Based on study, it appears that mind-set does matter for maids in terms of weight loss - simply thinking they are exercising more may have led to greater weight loss in the informed group.
To determine whether mind-set matters in terms of weight loss for the maids, we need to conduct a hypothesis test.
Null Hypothesis: The average weight loss for the informed group of maids is equal to the average weight loss for the uninformed group of maids.
Alternative Hypothesis: The average weight loss for the informed group of maids is greater than the average weight loss for the uninformed group of maids.
We can use a one-sided t-test to test this hypothesis, since we are interested in whether the informed group lost more weight than the uninformed group.
Using the data provided, we can calculate the sample mean and standard deviation for each group:
Informed group:
Sample size (n) = 44
Sample mean = 2.00 lbs
Sample standard deviation = 2.50 lbs
Uninformed group:
Sample size (n) = 76
Sample mean = 1.33 lbs
Sample standard deviation = 2.31 lbs
We can use a t-test with unequal variances (since the sample standard deviations are different) to test the hypothesis. Using a significance level of 0.05 and a one-tailed test, the critical t-value is 1.67 (from a t-distribution with 118 degrees of freedom).
The calculated t-value is: t = (2.00 - 1.33) / sqrt((2.50^2/44) + (2.31^2/76)) = 1.80
Since the calculated t-value (1.80) is greater than the critical t-value (1.67), we reject the null hypothesis and conclude that there is evidence that the informed group of maids lost more weight than the uninformed group of maids.
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do you need a common denominator to divide fractions
Answer:
No
Step-by-step explanation:
To divide fractions you need to do the reciprocal of the 2nd fraction and them multiply.
Eg. \(\frac{1}{3}\) ÷ \(\frac{2}{4}\)
This is the same thing as \(\frac{1}{3}\) ×\(\frac{4}{2}\)
Which equals \(\frac{4}{6}\) and if simplified, it will be \(\frac{2}{3}\)
So you don't need a common denominator to divide, you have to use the method showed above.
The superintendent of a large school district wants to estimate the percent of district residents who support the building of a new middle school. To gather data, the superintendent will select a random sample of district residents.Which of the following is the most appropriate method for creating such an estimate? *
i. A one-sample z -interval for a sample proportion
ii. A two-sample z -interval for a difference between population proportions
iii. A two-sample z -interval for a population proportion
iv. A one-sample z -interval for a difference between population proportions
v. A one-sample z -interval for a population proportion
The most appropriate method for creating an estimate of the percent of district residents who support the building of a new middle school would be v. A one-sample z-interval for a population proportion.
In this case, the superintendent wants to estimate the proportion (percentage) of district residents who support the building of a new middle school. To achieve this, a random sample of district residents can be selected, and the proportion of residents in the sample who support the new middle school can be calculated.
Since the sample size is relatively large (as it is a large school district), the sampling distribution can be assumed to follow a normal distribution. Therefore, a one-sample z-interval for a population proportion is suitable for estimating the proportion of district residents who support the new middle school.
Using this method, a confidence interval can be constructed around the sample proportion, providing an estimate of the true proportion of district residents who support the new middle school, along with a measure of uncertainty.
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Please please help me with this. Matrices is so difficult.
Find -0.5D
D=[18. 16]
[-14 -6]
Options are:
A. [9 8]
[-14 -6]
B. [9 8]
[7 3]
C. [9. 8]
[-7 -3]
D. [-9 -8]
[7 3]
Answer:
Choice D.
Step-by-step explanation:
D=[18. 16]
[-14 -6]
-0.5D = [-0.5(18) -0.5(16)]
[-0.5(-14) -0.5(-6)]
-0.5D = [ -9 -8]
[ 7 3]
Taye wants to find 352+116. Show how he can use place value to find the sum
Answer:
Step-by-step explanation:
well if you 6+2 is 8 that is the one's place then 50+10 is 60 that is the tens place then 300+100 is 400 that is the hundreds place and add 400+60+8 is 468
You Welcome
A bag contains tiles. 3 tiles of red, 6 tiles of green, 3 tiles are blue. A tile will be randomly selected from the bag. What is the probability In decimal form from the tile will be green?
Answer:
The probability is 0.5 tiles will be green
Step-by-step explanation:
Hope this helps
How tall is a stack of 10 chairs?
5 chairs are 51 inches
3 chairs are 45 inches
8 chairs are 60 inches
Answer:
10 chairs are 102 inches
Step-by-step explanation:
Beacause 5 chairs are 51 so the double of chairs will be 102 inches
What is the 18th term of the arithmetic sequence -13, -9, -5, -1, 3,...? A. A(18) = 55 B. A(18) = 59 C. A(18) = -81 D. A(18) = -153
The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55
Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.
The specific number in the arithmetic progression is calculated by
\(a_n=a_1+(n-1)d\)
where \(a_n\) is the term in arithmetic progression at the nth term
\(a_1\) is the initial term in the arithmetic progression
d is the difference between two consecutive terms
In the given question, \(a_1\) = -13
d = -9 - (-13) = 4
Therefore, to calculate the 18th term,
\(a_{13}=a_1+(18-1)d\)
= -13 + (17) 4
= -13 + 68
= 55
Hence, the 18th term of the above AP is 55
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failure to include some units, or entire sections, of the defined survey population in the actual operational sampling frame represents:
Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.
One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.
Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.
The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.
Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.
Sampling errors can be decreased by increasing the sample size.
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PLEASE HELP!! I NEED THIS DONE BY TOMORROW!
The temperature at a given chirp rate can be determined from a linear regression model as follows;
a. The linear regression model is; T = 4.1484·C - 166.1
b. At 72 °F the chirp rate is approximately 57 chirps per minute
At 90 °F the chirp rate is approximately 62 chirps per minute
What is a linear regression model?A linear regression model, models a relationship between variables using a linear approach
a. The data given the values of the temperatures at a given chirp rate per minute is used to create the attached scatter plot.
From the scatter plot, a trend line is drawn using the Add Chart Element, within the Chart Tools, Design Menu.
From the Format Trendline window, The Display Equation on chart check box is selected, to show the trend line equation.
The trendline equation that is the linear regression model for chirp rate as a function of time is; y = 4.1484·x - 166.1
Where, y = T, and x = C, we have; T = 4.1484·C - 166.1
b. If the temperature, T, is 72 °F, we have;
T = 72 °F
72 = 4.1484·C - 166.1
\(C = \dfrac{72+166.1}{4.1484} \approx 57\)
The predicted chirp rate of the cricket if the temperature is 72 °F is approximately 57 chirps per minuteIf the temperature is 90 °F, the chirp rate is calculated as follows;
T = 90 = 4.1484·C - 166.1
\(C = \dfrac{90+166.1}{4.1484} \approx 62\)
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Subtract - 7x2 + 1 from – 2x2 - 4x.
Answer:
11-4x
Step-by-step explanation:
A marine biologist is setting up a net 6 feet below the surface of the water. each foot of the water screens out 40% of the light coming from the surface. which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent? 0.4% 1.0% 4.7% 7.8%
The approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%
How is the percentage of light remaining at a depth of 6 feet calculated?The percentage of light remaining is calculated from the percentage of light remaining after a depth of one foot each.
Percentage of light remaining after 1 feet = 100 - 40% = 60%.
Percentage of light remaining after 6 feet = 60% × 60% × 60% × 60% × 60% × 60% = 4.7%
Therefore, the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent is 4.7%.
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question number 2 answer asap please
Answer:
The ordered pair that is the solution to the system lies in Quadrant IV
The x-coordinate of the solution is 9
The y-coordinate of the solution is -8
Step-by-step explanation:
use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ−1 8s − 16 (s2 s)(s2 1)
The inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:
\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)
To find the inverse Laplace transform of ℒ−1 8s − 16 (s2 s)(s2 1), we can first simplify the expression:
\(8s - 16 (s^2 + 1)(s^2 + s)= 8s - 16 (s^4 + s^3 + s^2 + s)= -16s^4 - 16s^3 + 8s^2 - 16s\)
We can then use partial fraction decomposition to write this expression as a sum of simpler fractions:
\(-16s^4 - 16s^3 + 8s^2 - 16s = (-4s^2 + 4s - 4)/(s + 1) + (-4s^2 - 8s)/(s^2 + 1) + (-4s)/(s^2 + 1)\)
To find the inverse Laplace transform of each term, we can use theorem
\(L^-1 (-4s^2 + 4s - 4)/(s + 1) = -4L^-1 (s + 1) + 4ℒ^-1 1 = -4(e^-t - 1)\\L^-1 (-4s^2 - 8s)/(s^2 + 1) = -4L^-1 (s + 2i)/(s^2 + 1) = -4e^(-t) sin(t)\\ℒ^-1 (-4s)/(s^2 + 1) = -4ℒ^-1 (s/(s^2 + 1)) = -4cos(t)\)
Therefore, the inverse Laplace transform of ℒ^-1 8s - 16 (s^2 + s)(s^2 + 1) is:
\(-4(e^-t - 1) - 4e^(-t) sin(t) - 4cos(t)\)
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Simple math! Please help!!!!
\( c.\:{x}^{ - 4} \)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
\( \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} \)
Note:-
\( {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} \)
\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)
By about how much will g(x,y,z)=2x+xcosz−ysinz+y change it the point P(x,y) moves from P0(1,−2,0) a dotance of ds =0.3 unit towatd the point P1(−1,0,2) ? dg the (Type an integer or decimal rounded to four decimal places as needed.)
The function g(x,y,z) will change by approximately -2.2440 as the point P(x,y) moves 0.3 units towards P₁(-1,0,2).
To determine the change in the function g(x,y,z), we first calculate the gradient of g(x,y,z) with respect to x, y, and z. Taking the partial derivatives, we have ∂g/∂x = 2 + cos(z), ∂g/∂y = -sin(z), and ∂g/∂z = -xsin(z) - ycos(z).
Next, we find the direction vector from P₀(1,-2,0) to P₁(-1,0,2) by subtracting the coordinates of P₀ from P₁, resulting in (-2, 2, 2). We normalize this vector to obtain the unit direction vector.
Using the directional derivative formula, we compute dg = (∂g/∂x, ∂g/∂y, ∂g/∂z) · (direction vector) = (2 + cos(z))(-2) + (-sin(z))(2) + (-xsin(z) - ycos(z))(2).
By plugging in the values from P₀ and P₁ into the above equation and evaluating the expression, we find dg ≈ -2.2440. This indicates that g(x,y,z) will change by approximately -2.2440 as the point P(x,y) moves 0.3 units towards P₁(-1,0,2).
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A truck with 18 wheels has a tire radius of 21 in. and a profile, or tire width, of 12 in. If 20% of the tire is making contact with the ground, what is the total surface area of the tires that is making contact with the ground at any one time? Leave your answer in terms of ππ
Surface Area is
ππ square inches.
The total surface area of the tires making contact with the ground at any one time for the truck with 18 wheels, tire radius of 21 in, tire width of 12 in, and 20% contact area is approximately 5700.24 square inches.
The surface area of one tire making contact with the ground can be calculated as follows:
The diameter of the tire is 2 * radius = 2 * 21 in = 42 in
The length of the portion of the tire making contact with the ground is 20% of the circumference of the tire = 0.2 * π * 42 in ≈ 26.39 in
The width of the tire making contact with the ground is given as 12 in
Therefore, the surface area of one tire making contact with the ground is approximately 26.39 in * 12 in = 316.68 square inches
Since the truck has 18 wheels, the total surface area of all the tires making contact with the ground at any one time is 18 * 316.68 square inches = 5700.24 square inches.
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Three different equations that have x=5 as a solution
Answer:
The easiest ways to do this is to add, subtract, multiply, or devide 5 from a number, do that operation to x, and set that number as the equivelent.
For example
3 * 5=15
so
3x=15
Mike is visiting the worlds tallest statue His angle of elevation from his line of sight to the top of the statue is 11°. If mike is 5 ft tall and the statue is 420ft tall, what is the distance from Mikes eyesight to the top of the statue Round your answer to the nearest whole number.
Rounding to the nearest whole number, the distance from Mike's eyesight to the top of the statue is approximately 27 ft.
To find the distance from Mike's line of sight to the top of the statue, we can use trigonometry and the concept of similar triangles. Let's assume the distance from Mike's eyesight to the top of the statue is represented by 'd'. We have two right triangles:
Triangle 1: Mike's triangle
Angle of elevation: 11°
Opposite side: Mike's height = 5 ft
Adjacent side: Distance from Mike's eyesight to the statue = d ft
Triangle 2: Statue triangle
Angle of elevation: 90°
Opposite side: Statue height = 420 ft
Adjacent side: Distance from Mike's eyesight to the statue = d ft
We can use the tangent function to set up the equation:
tan(11°) = (Mike's height) / (Distance from Mike's eyesight to the statue)
tan(11°) = 5 / d
To find d, we can rearrange the equation:
d = 5 / tan(11°)
Using a calculator, the value of d is approximately 27.48 ft.
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URGENT PLEASE convert y = -5/6x -9 to standard slope form
Answer:
6y + 5x = -54
Step-by-step explanation:
y = m x + b -> slope-intercept form
ax + by = c -> standard form
\(y = - \frac{5}{6} x - 9\)
6y = -5x - 54
6y + 5x = -54
given an=-6n+5 find term 17 in the arthimetic sequence
Answer:
107
Step-by-step explanation:
Look at the graph, how many factors would it have?
Here is some info that might help
-2 factors is a hint
+0 +2 +4 is a fractor of 4/1
if not 41
This is your lucky day. You have just won a $20,000 prize. You are setting aside $8,000 for taxes and partying expenses, but you have decided to invest the other $12,000. Upon hearing this news, two different friends have offered you an opportunity to become a partner in two different entrepreneurial ventures, one planned by each friend. In both cases, this investment would involve expending some of your time next summer as well as putting up cash. Becoming a full partner in the first friend’s venture would require an investment of $10,000 and 400 hours, and your estimated profit (ignoring the value of your time) would be $9,000. The corresponding figures for the second friend’s venture are $8,000 and 500 hours, with an estimated profit to you of $9,000. However, both friends are flexible and would allow you to come in at any fraction of a full partnership you would like. If you choose a fraction of a full partnership, all the above figures given for a full partnership (money investment, time investment, and your profit) would be multiplied by this same fraction.
Because you were looking for an interesting summer job anyway (maximum of 600 hours), you have decided to participate in one or both friends’ ventures in whichever combination would maximize your total estimated profit. You now need to solve the problem of finding the best combination.
(a) Describe the analogy between this problem and the Wyndor Glass Co. problem discussed in Sec. 3.1. Then construct and fill in a table like Table 3.1 for this problem, identifying both the activities and the resources.
(b) Formulate a linear programming model for this problem.
(c) Use the graphical method to solve this model. What is your total estimated profit?
Answer:
3
Step-by-step explanation:
what is the minimum product of sums
The minimum product of sums is a term used in digital logic and Boolean algebra to describe a method of simplifying logic circuits.
It is a way of minimizing the number of logic gates required to implement a certain function.
The minimum product of sums (also known as the minimum sum of products) involves representing a given Boolean function as the sum of its minterms (the minimum number of product terms required to represent the function).
The goal is to find a representation with the minimum number of product terms, which will result in the minimum number of logic gates and the most efficient implementation of the circuit.
This method involves using Boolean algebra to simplify the function, applying rules such as the distributive law, the idempotent law, and De Morgan's laws to minimize the number of terms.
The final result is a simplified Boolean expression that can be used to design a circuit with the minimum number of gates.
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if a right angle triangle has one side with 3cm and the other with 4cm how do i get the last side
Answer:
5cm
Step-by-step explanation:
It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.
When should you use the distributive property?
The distributive property is used when you have a value multiplied by 2 values separated by an operation.
For example, if you have x (y + z), then you would use the distributive property to get x (y + z) = xy + xz.
If 12 out of 30 fruits are oranges, how many oranges fruits will there be per 100 fruits total?
Answer:
40 oranges are there in 100 fruites.
Two risky gambles were proposed at the beginning of chapter 14: Game 1: Win $30 with probability of 0.5 Lose $1 with probability of 0.5 Game 2: Win $2000 with probability of 0.5 Lose $1900 with probability of 0.5 How much would you pay (or have to be paid) to take part in either game
The expected value for Game 1 is $14.50, you would be willing to pay up to $14.50 to participate in the game. For Game 2, with an expected value of $50, you would be willing to pay up to $50 to participate in the game.
To determine how much you would pay or have to be paid to take part in either Game 1 or Game 2, we need to calculate the expected value of each game. The expected value is the average outcome of the game if it were played many times, and it's calculated using the probabilities and potential winnings or losses.
For Game 1, the expected value (EV1) can be calculated as follows:
EV1 = (Win amount x Probability of winning) + (Loss amount x Probability of losing)
EV1 = ($30 x 0.5) + (-$1 x 0.5)
EV1 = $15 + (-$0.50)
EV1 = $14.50
For Game 2, the expected value (EV2) can be calculated similarly:
EV2 = (Win amount x Probability of winning) + (Loss amount x Probability of losing)
EV2 = ($2000 x 0.5) + (-$1900 x 0.5)
EV2 = $1000 + (-$950)
EV2 = $50
Now that we have the expected values, we can determine how much to pay or be paid to take part in each game. Since the expected value for Game 1 is $14.50, you would be willing to pay up to $14.50 to participate in the game. For Game 2, with an expected value of $50, you would be willing to pay up to $50 to participate in the game.
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Determine if 8.5 represents a solution to the inequality 2x + 3 > 5
yes it is a solution
no it is not a solution
Answer: yes it is a solution
Step-by-step explanation: 2x+3>5 -> x>1
Which sequence is geometric?
•1, 5, 9, 13
•2, 6, 8, 10
•5, 7, 9, 11
•4, 8, 16, 32
Answer:
1,
Step-by-step explanation:
now z also a dk4k ak4 smka 4ml 4 LL
Write each percent as a fraction and as a decimal to the nearest hundredth.
1. 42%
2. 35%
3. 18%
4. 100%
Write each decimal or fraction as a percent
5. 0.03
6. 0.92
7. 2/5
8. 23/25