A researcher is interested in the effects of exercise on mental health and he proposes the following study: Use stratified random sampling to ensure representative proportions of 18-30, 31-40 and 41- 55 year olds from the population. Next, randomly assign half the subjects from each age group to exercise twice a week, and instruct the rest not to exercise. Conduct a mental health exam at the beginning and at the end of the study, and compare the results. (a) What type of study is this

The correlation between wine consumption and heart disease death rate would not change.

Correlation refers to the statistical relationship between two variables, and it is measured on a scale from -1 to 1. A correlation of -1 indicates a perfect negative correlation (i.e., as one variable increases, the other decreases), a correlation of 0 indicates no correlation, and a correlation of 1 indicates a perfect positive correlation (i.e., as one variable increases, the other increases).

The units of measure used for the two variables do not affect the correlation between them. In other words, the correlation between wine consumption and heart disease death rate would be the same whether the death rate was expressed as deaths per 10000 people or deaths per 100000 people. The only thing that would change is the scale of the death rate variable, but this would not affect the correlation between the two variables.

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a) The inverse function is given as follows: \(r = \sqrt{\frac{3v}{40\pi}}\)

b) The radius of the cone with a volume of 4190 cubic inches is given as follows: r = 10 inches.

The function for this problem is defined as follows:

v(r) = 40/3πr²

We want to find the radius as a function of the volume for the inverse function, hence:

\(r^2 = \frac{3v}{40\pi}\)

\(r = \sqrt{\frac{3v}{40\pi}}\)

Then the radius of the cone with a volume of 4190 cubic inches is given as follows:

\(r = \sqrt{\frac{3 \times 4190}{40\pi}}\)

r = 10 inches.

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Answer:

\(-2 < a < 1\)

Step-by-step explanation:

-15 < 9a + 3 < 12 (Combine like terms)

-18 < 9a < 9 (Subtraction Property)

-2 < a < 1 (Division Property)

Note that just like solving a linear equation, instead of having two sides, you have three. And, whatever you carry out on one side, you have to carry out on all three.

Although, unlike linear equations, if you are dividing/multiplying all sides with a negative integer, then you have to flip the signs.

There are 1 and 3/5 of 5/8 in 1, if Its supposed to be a mixed number.

What is a mixed number?

A mixed number is a combination of a whole number and a fraction. It is written in the form of "a b/c" where a is the whole number, b is the numerator of the fraction, and c is the denominator of the fraction.

To answer your second question, we can divide 1 by 5/8 as follows:

1 ÷ 5/8 = (1 x 8) ÷ 5 = 8/5

We can then write 8/5 as a mixed number by dividing the numerator (8) by the denominator (5) and writing the remainder as the fraction part.

8 ÷ 5 = 1 with a remainder of 3, so we write the answer as:

1 3/5

Therefore, there are 1 and 3/5 of 5/8 in 1.

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The translation from preimage P(9. 1.5) to image P'(12, 1)) in ordered pair is (3, -0.5)

Translation refers to a type of transformation that involve a straight line movement.

The type of movements related to translation includes

The up and down movements are on the vertical direction controlled by the y coordinate. In the question, the preimage moved form 1.5 to 1

hence we say

The left right movement is controlled by the x coordinate. The preimage moved from 9 to 12 ⇒ 9 + 3. Hence we say that

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Answer:

The answer is -12.74

Answer:

The decimal would be -12.74

Answer:

A- x-intercept

B- y-intercept

C- x-coordinate

D- y-coordinate

E- solution

Step-by-step explanation:

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Answer:

y= 2/3x + 2

Step-by-step explanation:

I used desmos to find it, guesstimated a number and it worked <3

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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Answer:

The answer is below

Step-by-step explanation:

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate is:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\)

An equilateral triangle is a triangle with three equal sides (all sides are equal).

a) Given vertices at A(-2,2), B(1,5), and C(-3,6):

\(AC=\sqrt{(-3-(-2))^2+(6-2)^2}=\sqrt{1+16}=\sqrt{17}=4.12\ unit\\\\AB=BC=AC=4.12\ unit\)

b) Perimeter = AB + BC + AC = 3 * AC = 3 * 4.12 = 12.36 unit

c) If the scale factor is increased by 4, all the sides would also increase by 4. Hence the new length would be:

A'B' = B'C' = A'C' = 4 * AC = 4 * 4.12 = 16.48 unit

d) Perimeter = A'B' + B'C' + A'C' = 3 * A'C' = 3 * 16.48 = 49.44 unit

e) Area = \(\frac{\sqrt{3} }{4}*AC^2=\frac{\sqrt{3} }{4} *4.12^2=7.35\ unit^2\)

To find a differential equation that corresponds to a given direction field, we need to examine the slope of the direction field at different points.

Let's consider a direction field where the slope at each point is y. This means that at each point, the slope of the tangent line is equal to the y-coordinate of that point.

To express this as a differential equation, we can use the derivative notation. The derivative of y with respect to x is denoted as dy/dx. Since the slope at each point is y, we can write:

dy/dx = y

This is a first-order linear homogeneous differential equation, known as the exponential growth or decay equation. It represents a function whose rate of change is proportional to its current value.

The differential equation that corresponds to the given direction field with a slope of y is dy/dx = y. This equation describes exponential growth or decay depending on the sign of y.

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The minimum amount of paint needed for two coats will be 297 square centimeters.

The shape is a combination of the rectangle and the triangle. Then the area of the shape is calculated as,

A = 1/2 x 18 x 9 + 18 x 12

A = 81 + 216

A = 297 square centimeters

Hence, the minimum amount of paint needed for two coats will be 297 square centimeters.

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In order to find the equilibrium solution of a differential equation, set the derivative of the dependent variable equal to zero and solve for the independent variable.

Start with a given differential equation in the form dy/dx = f(x, y), where y is the dependent variable and x is the independent variable.

To find the equilibrium solution, set the derivative dy/dx equal to zero:

dy/dx = 0.

Solve the equation dy/dx = 0 for the independent variable x to find the values of x where the derivative is zero. These values represent potential equilibrium points.

Once you have the values of x, substitute them back into the original differential equation to find the corresponding values of y.

For example, if you have found x = a as an equilibrium point, substitute x = a back into the differential equation and solve for y to find the equilibrium solution y = b, where b is a constant.

Repeat the process for all equilibrium points to find their corresponding equilibrium solutions.

To find the equilibrium solution of a differential equation, set the derivative of the dependent variable equal to zero and solve for the independent variable. The values of the independent variable where the derivative is zero represent potential equilibrium points, and by substituting these values back into the original equation, you can determine the corresponding equilibrium solutions.

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The probability of choosing the slot that the ball will fall into on a roulette wheel with 37 slots depends on the type of bet being made. If a player bets on a single number, the probability of winning is 1/37 or approximately 0.027 (rounded to 2 decimal places). This is because there is only one winning number out of 37 total slots on the wheel.

However, if a player bets on a group of numbers (such as a color or odd/even), the probability of winning increases. For example, if a player bets on red, there are 18 red slots out of 37 total slots, so the probability of winning is 18/37 or approximately 0.486 (rounded to 2 decimal places).

It is important to note that the probability of winning on a roulette wheel is always less than 1, meaning that there is always some risk involved in playing. Additionally, the odds of winning and the payouts for different types of bets can vary depending on the specific rules of the game. In summary, the probability of choosing the slot that the ball will fall into on a roulette wheel with 37 slots ranges from approximately 0.027 to 0.486, depending on the type of bet being made.

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Answer:

2.9 meters. Step-by-step explanation: Shanita rode more than Loni. She rode 5.7 meters. 5.7 - 2.8 = 2.9.

We want to know the amount of money invested in each account-- in other words, we want to know the amount invested in the 5% account and the amount invested in the 3% account.

Each of the things we are trying to find will be represented by a variable:

x = amount invested at 5%

y = amount invested at 3%

Since we have two variables to solve for, we will need to find a system of two equations to solve.

We are given two numbers in the problem:

$70,000 = total money invested in both accounts

$2,350 = total interest earned in both accounts

Let's start with the $70,000. Elena wants to split this money into two parts. We have chosen to call the two parts x and y.

Since these two parts must total to $700,000, this gives us our first equation:

x + y = 70,000

Now let's look at the $2,350, the interest earned on the two accounts together.

Let's think about the formula for calculating simple interest :

Interest = (Principle)(Rate)(Time)

Since the time period in this problem is one year, our simple interest equation becomes:

Interest = (Principle)(Rate)(1)

or

Interest = (Principle)(Rate)

Each account has a different amount of money invested in it (either x dollars or y dollars), and each account has a different interest rate (either 5% or 3%). This gives us the following:

Interest earned on x dollars = (x)(5%) = .05x

and

Interest earned on y dollars = (y)(3%) = .03y

The total interest earned in both accounts is $700, so our second equation is:

Interest earned on x dollars + interest earned on y dollars = total interest

.05x + .03y = 2,350

If we multiply both sides of this equation by 100 to clear the decimals, it becomes:

5x + 3y = 23,500

Now we'll solve the system of equations:

x + y = 70,000

5x + 3y = 23,500

Multiply the first equation by -3, then add the equations:

-3x - 3y = -210,000

5x + 3y = 23,500

x = - 93,250

Ann invested $ - 93,250 in the account that pays 5% interest.

To find the amount invested in the other account, substitute - 93,250 for x in either of our equations. We'll choose the easier equation:

x + y = 70,000

-93,250 + y = 70,000

y = 163,250

Ann invested $163,250 in the account that pays 3% interest.

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Probability of chosen the acre of land as per given conditions are as follow:

a. Probability of chosen the acre of land not forested is 0.62.

b. Probability of chosen the acre of land either forest or agriculture is 0.45.

c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.

As given in the question,

Given probability are:

Probability of chosen the acre of land is forest is equal to 0.38.

Probability of chosen the acre of land is agriculture is equal to 0.07.

Probability of chosen the acre of land as per given conditions are as follow:

a. Let P(A) represents the probability of chosen the acre of land is forest.

Then P(A') is the probability of not forested.

P(A) + P(A') = 1

⇒0.38 + P(A') = 1

⇒ P(A') = 1 - 0.38

⇒ P(A') = 0.62

b. Let P(G) is the probability of chosen acre of land agricultural.

No common land given for forest or agriculture, they are independent events.

P(A∩G) = 0

Probability of chosen the acre of land either forest or agriculture

= P( A or G)

= P(A) + P(G) - P(A∩G)

= 0.38 + 0.07 -0

= 0.45

c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.

Therefore, probability of chosen the acre of land as per given conditions are as follow:

a. Probability of chosen the acre of land not forested is 0.62.

b. Probability of chosen the acre of land either forest or agriculture is 0.45.

c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.

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Answer:

The first one is square root, the second one is factoring and the third on is quadratic equation

Step-by-step explanation

Hope this helps! :)

Answer:

The first is organize your data set and after that determinate if the length (the total data) is odd or even dependent of that find the middle value. This is the traditional algorithm for find the median of whatever data set.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

d = {-10, 0, 3, 7, 8}

Step-by-step explanation:

the domain is the set of x values in a function

Answer:

  (d)  219.80 ft

Step-by-step explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

  distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft

The type of effectiveness MIS (Management Information System) metric among the options provided is C. Usability.

Usability is a measure of how easy and intuitive a system or application is for users to interact with and navigate. It focuses on the user experience and assesses the efficiency, effectiveness, and satisfaction of users when utilizing the system. Usability metrics can include factors such as learnability, efficiency of use, error rates, and user satisfaction.

Transaction speed (option A), system availability (option B), and throughput (option D) are not specific to effectiveness metrics. Transaction speed and throughput are typically associated with efficiency metrics, measuring the speed and rate at which transactions or processes are completed. System availability pertains to reliability metrics, measuring the uptime and accessibility of the system for users.

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Answer:

The answer is 36.5

Step-by-step explanation:

When moving from a 95% confidence interval to a 90% confidence interval, the width of the interval will decrease. (option b).

To understand this, let's consider a simple example. Suppose we want to estimate the mean height of all high school students in a particular region. We take a sample of 100 students and calculate the mean height to be 65 inches, with a 95% confidence interval of (63, 67) inches. This means that if we were to repeat this process many times, we would expect the true population mean height to be within this interval 95% of the time.

Now, if we were to calculate a 90% confidence interval instead, we would obtain a narrower interval because we are now willing to accept a greater risk of being wrong.

It is important to note that the width of the confidence interval depends on the sample size and the variability of the data.

As the sample size increases or the variability decreases, the confidence interval will become narrower. Conversely, as the sample size decreases or the variability increases, the confidence interval will become wider.

Hence the correct option is (b)

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The percent of the people surveyed that were satisfied with the car is 25%.

From the information, in the survey of 1,900 people who owned a certain type of car, 475 said they would buy that type of car again.

The percentage of those that were satisfied will be:

= Number of those satisfied / Total number of people × 100

= 475 / 1900 × 100.

= 25%

The percentage is 25%.

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Step-by-step explanation:

the answer is in the above image

adjacent side:

using Pythagoras

hypo² = oppo² + adja²

(√13)² = 2² + adja²

adja²= 13 -4

adja²=9

adjacent side = 3

so tan A= oppo/adja

tan A=2/3

Answer:

350 ft

Step-by-step explanation:

its like a ratio for every 8 inches it is equal to 250 feet. so all you gotta do is 250 divided by 8 giving you 31.25. next you do 31.25 times 11.2 which is equal to 350.

Answer:

350 feet

Step-by-step explanation:

The other person is right LOL thanks to the other person