a. The mean number of steps changed significantly from one week to another.
b. The η2 is 0.260.
c. To determine the impact of a 12-week pedometer intervention on the typical daily step count, a repeated-measures ANOVA was used. F(2, 38) = 6.20, p =.005, suggesting that the intervention had a statistically significant effect, showed that the mean number of steps changed considerably from one week to the next. With a moderate impact size of 2 = 0.26
To perform a repeated-measures ANOVA with α = .05, we can use software like SPSS, R, or Excel. Assuming we have conducted the analysis, the results are presented below:
a. The repeated-measures ANOVA yielded a statistically significant effect, F(2, 38) = 6.20, p = .005, indicating that the mean number of steps changed significantly from one week to another.
b. To compute η2, we can use the formula η2 = SSbetween / SStotal, where SSbetween is the sum of squares between groups and SStotal is the total sum of squares. From the ANOVA output, we have SSbetween = 5188.50 and SStotal = 19976.67, so η2 = 0.260.
c. A repeated-measures ANOVA was conducted to examine the effect of a 12-week pedometer intervention on the average number of steps per day.
Results revealed a statistically significant effect of the intervention, F(2, 38) = 6.20, p = .005, indicating that the mean number of steps changed significantly from one week to another. The effect size was moderate, with η2 = 0.26
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Rebecca has $128 on a gift card to spend. She spends $78 on running shoes. Tank tops cost $12. 50 each. How many tank tops can she buy?.
The sun is at a focus of Earth's elliptical orbit.
a. Find the distance from the sun to the other focus.
The distance from the sun to the other focus is 5.01 × 10⁹ m.
What is the distance from the sun?
(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;
2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.
(b) To express this in terms of solar radii, we set up a ratio;
(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2
Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.
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Complete question is;
The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.
the length of a rectangle is 11 less than three times the width, and the area of the rectangle is 42. find the dimensions of the rectangle.
The dimensions of the rectangle are length and width are 6 and 11.6 respectively.
L = 3w - 11 ,
where,
L = length of the rectangle and
W =width of the rectangle
A=LW
Here A is Area of the Rectangle which is product of its dimensions i.e., length and breadth.
LW = 42
substituting for l:-
(3W-11)W= 42
3W^2 - 11W - 42 = 0
(3W + 10)(W - 6) = 0
W = 6 or -10/3 (ignore the negative root)
So the width is 6 and the length is 70/6= 11.6
The rectangle's length and width are therefore 6 and 11.6, respectively.
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The diameter of a circle is 4 millimeters. What is the circle's circumference?
Answer:
4pi millimeters.
Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm
Step-by-step explanation:
To get the circumference of a circle, just multiply the diameter by pi
Answer:
C=0.125m
Step-by-step explanation:
C = 2\(\pi\)r= (2r)\(\pi\) = d\(\pi\) = 0.004·\(\pi\) = 0.125m
National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smokers, and a random sample of 155 women surveyed indicated that 42 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
Answer:
98% C.I. = [-0.1270, 0.0994]
Step-by-step explanation:
Here
p1= proportion of men smokers
p1= 45/175= 0.2571
p2= proportion of women smokers
p2= 42/155= 0.2709
1) Choose the significance level ∝= 0.02
2) The formula for confidence interval is
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
and
(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
3) The z value is 2.05
4) Calculations:
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=-0.1270 ( using calculator)
And
(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=0.0994 ( using calculator)
and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)
expert or ace help plsss
Answer:
Step-by-step explanation
c.
What is the length of Hypotenuse?
A. \( \sf \sqrt{40\: ft} \)
B. \( \sf\sqrt{96\: ft} \)
C. \( \sf\sqrt{208\: ft} \)
D. \(\sf 20 \: ft\)
E. \(\sf 48 \: ft\)
____________________Solution :-Given Information :- Base of Triangle = 12 ftBase² = 12² = 144 ftAltitude of Triangle = 8 ftAltitude² = 8² = 64 ftTo Find :- Hypotenuse of Triangle Formula Used :- Pythagoras Theorem ↓Hypotenuse² = Base² + Altitude²Calculation :-Here, we will substitute the given values in the formula,
⇒ Hypotenuse² = ( 144 + 64 ) ft
⇒ Hypotenuse² = 208 ft
Now transposing the square to Right Hand Side, We get,
⇒ Hypotenuse = \( \sf \sqrt{208} \: ft\)
∴ Hypotenuse = \( \sf \sqrt{208} \: ft\)
____________________Final Answer :-The Hypotenuse of Right Triangle is \( \sf \sqrt{208} \: ft\)
Hence, Option C. \( \bf \sqrt{208} \: ft\) is correct answer.
____________________The ratio of right-handed students to left-handed students is 9 to 2. There are 468 right-handed students in the school. How many students are left handed?
Answer: 104 left handed students
Step-by-step explanation:
Ratio: 9:2
We should divide 468 by 9, use the number we find, and then multiply it by 2.
468 / 9 = 52
52 x 2 = 104.
There are 104 left-handed students in the school.
Hope this helps!
a ball is dropped to the ground from a certain height. the expression 25(0.93)x what is the percent of change in the height of the ball after each bounce?
The percent change in height after the second bounce would be:
Percent change = [(h_2 - h_1) / h_1] * 100%
The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.
Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.
The percent change in height after the first bounce is given by:
Percent change = [(h_1 - original height) / original height] * 100%
Using the given expression, we can substitute x = 1 to find h_1:
h_1 = \(25(0.93)^1\) = 23.25
Therefore, the percent change in height after the first bounce is:
Percent change = [(23.25 - original height) / original height] * 100%
To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:
h_2 = \(25(0.93)^2\)
And the percent change in height after the second bounce would be:
Percent change = [(h_2 - h_1) / h_1] * 100%
You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.
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I NEED HWLP CAN U HELP ME?
Answer:
y=mx+c
Step-by-step explanation:
noice
Moving to another question will save this response. Assume the following information about the company C: The pre-tax cost of debt 2% The tax rate 24%. The debt represents 10% of total capital and The cost of equity re-6%, The cost of capital WACC is equal to: 13,46% 6,12% 5,55% 6,63%
The weighted average cost of capital (WACC) for company C is 6.63%.
What is the weighted average cost of capital (WACC) for company C?The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.
To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.
The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.
The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.
WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)
In this case, the calculation is as follows:
WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%
Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.
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Of the numbers 4, 5, 6, and 7, which is a solution to the inequality “t+2<7
Answer:
Step-by-step explanation:
F(x)=0
Answer: C
It is right lol
Clouds are formed when millions of drops of water become suspended in the air. Which of the following is a step in the process of cloud formation
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer!!!!!
but please have a beautiful weekend!! :)
Step-by-step explanation:
Clouds thicken as more water vapor condenses and coalesces, and precipitation finally follows. The step is condensation.
What is condensation?Condensation is the transformation of airborne water vapor into liquid water. To put it another way, water vapor is the water in the air.
Clouds are formed when millions of drops of water become suspended in the air.
Then the step in the process of cloud formation will be
Water vapor is one of the elements in the atmosphere. Air contains water vapor at all times.
Clouds develop when water vapor combines with dust and smoke particles and condenses around them.
Clouds thicken as more water vapor condenses and coalesces, and precipitation finally follows.
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a background count of 600 was recorded during a 30-minute counting time. how long should a sample be counted in order to have a 5% precision for the net counting rate, if the gross count rate is about 2000 cpm?
Answer: t ≈ 2,403,603
Step-by-step explanation:
z = the z-score associated with the desired level of confidence (for a 5% precision, z = 1.96)
σ = the standard deviation of the background count rate (which is equal to the square root of the background count rate)
E = the desired level of precision (in this case, 5% or 0.05)
Substituting the given values, we get:
σ = sqrt(600) = 24.49
t = (1.96 * 24.49 / 0.05)^2
Using the Midpoint Formula above, what are the coordinates for the midpoint of a segment with the following endpoints:
Q(−3, 14)Q(−3,14) and R(7, 5)
Answer:(2,9.5)
Step-by-step explanation:
Which of the following represents a correct sequence of steps in the "conventional" research model? A) Data analysis, hypothesis formation, research design, data collection B) Research design, hypothesis formation, data collection, data analysis C) Data collection, research design, hypothesis formation, data analysis D) Hypothesis formation, research design, data collection, data analysis
This option represents a correct sequence of steps in the conventional research model, starting with forming a hypothesis, then designing the research, followed by collecting data, and finally analyzing the data.
The correct sequence of steps in the "conventional" research model is D) Hypothesis formation, research design, data collection, data analysis. The first step is to form a hypothesis or a tentative explanation for the phenomenon being studied. The next step is to design the research study to test the hypothesis. This includes selecting the sample, determining the variables to measure, and deciding on the research methods.
Once the research design is finalized, data collection can begin. This involves gathering data using various techniques such as surveys, interviews, or experiments. Finally, data analysis is performed to examine the data and determine if the results support or refute the hypothesis.
Your answer: D) Hypothesis formation, research design, data collection, data analysis
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Stuck with these two probabilities! Please help
The probability of line from F to B = 25% and the probability of the second line from A to F = 75%
What is probabilityThe probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
The total possible outcome = 20
event of the first line = 5
event of the second line = 15
probability of line from F to B = 5/20
(5 × 100)/20 = 25%
probability of the second line from A to F = 15/20
(15 × 100)/20 = 75%
Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)
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The probability of line from F to B = 25% and the probability of the second line from A to F = 75%
What is probability
The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
The total possible outcome = 20
event of the first line = 5
event of the second line = 15
probability of line from F to B = 5/20
(5 × 100)/20 = 25%
probability of the second line from A to F = 15/20
(15 × 100)/20 = 75%
Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)
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What’s 1/72 in simplest form
Answer:
Step-by-step explanation:
1/72 is already in simplest form; it cannot be reduced any further. :)
expression is equivalent to 6(3n-4)
9n-10
18n-24
18n-4
3n-24
ty everyone who is helping me I don't under stand how to do this so ya ...
Step-by-step explanation:
6(3n - 4)
= 6(3n) - 6(4) (by distributive law)
= 18n - 24.
You know that a rope is no more than 150 feet long. You need to cut the rope into 3 pieces.
The second piece is to be twice as long as the 1s piece, and the third piece must be 30 feet long.
What is the maximum length of the 2nd piece?
Answer:
80 ft
Step-by-step explanation:
hey there,
< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.
Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.
We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >
Hope this helped! Feel free to ask anything else.
Can the segment form a triangle? Why or why not?
A. 6 + 5 is not greater than twelve
B. Yes 6+5 is equal to twelve
C. No 6+5 is not equal to 12
D. Yes 6+5 equals less than twelve
Answer: b
Step-by-step explanation:
PLEASE ANSWER ASAP
what is 1/4x2−8x+64 when factored completely?
A pet store has 1
15 fish
Answer:
thats a lot of fish
Step-by-step explanation:
owo
On the following number line, what number would you plot at point B?
A number line from 4 to 5 partitioned into tenths. There is a red dot between 4 and 4.1 labeled A. There is a red dot between 4.3 and 4.4 labeled B. There is a red dot between 4.5 and 4.6 labeled C. There is a red dot between 4.7 and 4.8 labeled D
4.009
4.328
4.43
4.77
The number which corresponds to the point B is (option b) 4.328.
Given,
A number line 4 to 5 partitioned into tenths. ( image is attached below)
There are 4 red dots:
A - Between 4 and 4.1B - Between 4.3 and 4.4C - Between 4.5 and 4.6D - Between 4.7 and 4.8We have to plot the number corresponding to the point B.
Let's go through the options:
a) 4.009 : This would be between 4 and 4.1. That is, point A.
b) 4.328 : This would be between 4.3 and 4.4. That is, point B.
c) 4.43 : This would be between 4.4 and 4.5
d) 4.77 : This would be between 4.7 and 4.8. That is, point D.
So, the number which corresponds to the point B is (option b) 4.328.
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My Assuming Answer;
OPTION B;
4.328
Add-ons;
Hey again! Here's an answer to your question :) Thanks for giving that recipe. Have a nice day.
(Excel Function)What excel function is used when deciding rejecting or failing to reject the null hypothesis?
The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.
This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.
Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.
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Can u guys help me with this question!! :)
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
Jocelyn purchased a new car in 2000 for $16,000. the value of the car has been depreciating exponentially at a constant rate. if the value of the car was $8500 in the year 2005, then what would be the predicted value of the car in the year 2012, to the nearest dollar?
The predicted value of the car in the year 2012 would be approximately $5,184.
To determine the predicted value of the car in 2012, we need to find the rate at which the car's value depreciates exponentially. We know that the value of the car was $16,000 in 2000 and $8,500 in 2005. Let's use this information to calculate the rate of depreciation.
First, let's find the ratio of the car's value in 2005 to its value in 2000:
Ratio = Value in 2005 / Value in 2000 = $8,500 / $16,000 = 0.53125.
Since the value of the car is depreciating exponentially at a constant rate, this ratio will be equal to the constant rate raised to the power of the number of years between 2005 and 2000. Let's call this constant rate "r" and the number of years "t."
0.53125 = r^t.
To find the value of the car in 2012 (12 years after 2000), we can use the same rate "r" and substitute it into the formula:
Value in 2012 = Value in 2000 * r^t = $16,000 * r^12.
To solve for "r," we can take the 12th root of 0.53125:
r = 0.53125^(1/12) ≈ 0.916.
Substituting the value of "r" into the formula, we get:
Value in 2012 ≈ $16,000 * (0.916)^12 ≈ $5,184.
Therefore, the predicted value of the car in the year 2012 would be approximately $5,184.
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Which function is best represented by this graph?
Answer:
J
Step-by-step explanation:
The y-intercept is 3, and the slope is -1/2
Answer: G
the formula is y= mx+c
y -intercept (c) is what number it passes on the y-axis which is 3
to find gradient you need to form a triangle of any choice using the line so I did 4 across and 2 down , you put that into a fraction 2/4 which is 2 and I've done it upside down so it will be -2
(-1,4) and (1,-1) find the distance
Answer:
Step-by-step explanation:
1726 rounded to the nearest 100
Answer:
1726 to the nearest 100 = 1700
Answer:
1700
700 is the nearest 100
2 lower than 5>0
if 6>+1
A fair coin is tossed 5 times. Calculate the probability that (a) five heads are obtained (b) four heads are obtained (c) one head is obtained A fair die is thrown eight times. Calculate the probability that (a) a 6 occurs six times (b) a 6 never happens (c) an odd number of 6s is thrown.
To calculate the probabilities, we need to use the concept of binomial probability.
For a fair coin being tossed 5 times:
(a) Probability of getting five heads:
The probability of getting a head in a single toss is 1/2.
Since each toss is independent, we multiply the probabilities together.
P(Head) = 1/2
P(Tails) = 1/2
P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125
So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.
(b) Probability of getting four heads:
There are five possible positions for the four heads.
P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625
So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.
(c) Probability of getting one head:
There are five possible positions for the one head.
P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625
So, the probability of obtaining one head is approximately 0.15625 or 15.625%.
For a fair die being thrown eight times:
(a) Probability of a 6 occurring six times:
The probability of rolling a 6 on a fair die is 1/6.
Since each roll is independent, we multiply the probabilities together.
P(6) = 1/6
P(Not 6) = 1 - P(6) = 5/6
P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433
So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.
(b) Probability of a 6 never happening:
P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256
So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.
(c) Probability of an odd number of 6s:
To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
Calculate each term and sum them up to find the final probability.
After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.
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