The confidence interval is used to estimate the average age of all Pokémon players. Option(a) is correct.
A confidence interval displays the probability that a parameter will fall between two values close to the mean. Confidence intervals express the degree of certainty or unpredictability of a sampling technique.
The importance of a proposed (hypothesized) relationship between population statistics (parameters) and their corresponding sample estimators is examined using a hypothesis test, a statistical inference technique.
We employ confidence intervals whenever we want to estimate any parameters.
To Calculate the estimated mean we use the confidence interval formula
(X bar ± Z*σ/√n)
So option (a) is correct.
Therefore confidence interval is used to estimate the average age of all Pokémon players.
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When probability sampling is done correctly, there should be no systematic bias. A) true. B) false.
A) True. Therefore, there should be no systematic bias when probability sampling is done correctly.
When conducting a research study, it is important to ensure that the sample chosen is representative of the population. Probability sampling is a method that aims to achieve this by giving each member of the population an equal chance of being included in the sample.
When this sampling method is done correctly, it minimizes bias and ensures that the sample is truly representative. For example, let's consider a study on the average height of students in a particular school.
If we were to use probability sampling, we would assign a number to each student and then randomly select a certain number of students from that pool. This would give every student an equal chance of being chosen for the sample, eliminating any systematic bias that might arise if we were to select students based on subjective criteria.
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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
using 2 jugs of size 100 and 98 gallons, can we measure 3 gallons of water? why? can we measure 4 gallons of water?
No, we cannot measure 3 gallons of water using 2 jugs of size 100 and 98 gallons. But, we can measure 4 gallons of water using these jugs.
Let's call the two jugs A and B, with A being the 100-gallon jug and B being the 98-gallon jug.
To measure 3 gallons of water, we need to have one jug that is smaller than 3 gallons and another jug that is larger than 3 gallons.
However, both of these jugs are larger than 3 gallons.
This means that it is impossible to measure 3 gallons of water using these jugs.
To measure 4 gallons of water, we can follow these steps:
Fill jug A to the top with water.
Pour the water from jug A into jug B until jug B is full.
This will leave 2 gallons of water in jug A.
Pour the water from jug B down the drain, then pour the 2 gallons from jug A into jug B.
Fill jug A to the top with water.
Pour the water from jug A into jug B until jug B is full.
This will leave 96 gallons of water in jug B, with 4 gallons of water in jug A.
Thus, we can measure 4 gallons of water using these jugs.
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helpigiverailiestifuaser
Answer:
35 books
Step-by-step explanation:
40*3=120
120-85=35
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
Find how much interest $10,000 earns in 4 years in a certificate of deposit paying 4.5% interest compounded quarterly. The interest earned in 4 years is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
According to the Question, The interest earned in 4 years is $1,954.83.
What is compounded quarterly?
A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.
The principal is $10,000.
The annual interest rate is 4.5%, which is compounded quarterly.
Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.
The formula for calculating the future value of a deposit with quarterly compounding is:
\(P = (1 + \frac{r}{n})^{nt}\)
Where P is the principal
The annual interest rate is the number of times the interest is compounded in a year (4 in this case)
t is the number of years
The interest earned equals the future value less the principle.
Therefore, the interest earned can be calculated as follows: I = FV - P
where I = the interest earned and FV is the future value.
Substituting the given values,
\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)
The future value is:
\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)
Therefore, the interest earned is:
\(I = $11,954.83 - $10,000= $1,954.83\)
Thus, the interest earned in 4 years is $1,954.83.
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Johnny's electric bill is a variable expense. What is the average amount he pays for electricity If he paid $235 in December, $119 in January, $109 in February, $1 22 in March and $135 in April?
Find the product using distributive property 563x67
One letter is chosen at random from the word THANKS. A letter is then chosen at random from the word STARK
1. Write out ALL of the outcomes in the sample space of this chance experiment.
. 2. How many outcomes are in the sample space?
3. What is the probability that the letters chosen are AA?
1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.
The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.
Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word
Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.
Probability of choosing AA = Number of favorable outcomes / Total number of outcomes
Probability of choosing AA = 0 / 30 = 0.
Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
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Find (i) x ,y ,z and w (ii) x + y + z + w
Please lemme know with explanation
Answer:
x = 60°, y = 100°, z = 120°, w = 80°
Step-by-step explanation:
x and 120° are adjacent angles on a straight line and sum to 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
Similarly
y + 80° = 180° ( subtract 80° from both sides )
y = 100°
and
z + 60° = 180° ( subtract 60° from both sides )
z = 120°
--------------------------------------------------------------------
The sum of the interior angles in a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360°
60° + 80° + 120° + 4th angle = 360°
260° + 4th angle = 360° ( subtract 260° from both sides )
4th angle = 100°
w and 100° are adjacent angles on a straight line and sum to 180° , so
w + 100° = 180° ( subtract 100° from both sides )
w = 80°
A nurse is preparing to administer dextrose 5% in water (D5W) 750 mL IV to infuse over 6 hr. The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest whole number. Do not use a trailing zero. )
The nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr.
Determine IV pump settingThe nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr. To calculate the infusion rate, you can use the formula:
Infusion rate (mL/hr) = Volume to be infused (mL) / Infusion time (hr)
In this case, the volume to be infused is 750 mL and the infusion time is 6 hr. Plugging these values into the formula, we get:
Infusion rate (mL/hr) = 750 mL / 6 hr = 125 mL/hr
Therefore, the nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr.
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Solve the inequality and graph the solution on the line provided.
-7x + 8< -6
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-7x+8<-6 Equation/Question
Step 2
-7x+8<-6 Simplify
-7x+8<-6
Step 3
-7x+8<-6 Subtract 8
-7x<-14
Step 4
-7x<-14 Divide sides by -7
answer
x>2
Hope this helps
Solve the system of equations. 3x+2y+z=16 4x−y=−5 y+z=11
Answer:
I have no clue j need more free answer
Step-by-step explanation:
3x+2y+z=16 4x-y=-5 y+x=11
Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Sateen fabric costs $6 per yard and quilting fabric costs $4 per yard. Which system of equations can be used to find the amount x (in yards) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased?
Answer:
\(\left \{ {{6x+4y=76} \atop {x+y=16}} \right.\)
Step-by-step explanation:
1) if (according to the condition) the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6*x and the price of then sateen fabric is 4*y;
2) the 76$ she spends can be written as 6x+4y=76;
3) total of 16 yards can be written as x+y=16;
4) finally, the required system is:
\(\left \{ {{6x+4y=76} \atop {x+y=16}} \right.\)
A system of equations is a collection of two or more equations with a same set of unknowns. 4x+6y=76, x+y=16 are required system of equations.
What is system of Equations?A system of equations is a collection of two or more equations with a same set of unknowns.
According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 4x and the price of then sateen fabric is 6y;
the 76$ she spends can be written as 4x+6y=76;
Total of 16 yards can be written as x+y=16;
So the required system of Equations is:
4x+6y=76
x+y=16
Hence Option C is correct. 4x+6y=76, x+y=16.
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What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 95
xy, equals, start fraction, 5, divided by, 9, end fraction, x?
By using the concept of proportionality, it can be concluded that-
Constant of proportionality is \(\frac{5}{9}\)
What is proportion?
Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio
Proportionality can be direct or inverse
Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.
For example cost of a commodity and quantity of a commodity are in direct proportion
Two quantities are said to be in inverse proportion if on increasing the value of one quantity, the value of other quantity decreases and vice versa.
For example Number of men and number of days taken by those men to complete a job.
In the equation
\(y=\dfrac{5}{9}x\),
y is proportional to x with the constant of proportionality \(\frac{5}{9}\)
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Find the absolute maximum and minimum values of the following function on the given set R. f(x, y) = x^2 + y^2 - 2y + 1; R = {(x, y) x^2 + y^2 lessthanorequalto 16} What is the absolute maximum value? Select the correct choice below and, if necessary, fill in the answer box to complete your choice The absolute maximum value is (simplify your answer) There is no absolute maximum value.
The correct choice is that the absolute maximum value is 25.
To find the absolute maximum and minimum values of the function f(x,y) = \(x^2 + y^2\)- 2y + 1 on the set R = {(x, y) |\(x^2 + y^2 ≤ 16\)}, we need to look for critical points and boundary points.
First, we find the critical points by setting the partial derivatives of f(x,y) with respect to x and y equal to zero:
∂f/∂x = 2x = 0
∂f/∂y = 2y - 2 = 0
Solving these equations simultaneously gives us the critical point (0,1).
Now, we look at the boundary of the set R, which is the circle centered at the origin with radius 4. We can parameterize this circle using polar coordinates:
x = 4cosθ
y = 4sinθ
Substituting these values into f(x,y), we get:
f(θ) =\(16cos^2θ\) + \(16sin^2θ\) - 8sinθ + 1
= 17 - 8sinθ
To find the maximum and minimum values of f(θ), we can take its derivative:
df/dθ = -8cosθ
Setting df/dθ = 0 gives us cosθ = 0, which has solutions θ = π/2 and θ = 3π/2. Therefore, the maximum value of f(θ) occurs at θ = π/2 or θ = 3π/2, and is:
f(π/2) = 17 + 8 = 25
Similarly, the minimum value of f(θ) occurs at θ = π/2 + π = 3π/2, and is:
f(3π/2) = 17 - 8 = 9
Comparing these values to the value of f at the critical point, f(0,1) = \(0^2\)+ \(1^2 - 2(1)\)+ 1 = 0, we see that the absolute maximum value of f(x,y) on the set R is 25, and the absolute minimum value is 0.
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This is urgent I’ll brainlist u !!!!
Answer:
Q9:D
Q10:B
Step-by-step explanation:
Q9:for two graphs to be perpendicular, the product of their gradients has to be -1
multiplying the gradients of the equation in the question and the equation in option "D", we get -1 hence D is correct
Residents were surveyed in order to determine which flowers to plant in the new Public Garden. A total of N people participated in the survey. Exactly 9/14 of those surveyed said that the colour of the flower was important. Exactly 7/12 of those surveyed said that the smell of the flower was important. In total, 753 people said that both the colour and smell were important. How many possible values are there for N? Please explain clearly.
There are 2 possible values for N.
To find the number of possible values for N, we must first find the common fraction representing people who value both color and smell. To do this, we need to find the LCM (Least Common Multiple) of the denominators 14 and 12. The LCM of 14 and 12 is 84.
Let x be the number of people who value both color and smell. Then, (9/14)N + (7/12)N - x = 753, which simplifies to (27/84)N + (14/84)N - x = 753. Combining the fractions gives (41/84)N - x = 753.
Now, we know that x is an integer, and (41/84)N must be an integer as well. Therefore, N must be a multiple of 84. Since 41 is a prime number, the only multiples of 84 that can satisfy this condition are 84 and 168, making 2 possible values for N.
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A bird weighs 10 N and is standing 3 m up whats its GPE
Answer:
30 J
Step-by-step explanation:
Given : -
Height ( h ) = 3m
Weight ( W ) = 10 N
To find : GPE = ?
Note : -
GPE is Gravitational Potential Energy.
It is expressed in Joules ( J ).
Formula : -
W = mg
mg = 10 N
Formula : -
GPE = mgh
GPE = 10 x 3
GPE = 30 J
Therefore,
A bird weighs 10 N and is standing 3 m, it's
GPE is 30 J.
Answer:
The answer is GPE = 300 Nm (Newton meters)
Step-by-step explanation:
The bird's mass weighs to 10 Newtons.
Presuming this took place on Earth, the gravitational force is 10 Newtons.
The bird is standing 3 meters above the ground.
Using the GPE formula (GPE = mgw,) the answer should be 300 Newton metres.
a production line manager wants to determine how well the production line is running. he randomly selected 85 items from the assembly line and found that 7 were defective. (assume all conditions have been satisfied for building a confidence interval). find the 95% confidence interval to estimate the population proportion of items which are defective
The 95% confidence interval to estimate the population proportion of items which are defective is of:
(0.0239, 0.1409).
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The sample size and the estimate of the population proportion are given as follows:
\(n = 85, \pi = \frac{7}{85} = 0.0824\)
Then the lower bound of the interval is of:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0824 - 1.96\sqrt{\frac{0.0824(0.9176)}{85}} = 0.0239\)
The upper bound of the interval is of:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0824 + 1.96\sqrt{\frac{0.0824(0.9176)}{85}} = 0.1409\)
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GUYS I LITERALLY CANT DO THIS
simplify x²-25 / 2x²-7x-15
I'm more stuck on simplifying the bottom the top part is fine
Answer:
(x+5)/(2x+3)
Step-by-step explanation:
So we know the top part is difference of two squares. So thats (x+5)(x-5)
The bottom part
Firstly you do 2 times -15= -30
Now we need to find two numbers with a difference of 7 but multiply to give 30.
30
1 x 30
2 x 15
3 x 10
5 x 6
From here we can see 3-10=-7 and multiply to make -30
So we do 2x²-10x+3x-15
simplify this in two different parts: 2x²-10x and 3x-15
2x(x-5) and 3(x-5)
Therefore we get (2x+3)(x-5)
(x+5)(x-5)/(2x+3)(x-5)
x-5 is common so they cancel each other out leaving you with
(x+5)/(2x+3)
I hoped this helped :)
Lanthanum -144 becomes cerium- 144 when it undergoes a beta decay (write an equation)
Beta decay is a type of radioactive decay that occurs in certain atomic nuclei. It involves the transformation of a neutron or proton within the nucleus into the other.
In the case of Lanthanum-144 (La-144), a neutron undergoes beta decay to convert into a proton, resulting in the formation of Cerium-144 (Ce-144).
The equation for the beta decay of La-144 into Ce-144 is as follows:
La-144 → Ce-144 + β¯
In this equation, the La-144 nucleus decays into the Ce-144 nucleus. To conserve charge, a beta particle (β¯) is emitted. The beta particle can be either an electron (β-) or a positron (β+), depending on the specific type of beta decay occurring in the nuclide.
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a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns. how many gallons would it take to spray 2 lawns
To spray on 2 lawns is required \(3\frac{1}{9}\) gallons.
Mixed fraction A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given ;
A container with \(3\frac{1}{2}\) gallons of weed killer can spray = \(2\frac{1}{4}\) lawans
∵ in \(\frac{9}{4}\) lawn the week killer can spray = \(\frac{7}{2}\)gallons
∴ in 1 lawn the weed killer is used = \(\frac{7}{2}\) × \(\frac{4}{9}\) gallon
∴ in 2 lawns the weed killer can spray =\(\frac{7}{2}\) × \(\frac{4}{9}\)× 2 =\(\frac{28}{9}\) gallon =\(3\frac{1}{9}\)gallons
\(3\frac{1}{9}\) gallons require to spray 2 lawns.
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Please help me answer this question please?
Write the resulting equation of C^2=N^2
Answer:
(c+n)(c-n)=0 I think I'm not so sure
Ali is two years younger than Ray. Ray is 3 years younger than Nora. The sum of
their ages is 64. How old is Ray?
Answer:
Ray is 21 years old
Ali is 19 years old
and Nora is 24 years old
Find the expected return for investing in buildings in a metro area where the following three buildings are for sale:(Explain How you get the values of probability)
The cost of the building is $2 million, the total rents are $700,000 and the total expenses are $500,000.
The cost of the building is $100 million, the total rents are $39 million and the total expenses are $32 million.
The cost of the building is $19 million, the total rents are $9 million and the total expenses are $7 million.
what would you expect is the cost of a building in that metro area if its rents are $5 million and the total expense are $5 million.
what would you expect is the net profit per year would be if a building in that metro area cost $50 million.
The expected return for investing in buildings in the metro area cannot be determined with the given information.
To calculate the expected return, we would need to know the probabilities associated with different scenarios. These probabilities could include factors such as occupancy rates, rental market trends, and economic conditions. Without this information, it is not possible to calculate the expected return accurately.
Furthermore, the expected cost of a building with rents and expenses of $5 million each, or the expected net profit per year for a $50 million building, cannot be determined without additional data on rental market conditions, operating expenses, and other relevant factors. These values would depend on various factors such as location, demand, competition, and market dynamics. Therefore, without more information, it is not possible to provide an accurate estimate for these figures.
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allowing users to dive deeper into the view of data with online analytical processing (olap) is an important part of
Allowing users to dive deeper into the view of data with Online Analytical Processing (OLAP) is essential for comprehensive data analysis and decision-making.
Online Analytical Processing (OLAP) is a powerful technology that enables users to interactively analyze and explore data from various perspectives. It plays a crucial role in allowing users to dive deeper into the view of data by providing advanced analytical capabilities.
OLAP systems facilitate multidimensional data analysis, which allows users to navigate through different dimensions, hierarchies, and levels of detail. They can drill down, slice, dice, and pivot data to examine it from various angles, uncovering patterns, trends, and correlations that may not be apparent in traditional data representations.
OLAP also supports aggregation functions, allowing users to summarize data and perform calculations across multiple dimensions.
By allowing users to dive deeper into the view of data, OLAP empowers them to make informed decisions. They can perform ad-hoc analysis, conduct what-if scenarios, and interactively explore data to answer specific business questions.
OLAP's interactive nature enables users to iteratively refine their analysis, adjusting parameters, filters, and dimensions in real-time.
In addition, OLAP systems provide interactive visualization capabilities, presenting data through charts, graphs, and dashboards. This visual representation enhances data understanding and facilitates the identification of trends and outliers.
Overall, allowing users to dive deeper into the view of data with OLAP enhances their analytical capabilities, promotes data exploration, and enables them to make data-driven decisions. It is an important part of comprehensive data analysis and facilitates a deeper understanding of complex datasets.
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the transformation shown is a reflection
true or false
Answer:
False.
Step-by-step explanation:
False. In a reflection, either the x coordinate or the y coordinates of the shape have to be multiplied by -1.
This is a rotation.
a jewellry shop sells 240 necklaces in a month
Answer:
Ratio is 1:3
Step-by-step explanation:
Given that a jewellery shop sells 240 necklaces in a month. 180 were sold via the shops website, the rest were sold in a high street shop.
We have to work out the ratio for online sales to shop sales
Total sales .. 240
Shop sale .. 180
Online sa .. 60
Hence ratio for online sales:shop sales
Answer:
3:1 would be the most simplified answer
Step-by-step explanation:
I found out what the question was
the quadratic $x^2-3x 1$ can be written in the form $(x b)^2 c$, where $b$ and $c$ are constants. what is $b c$?
The value of b = -3/2 and c = -5/4
To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:
(x + b)² = x² + 2bx + b²
Comparing this to the given expression x² - 3x + 1, we see that we need:
2bx = -3x, so b = -3/2
b² + c = 1, so substituting b = -3/2 gives:
(9/4) + c = 1
so c = 1 - 9/4
= 4/4 - 9/4
= -5/4
The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).
Therefore, the value of b = -3/2 and c = -5/4
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Given question is incomplete, the complete question is below
the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?