Answer:
x = -3y - 3
Step-by-step explanation:
x + 3y = -3
Subtract 3y from both sides;
x = -3y - 3
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.
The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .
The charge at which anything happens is referred to as the velocity at which it happens.
The required details for mean rate :
(a) H0: µ = 21.62
Ha: µ ≠ 21.62
(b) t = -1.231
p-value = 0.2253
(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.
(d) H0: µ = 21.62
Ha: µ ≠ 21.62
t = -1.231
check statistic ≥ 2.020
Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.
The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.
The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.
The crucial values for t at this level of significance are t=2.019.
Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.
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ANSWER ASAP
A quadrilateral has four right angles. What figure could it be?
parallelogram
square
rectangle
rhombus
Answer:
Square or rectangle
Step-by-step explanation:
According to the laws of quadrilateral, those 2 are the answer.
Hope this helps
Answer:
square and the rectangle
Step-by-step explanation:
Solve for y
3x -2y = 8
Answer:
y=3/2x-4
Step-by-step explanation:
3x-2y=8
-2y=-3x+8
y=3/2x-4
y=3/2x-4
3x-2y=8
-2y=3x+8
y=3/2x-4
Two Families with four people in each family go to a movie theater. In how many ways can they be seated in a row if both families want to sit together?
The number of ways they can be seated in a row if both families want to sit together is 2 ways
Given that two families with four people in each family go to a movie theater, in order to determine the number of ways they can be seated in a row if both families want to sit together
We will use the permutation rule since it is about the arrangement.
We will take 4 people as 1 group and the other 4 people as another group.
If the groups are to sit together, the number of ways this can be done is 2!
2! = 2 * 1
2! = 2ways
This shows that the number of ways they can be seated in a row if both families want to sit together is 2 ways
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Jacki has just completed this table using a rule for changing x into y. Which rule was she using?
Jackie use the rule y = 3x+4.
Given that there is table giving the values of x and y,
The equation of a line is linear in the variables x and y which represents the relation between the coordinates of every point (x, y) on the line. i.e., the equation of line is satisfied by all points on it.
The equation of a line can be formed with the help of the slope of the line and a point on the line.
The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis.
The point refers to a point on the with the x coordinate and the y coordinate.
Considering the two points, (0, 4) and (1, 7),
By using these points, we will find the line by which the points are passing,
So, we know that equation of a line passing through two points is given by,
y - y₁ = y₂ - y₁ / x₂ - x₁ (x - x₁)
y - 4 = 7-4 / 1-0 (x - 0)
y - 4 = 3x
y = 3x+4
Hence Jackie use the rule y = 3x+4.
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Solve for x. = x/2 = -7
Answer:
x = -14
Step-by-step explanation:
x/2 = -7
~Multiply 2 to both sides
x = -14
Best of Luck!
What is the square root of 111.2
Answer:
Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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Find the value of x.
Answer:
5
Step-by-step explanation:
Using pythagoras theorem
Answer:
4056 is the correct answer I think
Step-by-step explanation:
13×13×24=4056
HELP ASAP PKEASE HELP MEEE
Answer:
1
Step-by-step explanation:
Any number raised to the power of 0 equals to 1.
What is the approximate distance between points (-5,-1) and point M (7,6)?
A. 19.3units
B. 96.5units
C. 7 units
D. 13.9 units
The population of a country is modeled by the function f(x) = 375(1 − 0.002)x. What type of change does this function represent?
A. linear growth
B. linear decay
C. exponential growth
D. exponential decay
The function represents exponential decay, meaning that the population is decreasing over time.
Exponential decay:
Exponential growth and decay are mathematical concepts that describe the increase or decrease of a quantity over time.
Exponential decay occurs when the rate of decrease of a quantity is proportional to the current value of the quantity.
The formula for exponential decay is given:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the decay rate, and t is the time.
Here we have
The population of a country is modeled by the function
f(x) = 375(1 − 0.002)x.
The given function is f(x) = 375(1 − 0.002)x,
which can be written in form f(x) = a(1 + r)x,
where a = 375 and r = -0.002.
The formula a(1 + r)x represents exponential growth if r is positive and exponential decay if r is negative.
In this case, r = -0.002, which is negative.
Therefore,
The function represents exponential decay, meaning that the population is decreasing over time.
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Answer:
Step-by-step explanation:
The answer would be D. exponential decay
The given function is f(x)=375(1-0.002)^x
It's being raised to a power making it exponential and it's a decay because the function has a -0.002 and not +0.002
Simplify.(6x−5+4x^2)+(2x−2)
=6x + −5 + 4 x 2 + 2x + −2
=(4 x 2) + (6x + 2x) + (−5 + −2)
=4 x 2 +8x + −7
Answer - 4 x 2 + 8x + −7
Answer:
(6x-5+4x2) + (2x-2)
Step-by-step explanation:
what google said
the ratio of peter's age to richard's age is $5:8.$ the ratio of john's age to peter's age is $7:12.$ none of the three are over $100$ years old. what is the sum of their ages?
The sum of Peter, Richard, and John's ages is 191.
We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)
The ratio of John's age to Peter's age is = 7/12 --(ii)
Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)
Using the value of (i),(ii),(iii), we get -
Age of Peter = (5*12)/(8*12) = 60/96
= 60 years of age
Age of John = (7*5)/(12*5) = 35/60
=35 years of age
From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age
Hence the sum of their ages is = 96+35+60
= 191
Therefore, we know that the sum of their ages is 191.
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what is the slope y=5x-3
Answer:
5
if y doesn't have a coefficient, the coefficient of x will be the slope
Mike knows that (3,6.5) and (4,17.55) are points on the graph of an exponential function, g(x), and
he wants to find another point on the graph of this function.
First, he subtracts 6.5 from 17.55 to get 11.05.
Next, he adds 11.05 and 17.55 to get 28.6.
He states that (5,28.6) is a point on g(x).
Is he correct? Explain your reasoning.
Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
How to determine if he is correct?The points are given as:
(3,6.5) and (4,17.55)
Calculate the rate of change using:
r = y4/y3
This means that:
r = 17.55/6.5
r = 2.7
So, the next point on the graph is:
Next point = 2.7 * y4
Substitute 17.55 for y4
Next point = 2.7 * 17.55
Evaluate
Next point = 47.39
This means that the next point on the graph is (5,47.99)
Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
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it will locate in beijing, china, is 0.4, and the proba- bility that it will locate in either shanghai or beijing or both is 0.8. what is the probability that the industry will locate (a) in both cities? (b) in neither city?
Answer:
The probability that the industry will locate in both cities is 0.4. The probability that it will locate in either Shanghai or Beijing or both is 0.8.
Step-by-step explanation:
The probability that the industry will locate in both cities is 0.41. The probability that it will locate in either Shanghai or Beijing or both is 0.81. We can use the formula P(A and B) = P(A) * P(B|A) to calculate the probability of an event occurring in both cities. Let A be the event that the industry locates in Beijing and B be the event that it locates in Shanghai. Then, P(A or B) = P(A) + P(B) - P(A and B) = 0.8. Therefore, P(A and B) = P(A) * P(B|A) = (0.4 * 0.4)/0.8 = 0.2. The probability that the industry will not locate in either city is given by P(neither A nor B) = 1 - (P(A) + P(B) - P(A and B)) = 1 - (0.4 + 0.4 - 0.2) = 0.2.
yw;)
A student used the sieve of eratosthenes to find all prime numbers less than 100. create a step-by-step set of directions to show how to complete it. use the word bank to help guide your thinking as you write the directions. some words may be used just once more than once or not at all.please help i am lost
Utilizing the Sieve of Eratosthenes method is simple. In order to encircle the remaining numbers, we must cancel all multiples of each prime number starting with 2 (including the number 1, which is neither a prime nor a composite).
What the sieve of Eratosthenes to find all prime numbers?The Sieve of Eratosthenes can be used to locate all prime numbers that are less than 100, as seen in the example below. In ten rows, start by writing the numbers 1 through 100.
Therefore, based on the preceding table, we can conclude that the prime numbers 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 are. There are ten prime numbers between 50 and 100 in all. The required prime numbers are those that are surrounded.
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If you deposit $250 each much how much will you have towards the purchase of a boat after three years with an apr of 8. 4%
After three years with a monthly deposit of $250 and an APR of 8.4%, you will have approximately $10,093.46 towards the purchase of a boat.
To calculate the amount you will have towards the purchase of a boat after three years with an APR (Annual Percentage Rate) of 8.4% and monthly deposits of $250, we can use the formula for the future value of a series of regular deposits:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the deposits
P is the monthly deposit amount ($250)
r is the monthly interest rate (8.4% / 12 = 0.007)
n is the number of periods (3 years * 12 months = 36)
Let's calculate the future value:
FV = $250 * [(1 + 0.007)^36 - 1] / 0.007
FV ≈ $10,093.46
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What is the easiest way to re learn ratios
Answer:
Step-by-step explanation:
Ratios are no different from fractions. They are "comparisons" of 2 or more things. Instead of fraction bars, they use colons to separate 2 different things.
For example:
\(\frac{1}{2}\)\(=1:2\)
Now, let's do an example problem.
Ex: find the ratio of 5 cats to every dog.
We are comparing 5 cats to every 1 dog, so the ratio is:
\(5:1\)
Don't make thing more complicated to yourself, and don't overthink it. They are exactly like fractions. So treat them as such!
Suppose that an airline uses a seat width of 16.6 in. Assume men have hip breadths that are normally distributed with a mean of 14.8 in. and a standard deviation of 1.1 in. Complete parts (a) through
The probability that if an individual man is randomly selected, his hip breadth will be greater than 16.6 in. is 0.0509.
What is a Z-table?A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.
As the distribution is normally distributed, with a mean of 14.8 In., while the standard deviation is 1.1 inches. Therefore,
A.) The probability that if an individual man is randomly selected, his hip breadth will be greater than 16.6 in.
\(P(X > 16.6)=P(z > 16.6)\)
\(=1-P(z < 16.6)\)
\(=1-P\huge \text(\dfrac{16.6-\mu}{\sigma}\huge \text)\)
\(=1-P\huge \text(\dfrac{16.6-14.8}{1.1}\huge \text)\)
\(=\sf 1- 0.9491\)
\(\sf =0.0509\)
Hence, the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.6 in. is 0.0509.
B.) The probability that 127 men have a mean hip breadth greater than 16.6 in.
\(P(X > 16.6)=P\huge \text(z > \dfrac{16.6-14.8}{\frac{1.1}{\sqrt{127} } } \huge \text)\)
\(=P(z > 18.44)\)
\(=1-P(z\leq 18.44)\)
\(\sf =1-0.9995\)
\(\sf =0.0005\)
Hence, the probability that 127 men have a mean hip breadth greater than 16.6 in. is 0.0005.
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Complete question is-
Suppose that an airline uses a seat width of 16.6 in. Assume men have hip breadths that are normally distributed with a mean of 14.8 in. and a standard deviation of 1.1 in. Complete parts (a) through (c) below. (a) Find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.6 in. The probability is (Round to four decimal places as needed.) (b) If a plane is filled with 127 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.6 in. The probability is (Round to four decimal places as needed.) (c) Which result should be considered for any changes in seat design: the result from part (a) or part (b)? The result from should be considered because
(a) To find the probability of a randomly selected man having a hip breadth greater than 16.4 inches, we calculate the z-score and use the standard normal distribution.
(b) To find the probability of the mean hip breadth of 111 randomly selected men being greater than 16.4 inches, we use the Central Limit Theorem and calculate the z-score for the sample mean.
(c) The result from part (a) should be considered for seat design changes as it focuses on individual comfort and fit, while the result from part (b) considers the mean hip breadth of a group, which may not represent individual needs.
(a) To find the probability that a randomly selected man will have a hip breadth greater than 16.4 inches, we can use the standard normal distribution. First, we calculate the z-score using the formula: z = (x - μ) / σ, where x is the value we're interested in (16.4 inches), μ is the mean (14.1 inches), and σ is the standard deviation (1 inch).
Plugging in the values, we get: z = (16.4 - 14.1) / 1 = 2.3.
Next, we look up the z-score in the standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability associated with a z-score of 2.3 is approximately 0.0228.
Therefore, the probability that a randomly selected man will have a hip breadth greater than 16.4 inches is 0.0228 (or approximately 2.28%).
(b) To find the probability that the mean hip breadth of 111 randomly selected men will be greater than 16.4 inches, we use the Central Limit Theorem. According to the Central Limit Theorem, the distribution of sample means will approach a normal distribution, regardless of the shape of the original population, as the sample size increases.
Since the sample size is large (n = 111), we can assume that the distribution of the sample mean will be approximately normal. We calculate the standard error of the mean using the formula: σ / sqrt(n), where σ is the standard deviation of the population (1 inch) and n is the sample size (111).
Plugging in the values, we get: standard error = 1 / sqrt(111) ≈ 0.0947.
Next, we calculate the z-score for the sample mean using the formula: z = (x - μ) / (σ / sqrt(n)), where x is the value of interest (16.4 inches), μ is the population mean (14.1 inches), σ is the population standard deviation (1 inch), and n is the sample size (111).
Plugging in the values, we get: z = (16.4 - 14.1) / (1 / sqrt(111)) ≈ 24.17.
We then look up the z-score in the standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability associated with a z-score of 24.17 is very close to 0 (practically negligible).
Therefore, the probability that the mean hip breadth of 111 randomly selected men will be greater than 16.4 inches is approximately 0 (or extremely close to 0).
(c) When considering changes in seat design, the result from part (a) should be considered rather than the result from part (b). This is because individual passengers occupy the seats, and their individual comfort and fit should be the primary concern. The result from part (a) provides information about the probability of a randomly selected man having a hip breadth greater than 16.4 inches, which directly relates to the individual passenger's experience. On the other hand, the result from part (b) considers the mean hip breadth of a group, which may not accurately represent the needs and comfort of individual passengers.
The correct question should be :
Suppose that an airline uses a seat width of 16.4 in. Assume men have hip breadths that are normally distributed with a mean of 14.1 in. and a standard deviation of 1 in. Complete parts (a) through(c) below.
(a) Find the probability that if an individual man is randomlyselected, his hip breadth will be greater than 16.4 in. The probability is nothing . (Round to four decimal places asneeded.)
(b) If a plane is filled with 111 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.4 in. The probability is nothing . (Round to four decimal places as needed.)
(c) Which result should be considered for any changes in seatdesign: the result from part (a) or part (b)?
The result from ▼ part (b) part (a) should be considered because ▼ only average individuals should be considered. the seats are occupied by individuals rather than mean
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What is the inverse of the function f(x)=(14x)3? f−1(x)=x√34
f−1(x)=4x−−√3
f−1(x)=14x−−−√3
f−1(x)=4x√3
prime factorization of 828
Answer:
So, the prime factorization of 828 can be written as 2^2 × 3^2 × 23 where 2, 3, and 23 are prime.
Step-by-step explanation:
828 / 2 = 414
414 / 3 = 138
138 / 2 = 69
69 / 23 = 3
3 / 3 = 1
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
I also need help please help guys
find the smallest value of k, such that 693k is a perfect cube.
Answer:
MGMHMHMHNHMMJMMMH
BSEHEJR
Answer:
\(\frac{8^3}{693}=\frac{512}{693}\quad \left(\mathrm{Decimal:\quad }\:0.73881\dots \right)\)
Step-by-step explanation:
625=5^(7x-3) what is x
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
if there are 5 students who like singing and 4 students who have pets what fraction of students like to sing?
5/1
Step-by-step explanation:
you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.
I hope this helped
#5/1 is answer
Write 84000000 in standard form
Help Asap!
Determine the period of each function.(show step by steps on problem 1 and 2)
1. The period of the function is π
2. The period of the function is 6
How to determine the period of the functionFrom the question, we have the following parameters that can be used in our computation:
The graphs
By definition, the period of the function is calculated as
Period = Difference between cycles or the length of one complete cycle
Graph 1
Using the above as a guide, we have the following:
Period = 2π - π
Evaluate
Period = π
Graph 2
Using the above as a guide, we have the following:
Period = 9 - 3
Evaluate
Period = 6
Hence, the period of the functions are π and 6
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What are the multiples of 2?
Answer:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Step-by-step explanation:
Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.