create a histogram of the data.
A histogram is a graphical representation of data that divides a range of values into a series of intervals or bins and shows the number of values that fall into each bin.
The x-axis represents the intervals or bins, and the y-axis represents the number of values in each bin. We can use the histogram to compare the distribution of the residential water rates of other U.S. public utilities with Tulsa's rate.
To do this, we can overlay a vertical line at the point where Tulsa's rate is located on the histogram.
If the line is located towards the left side of the histogram, it indicates that Tulsa's rate is lower than the rates of most other U.S. public utilities. If the line is located towards the right side of the histogram, it indicates that Tulsa's rate is higher than the rates of most other U.S. public utilities.Therefore, the data in the file 'residentialwater' can be plotted as a histogram using any statistical software like Excel, R, or Python. The histogram will help us to identify where Tulsa's rate stands in comparison to other U.S. public utilities.
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A student starts working for $12 per hour. After a year. he gets a raise and now earns $13.50 per hour. Which of the following represents the percent increase in the student’s wage?
a. 1.5%
b. 150%
c. 12.5%
d. 10%
Answer: c. 12.5%
Step-by-step explanation:
To find the percent increase in the student's wage, we need to calculate the difference between his old wage of $12 per hour and his new wage of $13.50 per hour, and then divide that difference by his old wage and multiply by 100%. This gives us the following calculation:
(13.50 - 12) / 12 * 100% = 1.50 / 12 * 100% = 0.125 * 100% = 12.5%
Therefore, the student's wage increased by 12.5%, which is the same as saying it increased by 0.125 or 1.25/10. This corresponds to answer choice c.
WILL GIVE BRAINIEST IF RIGHT :) Andrew solved the following inequality, and his work is shown below:
−4(x + 8) ≤ −2x + 50
−4x − 32 ≤ −2x + 50
−2x − 32 ≤ 50
−2x ≤ 82
x ≤ −41
What mistake did Andrew make in solving the inequality?
A He did not make a mistake.
B When dividing by −2, he did not change the direction of the sign.
C He added 2x to both sides when he should have subtracted.
D He added 32 to both sides when he should have subtracted.
Answer:
When dividing by −2, he did not change the direction of the sign.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
whenever u divide by a negative number in inequality the sign always changes
could u help me please?
Answer: the answer is b but make sure
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is false. If -7,3 was an answer the equation would look like this
y+3=-2(x+7)
Have a nice day,
PumpkinSpice1
What is the answer for the explanation
Answer: You cannot figure out the value without any measurements or tools for that matter.
Step-by-step explanation:
Im blue ba da de ba da da
set up, but do not evaluate, an integral with respect to both x and y that would give the length of the curve segment y=4x^2 from x=0 to x=1. the integral with respect to x is:
s = ∫x ____ dx
x = ____
the integral with respect to y is:
s = ∫y ____ dy
y = ____
To set up, but not evaluate, the integral with respect to both x and y that would give the length of the curve segment y=4x2 from x=0 to x=1, you will need to write two integrals: one with respect to x and one with respect to y.
For the integral with respect to x, you will need to use the formula:
s = ∫x2 dx
x = 4x2
For the integral with respect to y, you will need to use the formula:
s = ∫y dy
y = 4x2
This will give you the length of the curve segment y=4x2 from x=0 to x=1, without evaluating it.
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Let U and X be random variables with U = ax + b, where a and b are constants. Use the moment generating function method to show that U ~ N(a mu + b, (a sogma)^2), if X ~'N(mu, sigma^2)
The transformed random variable U, obtained by scaling and shifting X, maintains a normal distribution with adjusted mean and variance.
To show that U follows a normal distribution with mean aμ + b and variance (aσ)^2, using the moment generating function (MGF) method, we'll start by finding the moment generating function of U and then compare it to the MGF of a normal distribution.
Let's begin:
1. Find the moment generating function (MGF) of X:
The MGF of X is given by M_X(t) = E[e^(tX)].
2. Apply the transformation U = aX + b to find the MGF of U:
M_U(t) = E[e^(tU)]
= E[e^(t(aX + b))]
= E[e^(taX) * e^(tb)]
= E[e^(taX)] * e^(tb)
= M_X(ta) * e^(tb)
3. Substitute the MGF of X, assuming X ~ N(μ, σ^2):
M_U(t) = M_X(ta) * e^(tb)
= e^(μta + (σ^2(ta)^2)/2) * e^(tb)
= e^(μta + σ^2(ta)^2/2 + tb)
4. Simplify the exponent:
M_U(t) = e^((μa + tb) + σ^2(ta)^2/2)
Comparing the exponent with the MGF of a normal distribution, which is e^(μt + σ^2t^2/2), we can see that:
- The first term (μa + tb) matches the mean of the normal distribution, which is aμ + b.
- The second term (σ^2(ta)^2/2) matches the variance of the normal distribution, which is (aσ)^2.
Therefore, based on the MGF, we can conclude that U follows a normal distribution with mean aμ + b and variance (aσ)^2:
U ~ N(aμ + b, (aσ)^2)
This result shows that the transformed random variable U, obtained by scaling and shifting X, maintains a normal distribution with adjusted mean and variance.
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HELP PLS
you just have to solve the inequality but I’m not smart and don’t know how
Hazel plans to mow her neighbors' yards to earn money. she charges a base fee of $25 and $7 for every hour she mows. the amount she earns per yard can be represented by the linear function m(t) = 7t 25. what is the value of m(2), and what is its interpretation? m(2) = 39; if hazel mows 2 yards, she will earn $39. m(2) = 14; if hazel mows 2 yards, she will earn $14. m(2) = 39; if hazel mows a yard for 2 hours, she will earn $39. m(2) = 14; if hazel mows a yard for 2 hours, she will earn $14.
The function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.
What is a linear function?The term linear function refers to a function that yields a straight line graph when it is plotted. Now we know that a linear function would not contain an exponent that is greater than one.
In this case, we know that the question states that she charges a base fee of $25 and $7 for every hour she mows thus the function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.
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Answer:
m(2) = 39; if hazel mows a yard for 2 hours
Step-by-step explanation:
sorry if this is incorrect but i thought it was more help then the previous answer
:)
hope this helps anyone and have a great day!!
a homeowner purchases square feet from and adjacent lot. construct a 95% confidence interval for the change in the value of her house. the 95% confidence interval for the change in the value of the home is [ enter your response here, enter your response here]
The correct answer is B. No, because small differences in square footage between two houses likely have a significant effect on differences in house prices.
Measuring lot size in thousands of square feet may not be more appropriate because even small variations in the square footage of a lot can have a substantial impact on the value of a house.
The value of a property is often influenced by factors such as land scarcity, location, zoning regulations, and market demand, among others. Square footage is a crucial factor that potential buyers consider when assessing the value of a property.
Even a difference of a few square feet can affect the perceived value of a house and ultimately influence its price. Thus, maintaining precise measurements of lot size in square feet is important for accurately assessing and comparing property values.
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The complete question is:
A homeowner purchases 2296 square feet from and adjacent lot. Construct a 95% confidence interval for the change in the value of her house. The 95% confidence interval for the change in the value of the home is [ 2.30, 6.89] (Round your response to two decimal places) Lot size is measured in square feet. Do you think that measuring lot size in thousands of square feet might be more appropriate?
A. Yes, because small differences in square footage between two houses is not likely to have a significant effect on differences in house prices.
B. No, because small differences in square footage between two houses likely have a significant effect on differences in house prices.
C. Yes, because changing the units in which lot size is measured will likely make the estimated coefficient more significant.
D. No, because changing the units in which lot size is measured will likely render the estimated coefficient insignificant.
These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=
The area of the larger figure that is similar to the smaller one is: 28.2 m².
How to Find the Area of Similar Figures?Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:
Area of figure A / Area of figure B = a²/b².
Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:
Perimeter of smaller figure = 20 m
Area of smaller figure = 19.6 m²
Perimeter of larger figure = 34m
Area of larger figure = x
Therefore:
20/34 = a/b
Simplify:
10/17 = a/b.
Find the area (x) of the larger figure using the formula given above:
10²/12² = 19.6/x
100/144 = 19.6/x
100x = 2,822.4
x = 2,822.4/100
x ≈ 28.2 m²
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Find the distance to the nearest hundredth between the points A (1,-4) and B
(9,5).
At the market you can buy 6 bags of apples for $25. At the orchard you can get 8 bags of apples for $35. Which is the better deal?
Answer:
6 bags for $25
Step-by-step explanation:
25/6 = 4.16666666667 = $4.17 per bag
35/8 = 4.375 = $4.37 per bag
The better deal for the bags of apples is at the market
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To determine which is the better deal, we can compare the prices per bag of apples at the market and the orchard.
At the market:
Price of 6 bags of apples = $25
Price per bag of apples = $25 / 6 ≈ $4.17 (rounded to two decimal places)
At the orchard:
Price of 8 bags of apples = $35
Price per bag of apples = $35 / 8 ≈ $4.38 (rounded to two decimal places)
Comparing the two prices per bag of apples, we can see that the price per bag at the market is $4.17, while the price per bag at the orchard is $4.38.
Hence , the better deal is at the market where you can buy 6 bags of apples for $25, resulting in a lower price per bag compared to the orchard.
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How do you write 0.277777777777...... as a fraction?
Answer:
27777/100000
Step-by-step explanation:
i hope its right
help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
Find y as a function of x if y‴−13y″+40y′=56e^x, y(0)=20, y′(0)=19, y″(0)=10.
The function y in the differential equation y‴−13y″+40y′=56eˣ, y(0)=20, y′(0)=19, y″(0)=10 as a function of x is: y(x) = -18 + e⁵ˣ + (9/32)e⁸ˣ + 2eˣ.
To solve this problem, we need to find the general solution to the differential equation y‴−13y″+40y′=56eˣ and then use the initial conditions to find the particular solution.
First, we find the characteristic equation:
r³ - 13r² + 40r = 0
Factorizing it, we get:
r(r² - 13r + 40) = 0
Solving for the roots, we get:
r = 0, 5, 8
So the general solution is:
y_h(x) = c1 + c2e⁵ˣ + c3e⁸ˣ
To find the particular solution, we can use the method of undetermined coefficients. Since the right-hand side of the differential equation is of the form keˣ, where k = 56, we assume a particular solution of the form:
y_p(x) = Aeˣ
Taking the first three derivatives:
y′_p(x) = Aeˣ
y″_p(x) = Aeˣ
y‴_p(x) = Aeˣ
Substituting these into the differential equation, we get:
Aeˣ - 13Aeˣ + 40Aeˣ = 56eˣ
Simplifying, we get:
28Aeˣ = 56eˣ
So A = 2. Substituting this value back into y_p(x), we get:
y_p(x) = 2eˣ
Therefore, the general solution is:
y(x) = y_h(x) + y_p(x)
= c1 + c2e⁵ˣ + c3e⁸ˣ + 2eˣ
Finding the values of the constants c1, c2, and c3:
y(0) = c1 + c2 + c3 + 2 = 20
y′(0) = 5c2 + 8c3 + 2 = 19
y″(0) = 25c2 + 64c3 = 10
Solving these equations simultaneously, we get:
c1 = -18
c2 = 1
c3 = 9/32
Therefore, the particular solution is:
y(x) = -18 + e⁵ˣ + (9/32)e⁸ˣ + 2eˣ
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simplify 15x-3(2x+4)
Answer:
9x−12
Step-by-step explanation:
Answer:
\( = 9x - 12\)
Step-by-step explanation:
\(15x - 3(2x + 4) \\ 15x - 6x - 12 \\ = 9x - 12\)
A figure undergoes a translation, reflection, and dilation. Will the image be similar to the original figure? Why or why not?
O A No; a dilation is not a rigid transformation, so the image is not similar to the preimage.
OB. Yes; any number of rigid transformations and dilations will always produce an image similar to the preimage.
OC. No, when more than one transformation is applied, the image is not similar to the preimage.
OD. Yes; since only 3 transformations were applied, the image will be similar to the preimage.
The image will be similar to the original figure. The correct answer is OB) Yes; any number of rigid transformations and dilations will always produce an image similar to the preimage.
A translation, reflection, and dilation are all examples of rigid transformations, which means that they preserve the shape and size of the figure.
A dilation is also a similarity transformation, which means that it scales the figure uniformly in all directions from a fixed center. The result of applying these three transformations to a figure will be a figure that is similar to the original, but possibly rotated or reflected.
Therefore, the correct option is OB).
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Please Help!!!! ASAP!! I will mark Brainliest!!! Please awnser CORRECTLY!! No guessing.
Answer:
C
Step-by-step explanation:
f(5) means we must plug in 5 wherever we see an x in the function.
\(f(x) = \frac{1}{9} 3^{x}\)
\(f(5) = \frac{1}{9} 3^{5}\)
\(f(5) = \frac{1}{9} * 243\)
\(f(5) = \frac{243}{9} = 27\)
So f(5) = 27! The answer is C.
Can I plz have some help with this...?
Answer:
x=19
Step-by-step explanation:
The sum of the three anagles is 180
(5x+4)+(x-2)+(3x+7)=180
5x+x+3x+4-2+7=180
9x+9=180
9(x+1)=180
x+1=20
x=20-1
x=19
question 4. [3 pts] let x and y be two independent random variables poisson distributed random variables with parameters λ and μ, respectively. show that x y ∼poisson(μ λ).
The product of two independent Poisson-distributed random variables with parameters λ and μ is itself Poisson-distributed with parameter λμ.
To show that the product of two independent Poisson-distributed random variables with parameters λ and μ is Poisson-distributed with parameter λμ, we need to find the probability mass function (PMF) of the product XY. Let Z = XY, then the PMF of Z is:
P(Z = k) = P(XY = k) = \($\sum_{i=0}^k P(X=i)P(Y=k/i)$\)
where, P(X=i) and P(Y=k/i) are the PMFs of X and Y, respectively.
Since X and Y are independent Poisson-distributed random variables, their PMFs are:
\($P(X=i) = \frac{e^{-\lambda} \lambda^i}{i!}$\)
\($P(Y=j) = \frac{e^{-\mu} \mu^j}{j!}$\)
Substituting these expressions into the PMF of Z, we have:
\(P(Z = k) = \sum_{i=0}^k \frac{e^{-\lambda}\lambda^i}{i!} \frac{e^{-\mu}\mu^{k/i}}{(k/i)!}\)
Simplifying this expression gives:
\($P(Z=k) = \frac{e^{-\lambda\mu}(\lambda\mu)^k}{k!}$\)
which is the PMF of a Poisson-distributed random variable with parameter λμ. Therefore, the product of two independent Poisson-distributed random variables with parameters λ and μ is itself Poisson-distributed with parameter λμ.
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Simplify the expression
how many terms of the given series must be added to obtain an approximation that is within 0.00001 of the actual sum?
We need to add at least 17 terms to obtain an approximation that is within 0.00001 of the actual sum.To determine how many terms of a given series must be added to obtain an approximation that is within a certain range of the actual sum, we need to use the concept of convergence. If a series is convergent, then we can find an approximation of its sum by adding a finite number of terms.
A series is said to be convergent if its terms approach a finite value as the number of terms approaches infinity.
The error between the actual sum and the approximation is given by the difference between the sum of the first n terms and the sum of the first n+1 terms. Therefore, if we want the approximation to be within a certain range, we need to find the smallest value of n such that the error is less than or equal to that range.
Let's consider an example: Suppose we have the series 1/2 + 1/4 + 1/8 + 1/16 + ... (infinite terms). We want to find the smallest value of n such that the error between the sum of the first n terms and the actual sum is less than or equal to 0.00001.
To find the sum of the first n terms of the series, we can use the formula for the sum of a geometric series:
Sum = a(1 - r^n)/(1 - r)
where a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = 1/2 and r = 1/2, so the formula becomes:
Sum = (1/2)(1 - (1/2)^n)/(1 - 1/2)
Simplifying, we get:
Sum = 1 - (1/2)^n
To find the smallest value of n such that the error is less than or equal to 0.00001, we need to solve the inequality:
|(1/2)^n/(1 - 1/2) | < 0.00001
Simplifying, we get:
(1/2)^n < 0.00001
Taking the logarithm of both sides (base 2), we get:
n > log2(1/0.00001)
n > 16.6096
Therefore, we need to add at least 17 terms to obtain an approximation that is within 0.00001 of the actual sum.
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Find f ′(x). f(x)=e^12x
f′(x)=
To find the derivative of f(x) = e^(12x), we can use the chain rule. The chain rule states that if we have a function of the form f(g(x)), the derivative of f(g(x)) with respect to x is given by f'(g(x)) * g'(x).
In this case, f(x) = e^(12x), where g(x) = 12x. The derivative of g(x) with respect to x is g'(x) = 12.
Now, we can apply the chain rule to find the derivative of f(x):
f'(x) = e^(12x) * 12.
Therefore, f'(x) = 12e^(12x).
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You have a 24-foot wide board. The board is cut into 10 equal sections. How
wide is each section?
Answer: ______ feet
Answer:
the board is 2.4 ft
Step-by-step explanation:
because 24/10 is 2.4
Line A is perpendicular to Line B.
If the slope of Line A is
-1/7
what is the slope of Line B?
[?]
Answer:
7
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. For example, if line A has a slope of 2, then line B, perpendicular to line A, will have a slope of -0.5.
You own 8 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the rack ends up in alphabetical order
The likelihood that the CD rack will be organized alphabetically is 1 in 28.
The first step is to count all conceivable arrangements.
Use combinations if you want to organize 6 of the 8 CDs. Combinations can be calculated using the formula C(n, r) = n! / [r!(n - r)!!], where n denotes the total number of items and r denotes the number of items being selected. Here, n = 8 and r = 6, respectively.
C(8, 6) = 8! / [6!(8 - 6)!] = 8! / [6!2!] = 28
The six CDs can therefore be organized in 28 different ways.
Step 2: Count how many configurations lead to an alphabetical order.
When they are placed precisely in that sequence, there is only one configuration in which the CDs are organized alphabetically.
3. Determine the likelihood.
Probability equals the product of the number of successful outcomes and the total number of conceivable outcomes.
Probability equals 1/28
You want to put 6 of the 8 CDs you have in this issue in a CD rack. We discover that there are 28 different possible arrangements using combinations. Only one of these configurations causes the CDs to be arranged alphabetically. As a result, there is a 1/28 chance that the CD rack will be organized alphabetically.
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Choose all that apply. Some have more than 1 answer.
Answer:
(a)
angle bisector
(b)
altitude
(c)
perpendicular bisector
Step-by-step explanation:
What is the exact surface area of this cylinder?
Enter your answer in the box.
The required exact surface area of the cylinder is 2\(\pi\)r(r+h).
To calculate the surface area of the cylinder, the required measurement of the radius (r) of the base of the given cylinder and height (h) of the cylinder.
The formula to find the lateral surface area of a given cylinder is 2\(\pi\)rh and the formula to find the surface area of a given cylinder is 2\(\pi\)r(r+h).
Let the radius of the base of the cylinder be f and height of the cylinder be g then the lateral surface of cylinder is 2\(\pi\)fg, the surface area of a given cylinder is 2\(\pi\)f(f+g).
Hence, the required exact surface area of the cylinder is 2\(\pi\)r(r+h).
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What is the solution for 3(3-3x) = 2(x+3) - 30
Answer:
x=3
Step-by-step explanation:
Answer: 3=x
Step-by-step explanation:
The form of malnutrition in which children appear to be of normal weight but are shorter than they should be for their age is termed
Stunting is the term used to describe a form of malnutrition in which children have a low height-for-age ratio. It is characterized by children appearing to have normal weight but being shorter than they should be for their age.
Stunting is a result of chronic malnutrition, typically experienced during the first 1,000 days of a child's life, from conception to the age of two.
Stunting is a prevalent issue in many developing countries, where access to nutritious food, clean water, and proper healthcare may be limited. It is primarily caused by a lack of adequate nutrition, particularly a deficiency in essential nutrients such as protein, vitamins, and minerals. Additionally, factors like poor sanitation, recurrent infections, and inadequate maternal and child care contribute to stunting.
The consequences of stunting are significant and long-lasting. It affects not only physical growth but also cognitive development, immune function, and overall well-being. Stunted children are at a higher risk of developmental delays, reduced learning capacity, and increased susceptibility to diseases. The impact of stunting can extend into adulthood, leading to reduced productivity and economic potential.
Addressing stunting requires comprehensive interventions that focus on improving maternal and child nutrition, access to clean water and sanitation, and healthcare services. Promoting exclusive breastfeeding, providing nutrient-rich foods, and implementing public health programs are essential in combating stunting and ensuring optimal growth and development for children.
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