Answer:
PT = 29
Step-by-step explanation:
Given that T is the midpoint of PQ , then
PT = TQ , substitute values
3x + 8 = 5x - 6 ( subtract 3x from both sides )
8 = 2x - 6 ( add 6 to both sides )
14 = 2x ( divide both sides by 2 )
7 = x
Thus
PT = 3x + 8 = 3(7) + 8 = 21 + 8 = 29
Find the of this circle in terms of pi
Answer: π / 4
Step-by-step explanation:
Area of a circle = π x r^2
= π x 0.5^2
= π / 4
Answer:
A = 0.25 π m²
Step-by-step explanation:
Area = \(\pi r^2\)
Where r = 0.5 m
A = (0.5)^2 × π
A = 0.25 π m²
Find an ordered pair (x,y) that is a solution to the equation
-x+5y=4
Answer:
(1, 1 )
Step-by-step explanation:
choose any value of x to substitute into the equation and solve for y
choosing x = 1 , then
- 1 + 5y = 4 ( add 1 to both sides )
5y = 5 ( divide both sides by 5 )
y = 1
then (1, 1 ) is a solution to the equation
Answer:
- x + 5 y = 4 (x = 6)
- ( 6 ) + 5 × 2 = 4 (y = 2)
- 6 + 10 = 4
4 = 4
∴ (6, 2) is an ordered pair that is a solution to the given equation .
-2=6/7p answer plssss
Answer:
P= -2 1/3
Step-by-step explanation:
Answer: photo MATH
Answer:
p=-7/3=-2.333
Step-by-step explanation:
Step 1: You can rearrange the equation to get a simpler and easier form to understand what to do next. In this case, rearranging it while keeping the same question would end up in -2-(6/7*p)=0
Step 2: Simplify 6/7. That would be in getting zero as your answer, but the equation form would be -2-(6/7*p)=0. Then subtract the fraction from a whole as -2=-2/1=(-2*7)/7 while adding up the two equivalent fractions, (-2 • 7 - (6p))/7=(-6p - 14)/7.
Step 3: Pull out the like factors. So to make it easier, you would have to solve -6p - 14 = -2 • (3p + 7). This would get you the equation at the end (-2 • (3p + 7))/7=0.
Step 4: When a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero. Now, to get rid of the denominator, you must multiply both sides of the equation by the denominator.
Here's how:
-2•(3p+7)
————————— • 7 = 0 • 7
7
Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero. The equation now takes the shape :
-2 • (3p+7) = 0
Since it's now time to solve each equation individually, it would be -2=0, which we know isn't true and the right answer. That leaves 3p+7=0. So subtract 7 from both sides to get 3p=-7. And with last thing to do, divide both sides by 3 to get your final answer of p = -7/3, your final answer. Hope this helps :)
(c) If 2a + 7b = 11 and ab = 2, find the value of 4a2 + 49b2.
I hope this helps you
take both of sides paranthesis square
(2a+7b)^2=(11)^2
4a^2+2.4a.7b+49b^2=121
4a^2+49b^2+56.2=121
4a^2+49b^2=9
Answer:
65
Step-by-step explanation:
Please see the attached picture for full solution.
T/7=3 what’s the answer?
Answer:
t=7x3
t=21
Step-by-step explanation:
hope this helps you!!!
Answer:
21
Step-by-step explanation: T/7= 3 so t= 7×3= 21
21÷7=3
6/1000 as a common fraction
How to convert feet in a meter?
Answer: Divide meters by 1.09 then multiply by 3
Step-by-step explanation: 1 meter is equivalent to about 1.09 yards, and a yard is equal to 3 feet.
Answer: multiply the length value by 3.281
Assuming that the y-axis tick marks will be separated by 50 (50, 100, 150, and so on), what is the largest value that should appear on the y-axis?
Assuming that the y-axis tick marks will be separated by 50 (50, 100, 150, and so on). The largest value that should appear on the y-axis is 400.
Largest value:
The maximum value of a dataset is often called the maximum value (max for short), and the minimum value is often called the minimum value (or min). The difference between the maximum and minimum values, sometimes called the range, is calculated by subtracting the minimum value from the maximum value.
Dependent and Independent Variables for ChartResearchers varied the time of the experiment to measure the activity of the enzyme on glucose-6-phosphate (substrate). This happened because the enzyme acted on glucose-6-phosphate to produce glucose and a phosphate ion (Pi).
The concentration of phosphate ions was measured in the experiment. Therefore, time is the independent variable plotted on the x-axis and phosphate ion concentration is the dependent variable plotted on the y-axis.
The measured phosphate ion concentration ranges from 0 to 355. The maximum possible value is 355, so the y-axis range must be between 0 and 400. So the maximum value on the y-axis is 400.
50 units should separate the y-axis ticks. All tick marks are evenly spaced.
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Acellus, Inscribed Angles
Find the value of y.
x
120°
Answer:
\(y=60\textdegree\)
Step-by-step explanation:
The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.
Therefore, \(y=\frac{1}{2} *120\textdegree = \bf 60\textdegree\). Hope this helps!
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1637 mailboxes
this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to
make these mailboxes? In your calculations, use the value 3.14 for 1t, and round up your answer to the next square meter.
By calculating the surface area of each of the mailboxes we can conclude that the company will need 1739 square meters of aluminum to make the mailboxes.
Define surface area?
The total area that includes all the structures that cover an object's surface is known as its surface area. Surface area of a rectangular prism = 2ab + 2bc + 2ac, where a = length, b = height, c = width.
To calculate the amount of aluminum needed to make the mailboxes, we need to find the surface area of each mailbox and then multiply by the number of mailboxes.
The surface area of each mailbox can be divided into four rectangular faces and two half-cylinder faces.
The rectangular faces have dimensions of 0.3 m x 0.25 m and 0.3 m x 0.3 m. The area of each of the rectangular face are:
0.3 m x 0.25 m = 0.075\(m^2\)
0.3m x 0.3m = 0.09\(m^2\)
Hence the total area of all four rectangular faces is:
4 x (0.075 \(m^2\) + 0.09\(m^2\)) = 0.78 \(m^2\)
The half-cylinder faces have a radius of 0.15 m and a height of 0.3 m. The area of each half-cylinder face is:
2 x (1/2 x 3.14 x\(0.15^2\)) + 3.14 x 0.15 x 0.3 = 0.141 \(m^2\)
So the total area of both half-cylinder faces is:
2 x 0.141 \(m^2\) = 0.282 \(m^2\)
Therefore, the total surface area of one mailbox is:
0.78 \(m^2\) + 0.282 \(m^2\)= 1.062 \(m^2\)
To find the total amount of aluminum needed to make 1637 mailboxes, we multiply the surface area of one mailbox by the number of mailboxes:
1.062 \(m^2\)/mailbox x 1637 mailboxes = 1738.794 \(m^2\)
Rounding up to the next square meter, the company will need 1739 square meters of aluminum to make the mailboxes.
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An article in Transactions of the Institution of Chemical Engineers (1956, Vol. 34, pp. 280-293) reported data from an experiment investigating the effect of several process variables on the vapor phase oxidation of naphthalene. A sample of the percentage mole conversion of naphthalene to maleic anhydride follows: 4.2, 4.7,4.7, 5.0, 3.8, 3.6, 3.0, 5.1, 3.1, 3.8, 48, 4.0, 5.2, 4.3, 2.8, 2.0, 2.8, 3.3, 4.8, 5.0. a. (5 points) Calculate the sample mean, sample variance, and sample standard deviation.
The "sample-mean" is 4, the sample-variance is 0.876, and the sample standard-deviation is 0.935.
To calculate the sample-mean, sample variance, and sample standard deviation, we use the formulas:
Sample mean (x') = (sum of all values)/(number of values)
Sample variance (s²) = [(sum of (each value - sample mean)²/(number of values - 1)],
Sample standard deviation (s) = √(sample variance),
Given the data: 4.2, 4.7, 4.7, 5.0, 3.8, 3.6, 3.0, 5.1, 3.1, 3.8, 4.8, 4.0, 5.2, 4.3, 2.8, 2.0, 2.8, 3.3, 4.8, 5.0.
⇒ Calculate the sample-mean (x'):
x' = (4.2 + 4.7 + 4.7 + 5.0 + 3.8 + 3.6 + 3.0 + 5.1 + 3.1 + 3.8 + 4.8 + 4.0 + 5.2 + 4.3 + 2.8 + 2.0 + 2.8 + 3.3 + 4.8 + 5.0) / 20
x' ≈ 80/20 = 4
So, mean is 4,
⇒ Calculate the sample-variance (s²):
s² = [(4.2 - 4)² + (4.7 - 4)² + (4.7 - 4)² + (5.0 - 4)² + (3.8 - 4)² + (3.6 - 4)² + (3.0 - 4)² + (5.1 - 4)² + (3.1 - 4)² + (3.8 - 4)² + (4.8 - 4)² + (4.0 - 4)² + (5.2 - 4)² + (4.3 - 4)² + (2.8 - 4)² + (2.0 - 4)² + (2.8 - 4)² + (3.3 - 4)² + (4.8 - 4)² + (5.0 - 4)²]/(20-1),
s² = [0.04 + 0.49 + 0.49 + 1.0 + 0.16 + 0.64 + 1.0 + 1.21 + 0.81 + 0.16 + 0.64 + 0.0 + 1.44 + 0.09 + 1.44 + 4.0 + 1.44 + 0.49 + 0.64 + 1.0]/19,
s² = 16.64/19 ≈ 0.876,
⇒ Calculate the sample standard-deviation (s):
s = √(s²)
s ≈ 0.935
Therefore, the standard-deviation is 0.935.
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If IJ=16 and JK=9, what is the length of HK⎯⎯⎯⎯⎯⎯?
Answer:
25 or 26
Step-by-step explanation:
add 9 plus 16
so it is 16
Answer:
15
Step-by-step explanation:
Sarah took a survey asking students if they prefer summer or winter sports. She found that 12 out of 18 students prefer summer sports. Determine what fraction of students prefers winter sports. Write your response in simplest form Explain how you found your answer. (answer tomorow i have a test)
If 12 out of 18 students prefer summer sports, then the fraction of students prefer winter sports is 33.33%
Total number of students = 18
The number of student prefer summer sports = 12
Then the number of student who prefer winter sports = Total number of students - The number of student prefer summer sports
= 18 - 12
= 6 students
The percentage is number that can be represented as the fraction of 100.
It is denoted by the percentage sign "%"
Then the fraction of students who prefer winter sports = (Number of student who prefer winter sports /Total number of students )×100
= (6/18) × 100
= 33.33%
Hence, if 12 out of 18 students prefer summer sports, then the fraction of students prefer winter sports is 33.33%
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What is the median of this data set?
{15, 14, 6, 10, 7, 15, 7, 8}
Enter vour answer in the box
The median of the dataset is 9.
What is the median ?
Median is a measure of central tendency that is used to determine the number that is at the center of a dataset. The dataset has to be arranged in either ascending or descending order.
The data set arranged in ascending order : 6, 7, 7, 8, 10, 14, 15, 15
Median = (n + 1) / 2 = (8 + 1) / 2 = 9/2 = 4.5th number = (10 + 8) / 2 = 18/2 = 9
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45 boys and 90 girls are taking Choir this year at Travis Middle School. 20% of the students enrolled have secured solos. How many students have secured solos?
Answer: 27 students
Step-by-step explanation:
First take 45 + 90 = 135 students total
20% = 0.2
Then take 135 times 0.2 = 27 students
The population of ages at inauguration of all u. s. presidents who had professions in the military is 62, 46, 68, 64, 57. why does it not make sense?
The population of ages at inauguration of all u. s. presidents is option B. With a data et that is loss small, the true nature of the distribution cannot be seen with a histogram.
The distribution is not always dramatically far from being a ordinary distribution with a bell form, so there is not robust proof towards a normal distribution. A histogram is a graph such as bars of equal width drawn adjoining to each different, until there aren't any gaps within the facts. The horizontal scale represents lessons of quantitative information values, and the vertical scale represents frequencies. the heights of the bars correspond to frequency values.
Histograms are not free of biases. clearly, they're arbitrary and may lead to wrong conclusions about data. if you need to visualize a variable, higher to select a distinct plot.
Disclaimer:- your question is incomplete,please see below for complete questuon.
A.This data set would yield a histogram that is not bell-shaped.
B.With a data et that is loss small, the true nature of the distribution cannot be seen with a histogram.
C.There must be an even number of data values in the data set to create a histogram.
D.Adequate class boundaries for a histogram cannot be found with this data set.
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ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Answer:
Step-by-step explanation:
a). 'Per ml' cost of the small size = \(\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}\)
= \(\frac{4.50}{250}\)
= $0.018
'Per ml' cost of the medium size = \(\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}\)
= \(\frac{9.95}{500}\)
= $0.0199
'Per ml' cost of the large size = \(\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}\)
= \(\frac{16.95}{1000}\)
= $0.01695
Therefore, expression to compare per ml cost of three containers will be,
$0.0199 > $0.018 > $0.01695
b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.
Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner
= Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container
Total cost of 1500 ml = $16.95 + $4.50n
= 16.95 + 2(4.5) [For n = 2]
= $25.95
c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners
Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers
= 9.95(n)
= 9.95(3)
= $29.85
in correlational and experimental study designs, a key requirement for a sample is that: group of answer choices
In correlational and experimental study designs, a key requirement for a sample is that population whom the researchers are investigation
A sample is a portion of a larger population that is selected to represent the entire group. In both correlational and experimental study designs, a key requirement for a sample is that it should be representative of the population it is meant to represent.
In a correlational study design, the goal is to examine the relationship between two or more variables. The sample must be representative of the population to ensure that the correlation calculated from the sample is representative of the correlation that exists in the population.
If the sample is not representative, the correlation calculated from the sample may be different from the correlation that exists in the population, leading to incorrect conclusions.
In an experimental study design, the goal is to test a causal relationship between two or more variables.
The sample must be representative of the population to ensure that the results of the experiment are generalizable to the population.
If the sample is not representative, the results of the experiment may not be generalizable to the population, leading to incorrect conclusions.
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Please help ASAP
Will mark as brainliest answer
Answer:
i hope this will help you
Answer:
a = 1b = √15Step-by-step explanation:
An equation is solved for one of the variables by undoing the operations done on that variable. Here, we can solve for 'a' and solve for 'b' to find the desired values.
__
value of aSolve for 'a', then substitute the value of 'b'.
\(\sqrt{9a}=\dfrac{b^2-3}{2}\\\\9a=\left(\dfrac{b^2-3}{2}\right)^2=\dfrac{(b^2-3)^2}{4}\\\\a=\dfrac{(b^2-3)^2}{36}=\dfrac{((-3)^2-3)^2}{36}=\dfrac{6^2}{36}\\\\\boxed{a=1}\)
__
value of bSolve for 'b', then substitute the value of 'a'.
\(\sqrt{9a}=\dfrac{b^2-3}{2}\\\\2\cdot3\sqrt{a}=b^2-3\\\\6\sqrt{a}+3=b^2\\\\b=\sqrt{6\sqrt{a}+3}=\sqrt{6\sqrt{4}+3}=\sqrt{12+3}\\\\\boxed{b=\sqrt{15}}\)
the game of matching pennies group of answer choices has no nash equilibrium. has a pure-strategy nash equilibrium. has a mixed strategy nash equilibrium. has multiple nash equilibria.
The game of matching pennies has a mixed strategy Nash equilibriumIn the game of matching pennies, there are two players, Player 1 and Player 2.
Each player can choose to either show heads (H) or tails (T) by flipping a penny. The payoff matrix for the game is as follows:
Player 2
H T
Player 1
H 1 -1
T -1 1
A Nash equilibrium is a strategy profile where no player can unilaterally change their strategy to obtain a higher payoff.
In the game of matching pennies, if Player 1 chooses heads, Player 2 would want to choose tails to maximize their payoff. Similarly, if Player 1 chooses tails, Player 2 would want to choose heads. This implies that Player 2 can't have a pure strategy Nash equilibrium since they would have an incentive to switch their strategy based on Player 1's choice.
However, in the game of matching pennies, there exists a mixed strategy Nash equilibrium. Both players can choose their strategies randomly with equal probabilities. For example, Player 1 can choose heads with a probability of 0.5 and tails with a probability of 0.5, while Player 2 can choose heads with a probability of 0.5 and tails with a probability of 0.5.
In this case, neither player has an incentive to change their strategy since the expected payoffs are the same regardless of the opponent's strategy. Thus, the mixed strategy Nash equilibrium is achieved when both players randomize their choices equally.
Therefore, the game of matching pennies has a mixed strategy Nash equilibrium.
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Please help me solve problem 2 and 3
Il perimetro di un rettangolo è 126 cm. La base è i tre quarti dell'altezza. Mi potreste dire come procedere?
Answer:
w = 36 cm
L = 27 cm
Step-by-step explanation:
I am translating and I see that perimeter of rectangle is 126 cm and the base (assuming Length) is (3/4) the height.
P = 2(l+w)
\(126=2((\frac{3}{4} w)+w)\)
Divide both sides by 2, so you get
(3/4)w+(4/4)w=(126/2)
(7w/4)=63
Multiply both sides by 4,
7w=252, then divide both side by 7,
w = 36, Width is 36 cm, so Length is (3/4), which is L = 27 cm
pls someone help i'm begging u this is so hard that like so many people failed to answer this.not lying actaully like 3 people tried and failed. and rememeber dont answer this if ur not smart enough.
What is the percent
increase from 70 to 77?
Percentage change = 10%
We can use the formula:
Percent change = \(\frac{New-Old}{Old}\) x 100
Percent change = \(\frac{77-70}{70}\)x100
Percent change = \(\frac{7}{70}\) x 100
Percent change = 0.1 x 100
Percent change = 10%
Answer: 53.9
Step-by-step explanation:
The director of the CO-Tech startup needs to decide what salaries to offer
its employees for the coming year. In order to keep the employees satisfied,
she needs to satisfy the following constraints:
Tom wants at least $20 000 or he will quit;
Peter, Nina, and Samir each want to be paid at least $5000 more than Tom;
Gary wants his salary to be at least as high as the combined salary of Tom and Peter;
Linda wants her salary to be $200 more than Gary;
the combined salary of Nina and Samir should be at least twice the
combined salary of Tom and Peter;
Bob’s salary is at least as high as that of Peter and at least as high as that of Samir;
the combined salary of Bob and Peter should be at least $60 000;
Linda should not make more money than the combined salary of Bob and Tom.
(b) Write an LP that will determine salaries for the employees of CO-tech that satisfy each of these constraints while minimizing the salary of the highest paid employee.
The linear program is as follows:
T - M ≤ -20,000
P - T ≤ -5,000
N - T ≤ -5,000
S - T ≤ -5,000
G - T - P ≤ 0
L - G ≤ -200
N + S - 2T - 2P ≤ 0
B - P ≤ 0
B - S ≤ 0
B + P ≤ 60,000
L - B - T ≤ 0
Let's define decision variables for each employee's salary as follows:
Let T, P, N, S, G, L, and B represent the salaries of Tom, Peter, Nina, Samir, Gary, Linda, and Bob, respectively.
Our objective is to minimize the salary of the highest paid employee. We can achieve this by introducing another variable, M, that represents the maximum salary among all employees. Therefore, our objective is to minimize M.
Minimize: M
Subject to:
T ≥ 20,000
P ≥ T + 5,000
N ≥ T + 5,000
S ≥ T + 5,000
G ≥ T + P
L ≥ G + 200
N + S ≥ 2(T + P)
B ≥ max(P, S)
B + P ≥ 60,000
L ≤ B + T
Now, we can write the linear program in standard form by moving all variables to the left-hand side of the constraints and adding slack variables:
Minimize: M
Subject to:
T - M ≤ -20,000
P - T ≤ -5,000
N - T ≤ -5,000
S - T ≤ -5,000
G - T - P ≤ 0
L - G ≤ -200
N + S - 2T - 2P ≤ 0
B - P ≤ 0
B - S ≤ 0
B + P ≤ 60,000
L - B - T ≤ 0
All variables are non-negative.
This linear program can be solved using a linear programming solver to find the minimum value of M that satisfies all the constraints. Once we have the optimal solution, we can retrieve the salaries of each employee from the linear program solution.
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Solve for x.
Thank you
The value of x is x=7.
What is a triangle?A triangle is a polygon with 3 sides.
Given, the measures of the interior angles of the triangle are 60°, 70°, and 6x+8.
Since the sum of the measures of the interior angles of a triangle is 180°, it follows:
60+ 70+ 6x+8 = 180
138 + 6x =180
6x = 180-138
6x = 42
x = 42/6
x = 7
Hence, the value of x is x=7.
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use suitable identities to find the following products (x+4)(x+10)
Answer:
\(x^2 + 14x + 40\)
Step-by-step explanation:
Here we gonna use the identity -
\((x+a)(x+b) = x^2+(a+b)x + ab\)
So using the identity here,
\((x+4)(x+10) \\=> x^2 +(4+10)x+4*10\\=>x^2+14x+40\)
Answer:
x²+14x+40 is correct answer
Step-by-step explanation:
(x+4)(x+10)
=x²+10x+4x+40
=x²+14x+40
hope it helped you:)
What is an exponent? Because i am confused
An exponent is a number written above and to the right side of a value or number in math. The value or number is called the base, and the expression is read out as;
"Base raised to the power of exponent."
An example is given below;
\(10^3\)In this example, 10 is the base and 3 is the EXPONENT.
The expression is now read out as,
"10 raised to the power of 3"
Note that even unknown values (such x as we commonly use in math) can also be an exponent or base. For example, we can have;
\(\begin{gathered} 10^x \\ OR \\ 2x^3 \end{gathered}\)So basically, an exponent indicates the number of times a number is used to multiply itself.
do the data provide convincing statistical evidence, at the level of , that the preferences are different between the two regions of the country? complete the appropriate inference procedure to support your answer.
The corresponding p-value for this test statistic is 0.005, which is smaller than our significance level of α=0.05.
To begin, we define the population proportion of people who shop for groceries online in region A as p₁ and the population proportion of people who shop for groceries online in region B as p₂.
Our null hypothesis is that there is no difference in these proportions, which we can write as H0=> p₁ = p₂. Our alternative hypothesis is that there is a difference, which we can write as H1=> p₁ ≠ p₂.
Next, we need to calculate the sample proportions and standard errors for each region. We can do this using the formulas:
p₁ = x₁/n₁, p₂ = x₂/n₂
where x₁ and x₂ are the number of people in each sample who shop for groceries online, and n₁ and n₂ are the sample sizes. The standard errors are given by:
=> SE₁ = √(p₁(1-p₁)/n₁),
=> SE₂ = √(p₂(1-p₂)/n₂)
Using the given data, we find that p₁ = 0.16, p₂ = 0.24, SE₁ = 0.037 and SE₂ = 0.042.
We can now calculate the test statistic, which measures the difference between the sample proportions under the assumption that the null hypothesis is true. We use the formula:
z = (p₁ - p₂) / √(SE₁² + SE₂²)
Substituting the values we calculated, we get:
z = (0.16 - 0.24) / √(0.037² + 0.042²) = -2.83
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Complete Question:
A random sample of 100 people from region A and a random sample of 100 people from region B were surveyed about their grocery-shopping habits. From the region A sample, 16 percent of the people indicated that they shop for groceries online. From the region B sample, 24 percent of the people indicated that they shop for groceries online. At the significance level of α=0.05, do the data provide convincing statistical evidence that there is a difference between the two regions for the population proportions of people who shop online for groceries? Complete the appropriate inference procedure to support your answer.
Find x in the following figure
Answer:
In which figure we have to find x