in the solid phase the molecules or atoms are very closely packed as a result of weak molecule bonds true or false ?

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

Know more about 99% confident here:

https://brainly.com/question/30762304

#SPJ11

Therefore, the cat food will feed Sally's 3 cats for 16 days.

A fraction is a way of representing a part of a whole or a ratio between two numbers. It is written as a numerical quantity represented as a numerator and a denominator separated by a horizontal line or slash. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts in the whole or in the group being considered.

Here,

Each cat eats 1/4 of a tin of cat food per day, so the total amount of cat food needed per day for all 3 cats is:

3 x 1/4 = 3/4

This means that Sally needs 3/4 of a tin of cat food per day to feed all 3 cats. If she buys 12 tins of cat food, this will last:

12 / (3/4) = 12 x 4/3

= 16 days

To know more about fraction,

https://brainly.com/question/16121763

#SPJ1

Answer:

d = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

d/2 = 6

Step 2: Solve for d

The least number of hours Jose can work and still afford the bike is 6 hours.

To determine the least number of hours Jose needs to work, we can use the given inequality: 20h + 104 ≥ 224.

1. Start with the given inequality: 20h + 104 ≥ 224.

2. Subtract 104 from both sides of the inequality to isolate the term with the variable: 20h ≥ 120.

3. Divide both sides of the inequality by 20 to solve for h: h ≥ 6.

4. The result, h ≥ 6, means that Jose needs to work at least 6 hours to afford the bike.

5. If Jose works for 6 hours, he will earn 6 hours × $20 per hour = $120.

6. Adding his current savings of $104 to his earnings, he will have a total of $120 + $104 = $224, which is enough to afford the bike.

7. Therefore, working for at least 6 hours will allow Jose to afford the bike.

In summary, by solving the inequality and determining that h ≥ 6, we find that the least number of hours Jose needs to work to afford the bike is 6 hours.

To learn more about inequality, click here: brainly.com/question/17448505

#SPJ11

The principle that the coefficient of correlation is invariant with respect to the change of scale and the change of origin is a fundamental concept in statistics. It states that the value of the correlation coefficient remains unchanged when the scale or origin of the data is transformed.

To understand this principle, let's first define what the coefficient of correlation is. The coefficient of correlation, often denoted as r, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

The correlation coefficient between X' and Y will be the same as the correlation coefficient between X and Y. This is because scaling both variables by the same factor does not alter their relative positions or the strength of their linear relationship.

Similarly, if we apply a change of origin to either variable by adding or subtracting a constant value from each data point, it also does not affect the correlation between X and Y. The correlation coefficient remains unchanged.

The correlation coefficient between X' and Y will be the same as the correlation coefficient between X and Y. This is because shifting both variables by the same constant does not change their relative positions or the strength of their linear relationship.

The principle that the coefficient of correlation is invariant with respect to the change of scale and the change of origin holds true because correlation measures the linear relationship between variables rather than their absolute values or positions. It focuses on the pattern of association between variables rather than their specific numerical values.

In conclusion, scaling or shifting the variables by a constant factor or value does not alter their linear relationship. This principle is fundamental in statistical analysis and allows for meaningful comparisons and interpretations of correlation coefficients.

To know more about coefficient of correlation refer here:

https://brainly.com/question/29978658#

#SPJ11

The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.

Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.

Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.

Learn more about Equation click here :brainly.com/question/13763238

#SPJ11

Answer:

28 blocks are filled in so I don't know how this a decimal... maybe it's .28

Step-by-step explanation:

Answer:

\(A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2\)

The surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a triangular prism, is showing in the picture:

Here  a = 25

b = 25

c = 14

h = 44

The surface area of the triangular prism is given by:

\(\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4]\)

Plug all the values in the formula we get:

A = 3152 square cm

Thus, the surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

Learn more about triangular prisms here:

https://brainly.com/question/16909441

#SPJ2

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Answer: Draw a line from (2, 2) to (6, 2) for the run.

Draw a line from (6, 2) to (6, 8) for the rise.

The slope of the line is represented by rise/run, so in this case it would be 6/4.

The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

Learn more about mathematics here: brainly.com/question/24600056

#SPJ4

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

To know more about Power consumption visit-

brainly.com/question/32435602

#SPJ11

The numbers of nickels in a boys bank is 1 less that twice the number of dimes. if the total value of the coins in the bank is at least 4.37. There are smallest 87 number of coins are dimes

Nickel:

The nickel is a five-cent coin minted by the United States Mint. Made of cupronickel (75% copper, 25% nickel), this piece has been published since 1866. It has a diameter of 21.21 mm (0.835 inches) and a thickness of 1.95 mm (0.077 inches). The

Dine:

Dime is a dime in U.S. terminology, officially called a "one cent". The name was first authorized by the Money Act of 1792.

The dime is the smallest in diameter and thinnest US coin currently minted for circulation at 0.705 inches (17.91 millimeters) and 0.053 inches (1 inch) in diameter.

According to the question:

We know that 1 Nickel = $0.05

and                  1 Dime = $ 0.10

Let Nickel be denoted as N

and, Dime be denoted as D

Now,

N +D = 1 - 2D  

⇒ N + 3D = 1          ------------------------- (1)

And,

0.05N +0.10D = 4.37 ------------------------- (2)

solving the equation (1) and (2), we get,

N = 261

putting N = 261 in equation (1), we get,

D = 87

Therefore,  there are total 261 nickel and 87 Dimes

Learn more about Dimes:

https://brainly.com/question/16439760

#SPJ4

Answer:

3.667+ 2

Step-by-step explanation:

Area of a rectangle = length x width

11x + 10 = (3x +5) x width

to determine the width, divide both sides of the equation by 3x + 5

(11x + 10) / (3x + 5) = width

width = 3.667 + 2

The value of q2final, the charge on capacitor C2 a long time after the switch is closed, depends on the specific circuit configuration and the initial conditions. Without further information about the circuit and initial conditions, a definitive value for q2final cannot be determined.

The charge on a capacitor depends on the capacitance value (C) and the voltage across it (V). In a circuit, the charge on capacitors can change over time based on the flow of current and the configuration of the circuit elements. However, once the circuit reaches a steady state or a long time has passed, the charges on the capacitors stabilize.

To determine the value of q2final, we need to know the circuit configuration, including the presence of any resistors, voltage sources, or other components. Additionally, the initial conditions, such as the initial charge and voltage, are crucial in determining the final charge on capacitor C2.

Without these specific details, it is not possible to calculate or determine the exact value of q2final. To obtain the value, one would need to analyze the circuit using principles of circuit theory and apply relevant equations and laws, such as Kirchhoff's laws and the equations governing capacitors' behavior.

Learn more about Kirchhoff's laws here:

https://brainly.com/question/30400751

#SPJ11

True, the expression simplifies to -15 - 6a.

In the expression -3(5 + 2a), we need to apply the distributive property of multiplication over addition. This means multiplying -3 by both 5 and 2a individually.

-3 times 5 is -15.

-3 times 2a is -6a.

In the expression -3(5 + 2a), we need to simplify it by applying the distributive property.

The distributive property states that when we have a number outside parentheses multiplied by a sum or difference inside the parentheses, we need to distribute or multiply the outer number with each term inside the parentheses.

So, in this case, we start by multiplying -3 with 5, which gives us -15.

Next, we multiply -3 with 2a. Since multiplication is commutative, we can rearrange the expression as (-3)(2a), which equals -6a.

Therefore, the original expression -3(5 + 2a) simplifies to -15 - 6a, combining the terms -15 and -6a.

It's important to note that this simplification is possible because we can perform the multiplication operation according to the distributive property.

Learn more about expression here:-

https://brainly.com/question/30265549

#SPJ11

Answer:

92

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

155+33=188-4=184 divided by 2 =92

Answer:

Step-by-step explanation:

Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Answer:

100 bikes

Step-by-step explanation:

10% is the same as muiltiplying the number by 1/10 or dividing the number by 10. So if you say you have 10% of 640, it would be 64.

Therefore , the solution of the given problem of triangle comes out to be RST's triangle has a 30 unit perimeter.

Because a triangular has two or more extra pieces, it is a polygon. Its structure is a simple rectangle. A triangle is a rectangle with only edges A, B, and C. Euclidean geometry produces a single plane instead of a cube when the extremities aren't exactly collinear. A shape is considered triangular if it has three sides and three angles. An angle is the point where a quadrilateral's three sides meet. A triangle's sides add up to 180 degrees.

Here,

You would need to multiply the lengths of the triangular RST's three sides in order to determine its perimeter.

When we look at the picture, we can see that:

The length of Section RS is 5 units.

The length of Section ST is 12 units.

The length of Section RT is 13 units.

As a result, the triangular RST's perimeter would be:

Circle is calculated as follows: 5 + 12 + 13 = 30 units.

RST's triangle has a 30 unit circumference.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

\(c=7\)

Step-by-step explanation:

\(8=-3c+29\)

⇒ Switch sides:-

\(-3c+29=8\)

⇒ Subtract 29 from both sides:-

\(-3c+29-29=8-29\)

\(-3c=-21\)

⇒ Divde both sides by -3:-

\(\frac{-3c}{-3}=\frac{-21}{-3}\)

\(c=7\)

OAmalOHopeO

The equation of the line is y = 4x - 16 if the x-intercept of 4 having slope of the line is 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two points:

(-3, -3) and (-1, 5)

Find the slope using these two points:

m = (5+3)/(-1+3)

m = 8/2 = 4

The slope of a line parallel to the line of graph given:

M = 4

y = 4x + c

x-intercept of 4:

Plug point (4, 0)

0 = 16 + c

c = -16

y = 4x - 16

Thus, the equation of the line is y = 4x - 16 if the x-intercept of 4 having slope of the line is 4.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Hey there! Johnny Sins always here to help,

To find out what score Natasha needs to earn on her next test, we can use the following formula:

Average = (sum of all scores) / number of scores

Let's call the score Natasha needs to earn on her next test "x".

Her average so far is:

Average = (94 + 89 + 88 + 92 + 85) / 5 = 90

Her average after her next test will be:

Average = (94 + 89 + 88 + 92 + 85 + x) / 6

Now, we need to set this equal to 90% and solve for x:

90 = (94 + 89 + 88 + 92 + 85 + x) / 6

90 * 6 = (94 + 89 + 88 + 92 + 85 + x)

540 = (94 + 89 + 88 + 92 + 85 + x)

x = 540 - (94 + 89 + 88 + 92 + 85)

x = 540 - 448

x = 92

So, Natasha needs to earn a 92% on her next test to average at least 90%.

_________________________________________________________

No problem for the answer, be sure o give a 5 stars and thanks,

Johnny Sins

Answer:

Step-by-step explanation:

First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle

in ΔDEF we have 180 -68 -81 = 31°

in ΔABC we have 180 -68 -33 = 79°

the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.

Answer: C

Step-by-step explanation:

If you look at the picture, you can see that it is decreasing from hour 3 to hour 4.

This means that from 3 < x < 4, it is decreasing.

Let's say that the Nguyen family's sprinkler was used for x hours and the Hernandez family's sprinkler was used for y hours.

So, the amount of water output by Nguyen family's sprinkler in x hours is 40x L.The amount of water output by Hernandez family's sprinkler in y hours is 25y L.Both families used their sprinklers for a combined total of 60 hours, so:x + y = 60...........(1)The combined water output of both sprinklers was 2025 L. Thus,

40x + 25y = 2025

From equation (1), we have y = 60 −

x Substitute y in equation (2) with 60 −

x:40x + 25(60 − x) = 202540x + 1500 − 25x = 202515x = 525

x = 35 hours. Substituting x in equation (1), we have y = 60 − x = 60 − 35 = 25 hours.

Answer:Hours Nguyen family's sprinkler was used: 35 hours .Hernandez family's sprinkler was used: 25 hours.

To know more about sprinkler visit:

https://brainly.com/question/30777999

#SPJ11

Whole foods, a grocery and health food store, is ready to open a new location in dallas, texas. executives at whole foods would like to gather research to determine which dallas neighborhood to build in. whole foods uses information from esri's tapestry segmentation to identify dallas zip codes with the highest concentration of their target audience. Whole foods is utilizing research services  of secondary data.

What does marketing research mean?

Marketing research is the methodical collection, logging, and analysis of qualitative and quantitative data regarding problems pertaining to the marketing of goods and services. Finding and evaluating how shifting aspects of the marketing mix affect consumer behavior is the aim.    

                               Information that is pertinent to decision-making is provided by marketing research, which benefits marketing management. In addition to not making judgments or ensuring success, marketing research is not autonomous.

What kind of internal secondary data might be used for marketing research?

Secondary data sources typically come from a company's internal data, such as sales and marketing records, customer account information, and data on product purchases and usage.

Learn more about Marketing research

brainly.com/question/18723483

#SPJ4