Answer:
Step-by-step explanation:
Because the line is a perfect reflection over the x-axis it means that the relation is a function.
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Question 2
In 2007 the US Census Bureau reported that 71.3% of American families owned their
homes. The city council is debating on whether to offer tax breaks to first time
homebuyers, but they only want to do so if there is strong evidence that the rate of
home ownership has increased since 2007 since it will cost the city money to do so.
a) What are the null and alternative hypothesis?
b) Describe a Type I error in context along with the consequence.
c) Describe a Type Il error in context along with the consequence.
d) Which is a more serious error in this context? Justify your answer
e) For each type of error, tell who would be harmed.
(These are questions to answer, not answer choices.)
The answer to all the questions is explained below with justifications.
What is hypothesis testing?In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The type of data used and the purpose of the study will determine the methodology the analyst uses.
a) The null hypothesis\((H_o)\) is that 71.3% or more of American families owned their homes.
The alternative hypothesis\((H_1)\)is less than 71.3% of American families owned their homes.
b) The type I error is the null hypothesis is true but we assumed it to be false that is 71.3% or more of American families owned their homes but the council did not provide tax breaks.
The type II error is the null hypothesis is false and we assumed it to be true
that is less than 71.3% of American families owned their homes and the council provides tax breaks.
c) The consequences of the type II error would be the council will provide tax breaks to more people and it would cost them a large amount of money.
d) Type II error is more serious in this context as the council has to lay off a large amount as compared to individual homeowners who already can afford to buy a house.
e) For type I error house owners will be harmed and for type II error counsel will be harmed.
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A study reports that about half of pet owners have either a dog or a cat. The other half of pet owners have birds,
reptiles, or other animals. To find out if this applies in its area, an animal shelter surveys a random sample of 30 pet
owners. Nineteen of them say they own either a cat or a dog.
Let even digits represent owning a cat or a dog and odd digits represent owning some other type of animal.
08979
61956
77989
04853
28580
80896
Using the line of random numbers, what is the best estimate of the proportion of responses in a sample who own either
a cat or a dog?
0.47
0 0.50
0.53
0.63
Answer:
0.53< I just did the quiz.
Step-by-step explanation:
Which expression is equivalent to 1/7 divided by 2/5
Answer:
is C
1/7 • 5/2
have a nice day!
Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob
Answer:
0.4, incase you want it, it also is 40% and \(\frac{2}{5}\\\).
Step-by-step explanation:
10/25 =0.4
Hope this helped :D
Find the value of x
Answer:
11
Step-by-step explanation:
2x - 6 = 16 (Based on similarity)
2x = 16 + 6
2x = 22
x = 22/2
x = 11
Determine the equation of the circle with radius \(111\) and center (9,5)
The equation of the circle with a radius of 111 and a center at (9, 5) is:
To determine the equation of a circle, we use the standard form equation:
\((x - h)^2 + (y - k)^2 = r^2\)
Where (h, k) represents the center coordinates of the circle, and r represents the radius.
In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:
(x - 9)^2 + (y - 5)^2 = 111^2
Expanding and simplifying further:
\((x - 9)^2 + (y - 5)^2 = 12321\)
Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:
(x - 9)^2 + (y - 5)^2 = 12321
This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.
To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.
It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.
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12.5% written as a fraction in simplest form? With work
Which is not equivalent to 8/12
16/24
24/48
4/6
24/36
Answer:
The second one, 24/48
Brainliest would be great!
Answer:
24/48
Step-by-step explanation:
What is the relationship between Za and Zb?
The probability of an event happening is 5/9 . What are the odds in favor of the event happening?
The odds in favor of the event happening are 5 to 4.
We have,
To find the odds in favor of an event happening, we use the formula:
Odds in favor = Probability of the event happening / Probability of the event not happening
In this case,
The probability of the event happening is 5/9.
The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:
Odds in favor
= 5/9 / 4/9
= 5/4
Therefore,
The odds in favor of the event happening are 5 to 4.
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Which three ratios are used to mathematically produce the return on equity ratio.
The correct answer will be option (B) total assets to equity, option ( C) net profit margins, and option (D) total assets turnover.
Three ratios that are used to mathematically produce the return on equity will be net profit margin along with net total Asset turnover and total assets to equity. This will help in deriving the return on equity.
The debt-to-total asset ratio shows the amount of a business possessed by leasers (individuals it has acquired cash from) contrasted and the number of the organization's resources claimed by investors. It is one of three estimations used to gauge the obligation limit, alongside the obligation overhauling proportion and the debt-to-equity ratio. The total debt-to-total-asset ratio is calculated by dividing a company's total debts by its total assets. By and large, debt to equity or debt to asset ratio below 1.0 would be viewed as moderately protected, though proportions of 2.0 or higher would be thought of as dangerous.
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Help help help help help help help help help help
Answer:
-√32 < 59/11 < √30 < 5.49
13^-4/13^4=13^0
True of False
What is the answer I need help I don’t know this one and I am trying to get my grades up
Answer:
Step-by-step explanation:
To find the volume of a cone, we need to use the formula:
Volume = (1/3) * π * r^2 * h,
where π is the mathematical constant pi (approximately 3.14159), r is the radius of the base of the cone, and h is the height of the cone.
Given that the diameter of the cone is 12 m, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 12 m / 2 = 6 m.
Now we can substitute the values into the volume formula:
Volume = (1/3) * π * (6 m)^2 * 5 m.
Calculating the volume:
Volume = (1/3) * 3.14159 * (6 m)^2 * 5 m
= (1/3) * 3.14159 * 36 m^2 * 5 m
= 3.14159 * 6 * 5 m^3
= 94.24778 m^3.
Therefore, the volume of the cone is approximately 94.25 cubic meters.
Prove the following statement:
For a prime number p >= 11, p | a*(315)^a + 2022 can be
satisfied by any integer a. That is, a*(315)^a + 2022 is divisible
by p for any given integer a
For a prime number p ≥ 11, p | a*(315)^a + 2022 can be satisfied by any integer a, as the expression is divisible by p for all possible values of a.
To prove the statement that for a prime number p ≥ 11, p | a*(315)^a + 2022 for any integer a, we need to show that the expression is divisible by p for all possible values of a.
Let's consider a prime number p ≥ 11 and an arbitrary integer a. We will show that p divides a*(315)^a + 2022.
First, we can rewrite the expression as a*(315)^a + 2022 = a*(5*7^2*3^2)^a + 2022.
Expanding this further, we get a*(5^a)*(7^(2a))*(3^(2a)) + 2022.
Now, let's consider the expression modulo p:
(a*(5^a)*(7^(2a))*(3^(2a)) + 2022) mod p.
We will show that this expression is congruent to 0 modulo p, which means it is divisible by p.
Since p is a prime number greater than or equal to 11, we can consider the possible residues of a, 5^a, 7^(2a), and 3^(2a) modulo p.
For any given residue of a modulo p, the residues of 5^a, 7^(2a), and 3^(2a) modulo p will always be integers. This is because p is a prime number, and by Fermat's Little Theorem, a^(p-1) ≡ 1 (mod p) if a is not divisible by p.
Therefore, the expression a*(5^a)*(7^(2a))*(3^(2a)) will always have a factor of p when evaluated modulo p.
Additionally, the constant term 2022 is congruent to 0 modulo p if p divides 2022.
Hence, we have shown that the expression (a*(315)^a + 2022) mod p is congruent to 0 modulo p for any given integer a.
Therefore, we can conclude that for a prime number p ≥ 11, p | a*(315)^a + 2022 can be satisfied by any integer a, as the expression is divisible by p for all possible values of a.
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An artist plans to sell $250 of prints online each week. This week, she is within $25 of her goal.
Answer:
She has $225 dollars so far.
Step-by-step explanation:
To determin the answer, its pretty simple:
take 250 and subtract 25 from 250 (250 - 25).
This would give you $225 dollars. To check, add 25 to $225 and you would get $250. $225 is your final answer.
A student took a total of 4 tests over the course of 8 weeks. How many weeks of school will the student attend to take a total of 20 tests?
Answer:
4/8 = 20/x
20 x 8 = 160
160 ÷ 4 = 40
the student will attend 40 weeks of school
In 2009, Internationale Outstanding University (IOU) had an enrollment of 25,822 undergraduates, each of whom paid $6,374 per year in tuition. In 2010, enrollment was 27,843 students, and tuition was raised 5.7\%. In 2011, IOU received $186.8M in revenue from student tuition, and enrollment was 26,462 students. In 2012 , it is estimated that tuition will be $7,057 and 10U needs to receive 4.9% more total revenue from tuition than in 2011. Assuming the 2012 revenue and student enrollment goals are met, what will be the average annual growth rate of tuition for 2009 to 2012 ?
The arithmetic mean growth rate (average growth rate of YoY growth rates) is 4.72%. This suggests that the average annual growth rate of tuition fluctuated considerably over the period under consideration.
The question describes the tuition structure of the Internationale Outstanding University (IOU) during 2009 to 2012. To calculate the average annual growth rate of tuition for the given years, the following steps are necessary:
Step 1: Calculate the tuition revenue for each year (2009 - 2012) and find the year-on-year (YoY) growth rate in tuition revenue.
Step 2: Calculate the weighted average growth rate for the period 2009 to 2012 using the compound annual growth rate (CAGR) formula.
Step 3: Compare the weighted average growth rate with the arithmetic mean to understand the impact of changes in the growth rate over the period under consideration. 2009: Enrollment = 25,822, Tuition Fee = $6,374Yearly Tuition Revenue = Enrollment * Tuition fee = 25,822 * 6,374 = $164,994,828.
YoY growth rate = 0%2010:Enrollment = 27,843, Tuition Fee = 1.057 * $6,374 = $6,764.18Yearly Tuition Revenue = Enrollment * Tuition fee = 27,843 * 6,764.18 = $188,387,234 YoY growth rate = 14.00%2011:
Enrollment = 26,462, Tuition Fee = $186,800,000 / 26,462 = $7,054.50 Yearly Tuition Revenue = Enrollment * Tuition fee = 26,462 * 7,054.50 = $186,796,307 YoY growth rate = -0.001%2012: Enrollment = 10U (unknown), Tuition Fee = 1.049 * $7,054.50 = $7,408.26
Yearly Tuition Revenue = Enrollment * Tuition fee = U * 7,408.26 YoY growth rate = 4.90%The formula for calculating CAGR is given by:CAGR = (EV/BV)^(1/n) - 1, where, EV = Ending Value, BV = Beginning Value, and n = Number of years.
For the given problem, the CAGR is calculated as follows: CAGR = ($186,796,307 / $164,994,828)^(1/3) - 1 = 0.0422 or 4.22%. The weighted average growth rate for the period 2009 to 2012 is 4.22%. This indicates the average annual growth rate of tuition over the four years.
The arithmetic mean growth rate (average growth rate of YoY growth rates) is 4.72%. This suggests that the average annual growth rate of tuition fluctuated considerably over the period under consideration.
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I need help with this please
The ordered pairs that are solutions to the inequality in this problem are given as follows:
(0,0).(2,0).(-2,2).(-2,0).How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
In which the coordinates are given as follows:
x is the x-coordinate. -> horizontal coordinate.y is the y-coordinate. -> vertical coordinate.The ordered pairs that are solutions to the inequality are in the shaded region for this problem, hence they are given as follows:
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A product's quality characteristic has a specification (in inches) of $0.200 \pm 0.020$. If the value of the quality characteristic exceeds 0.200 by the tolerance of 0.020 on either side, the product will require a repair of $\$ 150$. The Taguchi loss function for this example is given by:
$L(x)=60(x-T)^2$
b. $L(x)=150(x-T)$
c. $L(x)=375,000(x-T)^2$
d. $L(x)=30(x-T)^2$
If the value exceeds\($0.200$\) by the tolerance of \($0.020$\) on either side, a repair cost of \($\$150$\)is incurred.
\($L(x) = 150(x - T)$\) option b.
The Taguchi loss function measures the cost or loss associated with deviations from a target value in a quality characteristic.
In this case, the specification for the quality characteristic is \($0.200 \pm 0.020$\).
If the value exceeds \($0.200$\) by the tolerance of \($0.020$\)on either side, a repair cost of $\$150$ is incurred.
Based on this information, the Taguchi loss function for this example is given by:
b.\($L(x) = 150(x - T)$\)
In the given options, option b represents the correct Taguchi loss function. The loss function is a linear function where the loss increases linearly with the deviation from the target value.
The coefficient of \($150$\) represents the cost of repair per unit deviation.
This loss function is appropriate for the given scenario as it accurately captures the cost associated with deviations from the target value.
The Taguchi loss function provides a quantitative measure to assess the impact of variations in the quality characteristic and helps in making decisions regarding process improvement and optimization.
In this case, it allows for evaluating the cost implications of exceeding the specified tolerance and guides decision-making on whether repairs are necessary based on the associated costs.
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If the general solution of a differential equation is y(t)=Ce^(-2t)+15, what is the solution that satisfies the initial condition y(0)=9?
y(t)=________
The solution to the differential equation y(t) = Ce^(-2t) + 15 that satisfies the initial condition y(0) = 9 is: y(t) = -6e^(-2t) + 15.
To find the solution that satisfies the initial condition y(0) = 9, we substitute t = 0 into the general solution of the differential equation y(t) = Ce^(-2t) + 15:
y(0) = Ce^(-2(0)) + 15
9 = Ce^0 + 15
9 = C + 15
Now, we can solve this equation for C:
C = 9 - 15
C = -6
Therefore, the value of the constant C is -6.
Now that we have determined the value of C, we can substitute it back into the general solution to obtain the particular solution that satisfies the initial condition:
y(t) = Ce^(-2t) + 15
y(t) = -6e^(-2t) + 15
This equation represents the unique solution to the differential equation that meets the given initial condition. The term -6e^(-2t) represents the complementary solution, which accounts for the general behavior of the differential equation, while the constant term 15 represents the particular solution that satisfies the initial condition.
It's important to note that the exponential term e^(-2t) decays as t increases, so the value of y(t) approaches the constant term 15 as time goes to infinity. The negative coefficient -6 reflects the decreasing nature of the exponential term, causing y(t) to approach the steady-state value of 15 from above.
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the price of an item has been reduced by 20%. the origianal price was 76
Answer:
$60.8
Step-by-step explanation:
Twenty percent of 76 is,
→ 20% of 76
→ (20/100) × 76
→ 1520/100
→ [ $15.2 ]
The reduced price of the item is,
→ 76 - 15.2
→ [ $60.8 ]
Hence, the price is $60.8.
During the fourth quarter, the running back loses 6 yards before making gains of 9 yards, 8 yards, and 3 yards. The running back then loses 3 yards. During the fourth quarter, the running back totals how many yards?
Answer: 11
Step-by-step explanation: Calculators answer
Make t subject of the formula
S=(v - u) t ÷ 2
Please I need it before tomorrow
Answer:
t= \(\frac{-2S}{u-v}\)
Step-by-step explanation:
Solve S=(v - u) t ÷ 2
t= \(\frac{-2S}{u-v}\)
Shea wrote the expression 5(y + 2) + 2 to show the amount of money five friends paid for snacks at a basketball game. Which expression is equivalent to the one Shea wrote?
a 5 + y + 5 + 2 + 4
b 5 x y x 5 x 2 +4
c 5 x y x 4 + 5 x 2 x 4
d 5 x y + 5 x 2 + 4
The expression that is equivalent to the one Shea wrote is b 5 x y x 5 x 2 +4
Which expression is equivalent to the one Shea wrote?From the question, we have the following parameters that can be used in our computation:
5(y + 2) + 2 shows the amount of money five friends paid for snacks at a basketball game
This means that
Amount = 5(y + 2) + 2
When expanded, we have
Amount = 5 * y + 5 * 2 + 2
Using the above as a guide, we have the following:
The expression that is equivalent to the one Shea wrote is b 5 x y x 5 x 2 +4
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ANSWER FOR BRAINLIEST:
The low temperatures for the last five days are: Low Temperatures: 62, 46, 50, 52, 55.
Find the MEAN ABSOLUTE DEVIATION (MAD) of the temperatures
Sample size:5
Mean: 53
Mean Absolute Deviation (MAD): 4.4
PLEASE HELP!!!!!!!!!!!!!!
Simplify (-5)^5/(-5)^-6
What is the y-intercept of the graph?
Answer:
1
intercepts on the y line
22*90 what 2+2 3 +3 3+3
\(\huge\textbf{Hey there!}\)
\(\mathsf{ASSUMING: }\\\mathsf{22\times90}\\\mathsf{= 90 \times 22}\\\mathsf{= 1,980}\)
\(\mathsf{ASSUMING: }\\\mathsf{2 + 2 + 3 + 3 + 3 + 3}\\\mathsf{= 2\times 2 + 3\times4}\\\mathsf{= 4 + 12}\\\mathsf{= 16}\)
\(\huge\textsf{Answer \#1. 1,980 }\huge\checkmark\\\\\\\huge\textsf{Answer \#2. 16 }\huge\checkmark\)
\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)
~\(\frak{Amphitrite1040:)}\)
What is the rate of change of the function represented by the table?
x
y
1
–8.5
2
–6
3
–3.5
4
–1
–2.5
–1
1
2.5
Answer:
Skip this answer.
Just guess one of the answers
Step-by-step explanation: