researchers have found that taking icy showers may heighten your immune system and make you more resistant to illness. a clinical trial[3] in the netherlands found that cold showers led to a 29% reduction in people calling off sick from work. another study even connected cold showers to improved cancer survival

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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If Sona pays $15 in the club as dues every month, the dues she pays is a kind of fixed expense.

Therefore the answer is (d) fixed.

Sonya pays $15 each month to the club, this is certainly an expense as it is not the money she earns, but the money she spends.

This expense does not change in each month according to the number of days or any other factors. It is a fixed amount of money each month. Therefore this is a fixed expense.

So the dues Sona pays each month to the club is a fixed monthly expense for her.

--The question is incomplete, the complete question is as follows--

"Sonya pays $15 in club dues each month. What kind of expense is the dues she pays?

a) this would not be an expense.

b) income

c) variable

d) fixed"

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Answer:

3/8

Step-by-step explanation:

3/4 x 2/4 = 3/8 as a fraction form.

Answer:

3/8

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

adding a negative means you’re subtracting that number so if you rewrote it, it would be -1/4 - 4 3/4. when you subtract from a negative number you can act like the numbers are positive and add them together and add a negative at the end 1/4+4 3/4= 5 but you make it negative so it’s -5

Answer:

x = 5

Step-by-step explanation:

Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:

m<ABD = m<CBD. Therefore:

2(m<ABD) = m<ABC

Substitute:

2(2x + 12) = 44

Solve for x.

4x + 24 = 44 (distributive property)

4x + 24 - 24 = 44 - 24 (substraction property of equality)

4x = 20

4x/4 = 20/4 (division property of equality)

x = 5

The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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The number of pumpkins that were harvested on the farm during in the month of October is shown below, in accordance with the correlation concept.

It is, in Part A.

Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.

what is correlation?

Correlation is a statistical measure that evaluates the strength of a relationship between two variables. It can range from -1 to +1, where -1 indicates a perfect negative linear correlation, 0 indicates no linear correlation, and +1 indicates a perfect positive linear correlation. Correlation is used to measure the strength of the relationship between variables, and whether changes in one variable are associated with changes in the other. Correlation analysis can also help to identify patterns and trends in data, and can be used to make predictions about future outcomes.

Part A:

The stronger the correlation between two variables, as well as vice versa, the closer this same correlation coefficient is to 1. Additionally, the correlation coefficient is closer to 1 the closer this same data points are spaced apart on a scatter plot.

The scatter plot depicted shows a correlation between the quantity of pumpkins and the number of days. The data points are, however, somewhat further apart from one another. The two variables have a moderate relationship, as evidenced by this. Consequently, the calculated correlation coefficient, r, of 0.51 can be regarded as accurate because r of 0.51 denotes a moderate relationship between the two variables.

Part B:

Instead of the day in October, the amount of fertiliser used could have an impact on the number of pumpkins harvested. As a result, we can evaluate the quantity of pumpkin harvested and fertiliser used.

Therefore,

Part A: YES, it is.

Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.

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the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Answer:

180 - 119.4 = 60.6

So the answer is 60.6

Answer:

60.6°

Step-by-step explanation:

Supplementary angles equal 180 degrees. So we can show this with the following equation:

119.4 + x = 180

where x is the measure of the other supplementary angle.

If we subtract 119.4 from both sides, we get the the value of x, which is 60.6.

The solution for the system of equations 2x - 3y = 50 and 7x + 8y = -10 by elimination are x = 10, y = -10

we shall write the equations as:

2x - 3y = 50...(1)

7x + 8y = -10...(2)

multiply equation (1) by 7 to get equation (3) and equation (2) by 2 to get equation (4)

7(2x - 3y) = 7 × 50

14x - 21y = 350...(3)

2(7x + 8y) = 2 × -10

14x + 16y = -20...(4)

subtract equation (3) from (4) to eliminate x

14x + 16y - 14x + 21y = -20 - 350

37y = -370

divide through by 37

y = -10

put the value -10 for y in equation (1) to get x

2x - 3(-10) = 50

2x + 30 = 50

2x = 50 - 30 {subtract 30 from both sides}

2x = 20

x = 20/2 {divide through by 2}

x = 10

Therefore, the solution for the system of equations 2x - 3y = 50 and 7x + 8y = -10 by elimination are x = 10, y = -10

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After about 1.5 hours, David and Amy will be exactly 23 miles apart.

When we're talking about two people or objects moving in different directions, we should use the Pythagorean Theorem to solve problems like this.

When we apply the theorem to this problem,

we get the following equation:

a² + b² = c²

where,

a = 17t,

b = 15t and

c = 23

We can substitute these values into the equation and solve for t:

a² + b² = c²(17t)² + (15t)²

= 23²t² 289t² + 225t²

= 529t² 514t²

= 529t² - 514t²

t² = 23² / (529 - 514)

t² = 23 / 15t = √(23 / 15)

t ≈ 1.5

Therefore, after about 1.5 hours, David and Amy will be exactly 23 miles apart.

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Answer:

18=b . .. . . .. . .. . . .. . ,.,.,.,.,.,..,.,.

Slope:-

\(\\ \sf\longmapsto m=\dfrac{30-20}{1}=10\)

Now

equation in point slope form

\(\\ \sf\longmapsto y-20=10(x-2)\)

\(\\ \sf\longmapsto y-20=10x-20\)

\(\\ \sf\longmapsto y=10x\)

Or

\(\\ \sf\longmapsto f(x)=10x\)

In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

The condition that the sample size should be less than 10% of the population size is important when constructing a confidence interval for a population proportion.

Suppose the sample size is too large relative to the population size. In that case, the sample may not be truly random as it could become biased towards certain groups or characteristics within the population. Additionally, the normal approximation may not hold for the sample proportion, which could lead to inaccurate confidence intervals.

By ensuring that the sample size is less than 10% of the population size, we can assume that the sample was drawn randomly from the population and that the normal approximation is appropriate. This allows us to use the standard normal distribution to construct the confidence interval for the population proportion.

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The perimeter of the rectangle of dimension 1.5 × 10² feet by 1.35 × 10³ feet will be 3,000 feet.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,

Perimeter of the rectangle = 2(L + W) units

The components of a school building are 1.5 × 10² feet by 1.35 × 10³ feet.

Then the perimeter of the rectangle will be given as,

P = 2(1.5 × 10² + 1.35 × 10³)

Simplify the equation, then we have

P = 2(1.5 × 10² + 1.35 × 10³)

P = 2(150 + 1350)

P = 2(1500)

P = 3000 feet

The edge of the square shape of aspect 1.5 × 10² feet by 1.35 × 10³ feet will be 3,000 feet.

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The quantity of green paint that Tyler can make with the amount of blue, yellow, and white paint available would be = 0.4 quantity of green paint.

To make his favourite shade of green paint the following quantity of paints are needed:

Blue paint = 2 cups

Yellow paint = 114 cups

White paint = 34 cup

If 34 of a cup of white paint = green paint (1)

13 of a cup of white paint = X green paint.

make X the subject of formula;

X = 13×1/34

= 0.4 quantity of green paint.

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Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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Answer:

b. Sorted and listed from the minimum to the maximum values

Step-by-step explanation:

A percentile can be defined a measure that is made use of statistics.

A percentile is a statistical measure that indicates or shows comparison amongst a given set of data.

A percentile tells us the value or scores below which a percentage of a given observation in a data set falls.

In other to be able to effectively obtain the percentile if a given set of data, the following steps must be taken.

Step 1: Arrange, sort and list the values of the given the data set in order from lowest to the highest

Step 2: Multiply the percentage (also represented by P ) by total number of values in the data set( also represented by N)

Step 3: The value obtained from step 3 is know as the rank and this would helps us to find the percentile f a given data set.

The formula for calculating a percentiles is given as

= (P/100) x N,

where

P = percentile

N = number of values in a data set (sorted or arranged from lowest to highest)

n = Rank of a given value.

Answer:

a. 64

b. 7.5

c. 7 min 5 sec

d. 14.5

e. 2.52

The rate per hour is known as the average speed.

Average speed = total distance / time

320 / 5 = 64 km / hr

The rate per book is the cost of one book.

Cost of one book = total cost of the book / number of books bought

$360 / 48 = $7.50

The rate per minute = total litres / total minutes

900 / (2 x 60)

900 / 180 = 5 litres per minute

Rate pay per hour = total amount earned / total hours worked

$145 / 10 = $14.50 per hour

Cost per kg = total cost of the peas / total weight of the peas

$12.58 / 5 = $2.52 per kg

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Answer:

A

Step-by-step explanation:

dont know just trust me

Answer: first one is 15 and the second one is 6.

Step-by-step explanation:

hope this is the right answer :)

The increase in obesity rates in the United States, particularly among teenagers, can have a significant impact on the size of the government debt, even if the dependency ratio remains constant.

Obesity is linked to an increased risk of chronic diseases such as type 2 diabetes, heart disease, and certain cancers. These chronic diseases require costly medical treatments and care, which can put a strain on the government's finances. In turn, the government may need to spend more on healthcare programs, such as Medicaid and Medicare, to cover the costs of treating these chronic diseases.

Additionally, obesity can lead to a reduction in economic productivity and an increase in disability rates, which can result in lower tax revenues and higher disability payments. This reduction in economic productivity can also have a negative impact on economic growth, further exacerbating the debt problem.

Therefore, the increase in obesity rates in the United States can lead to increased government spending on healthcare and disability programs, lower tax revenues, and slower economic growth. All of these factors can contribute to an increase in the size of the government debt.

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The height of the recycling bin is approximately 6.71 feet.

To find the height of the rectangular recycling bin, we'll use the given information of its length, width, and surface area.

Let's assume the height of the box is denoted by "h" (in feet).

The formula for the surface area of a rectangular box is given by:

Surface Area = 2lw + 2lh + 2wh

In this case, we have the following information:

Length (l) = 20 ft

Width (w) = 8 ft

Surface Area = 712 ft²

Plugging in these values into the surface area formula:

712 = 2(20)(8) + 2(20)h + 2(8)h

712 = 320 + 40h + 16h

712 = 336 + 56h

712 - 336 = 56h

376 = 56h

Dividing both sides by 56:

h = 376/56

h = 6.71 ft (rounded to two decimal places)

Therefore, the height of the recycling bin is approximately 6.71 feet.

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The question seems incomplete, the correct question is as follows:

A recycling bin is in the shape of a rectangular box find the height of the box if its length is 20 ft its width is 8 feet and its surface area is 712 ft squared.

The library is about 26.1 miles from the courthouse.

To solve this problem, we will apply the Pythagorean theorem, which tells us that during a right triangle, the square of the period of the hypotenuse( the longest side) is same to the total of the places of the lengths of the different two sides.

In this instance, the park is on the right angle, and the library and courthouse are the opposite two factors. we can consider the distance among the library and the park because the length of 1 leg of the triangle, and the space among the courthouse and the park as the length of the other leg.

So, using the Pythagorean theorem, we're suitable to calculate the period of the hypotenuse( the distance among the library and the courthouse)

library- to- park distance2 courthouse- to- park distance2 = library- to- courthouse distance2

\((14.5)^2 + (21.7)^2 = library-to-courthouse distance^2\)

\(210.25 + 471.29 = library-to-courthouse distance^2\)

\(681.54 = library-to-courthouse distance^2\)

Taking the square root of both aspects, we get

library- to- courthouse distance\(= sqrt(681.54) \approx26.1\)

Accordingly, the library is about 26.1 miles from the courthouse.

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Answer:

23.8

Step-by-step explanation:

V = 4/3 π r³

V = 4/3 π (15)³

V = 4500 π

V = 4/3 π r³

4500 π / 2 = 4/3 π r³

1687.5 = r³

r ≈ 11.9

d ≈ 23.8

Answer:

23.8 is the diameter.

Step-by-step explanation: