Which statement about the randomization for the matched pairs design is correct? For each participant, the nutritionist should flip a coin. If the coin lands on heads, the participant will be assigned to exercise during the first month and drink energy drinks during the second month. If the coin lands on tails, the participant will be assigned to drink energy drinks during the first month and exercise during the second month. The nutritionist should place the names of the 50 participants on slips of paper and put them in a hat. She should then draw out 25 of the slips. Those participants will exercise for both months. The remaining 25 participants will drink energy drinks for both months. The nutritionist should let the participants decide which treatment they would like to do first. That way, if they are too busy to exercise 30 minutes each day during the current month, they can save that treatment for the second month. Because there are two treatments, exercise and drinking energy drinks, the nutritionist should divide the participants into 4 groups: 2 months of exercise, 2 months of energy drinks, 1 month of exercise followed by 1 month of energy drinks, and 1 month of energy drinks followed by 1 month of exercise. She can draw names from a hat to assign the participants to these 4 groups.

Answer:

16

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

16 (cups in a gallon ) divided by 2=8=1/8

Answer:

1/8

Step-by-step explanation: divide

Answer:

60

Step-by-step explanation:

The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is  60.

What is Substitution?

Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.

3x² + 4y⁰(x - 1)

Therefore,

y⁰ = 1

3x² + 4y⁰(x - 1)

3x² + 4y⁰(x - 1)

3x² + 4(x - 1)

3x² + 4x - 4

Therefore, when x = 4 and y = 5

3(4)² + 4(4) - 4

48 + 16 - 4 = 60

HOPE THIS HELPED!

Answer:

B

Step-by-step explanation:

Answer: 93 grams Zinc

Step-by-step explanation:

cross multiply, and solve for the variable:3(403) = 13(x)3(31) = x93 = x .

Answer:

x = 9

Step-by-step explanation:

12^2+x^2 = 15^2

==> x = 9

Answer:

9

Step-by-step explanation:

x = \(\sqrt{c^{2} - a^{2} }\)

x = \(\sqrt{15^{2} - 12^{2} }\)

x = \(\sqrt{225 - 144}\)

x = \(\sqrt{81}\)

x = 9

The volume of the rectangular prism is 1.6 cubic inches.

Let's start by finding the number of cubes that can fit in each dimension of the rectangular prism. Since each cube has an edge length of 1/5 inch, the length, width, and height of the rectangular prism must be multiples of 1/5 inch. Let's call the length of the rectangular prism "L", the width "W", and the height "H". Then we have

L = 1/5 × x

W = 1/5 × y

H = 1/5 × z

where x, y, and z are integers.

Since the rectangular prism is completely packed with 200 cubes, we have

x × y × z = 200

We want to find the volume of the rectangular prism, which is given by

V = L × W × H = 1/5 × x × 1/5 × y × 1/5 × z = 1/125 × x × y × z

Substituting x × y × z = 200, we get

V = 1/125 × 200 = 8/5 = 1.6 cubic inches

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The given question is incomplete, the complete question is:

A rectangular prism is completely packed with 200 cubes of edge length fraction 1/5 inch, without any gap or overlap. find the  volume of this rectangular prism

The equation of the function g(x) is g(x) = -x²

The complete question is added at the end of this solution

From the question, we have the following function that can be used in our computation:

f(x) = x²

We have the transformation to be:

Reflection across the y-axis

This is represented as

(x, y) = (x, -y)

So, we have

g(x) = -f(x)

Substitute f(x) = x² in g(x) = -f(x)

g(x) = -x²

Hence, the transformation is g(x) = -x²

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f(x) = x²

Find g(x), where g(x) is the reflection across the y-axis of f(x)x.

Write your answer in the form a(x- h) + k, where a, h, and k are integers.

g(x)=

It will take 33.33 years for the account to reach $5500

What is simple interest?

Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.

We know,

Victoria deposited  into a savings account $5000

Annual simple interest rate of 0.3%.

Formula of Simple Interest

                        A = P(1 + rt)

                       5500 = 5000(1 + 0.003t)

                       5500 = 5000 + 15t

                        15t = 500

                         \(t = \frac{500}{15} = 33.33\)

It will take 33.33 years for the account to reach $5500

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Answer:

r≈3.95in

Step-by-step explanation:

Answer:

equation: y = 32000 - 2000x

0 = 32000

1 = 30000

2 = 28000

3 = 26000

4 = 24000

Step-by-step explanation:

The descending height every minute will be,

32,000 feet

30,000 feet

28,000 feet

26,000 feet

24,000 feet

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

0 minutes into the descent:

y = 32,000 feet

1 minute into the descent:

y = 32,000 - 2,000(1) = 30,000 feet

2 minutes into the descent:

y = 32,000 - 2,000(2) = 28,000 feet

3 minutes into the descent:

y = 32,000 - 2,000(3) = 26,000 feet

4 minutes into the descent:

y = 32,000 - 2,000(4) = 24,000 feet

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$2,000 at 10% semi-annually becomes approximately $3,105.85, $1,000 at 12% monthly becomes $1,762.34, and $1,476.19 is needed to reach $2,000 at 8% quarterly.



To calculate the accumulated amount in each savings plan, we can use the formulas for future value (F) and present value (P). For the first savings plan, we have a deposit of $2,000 today at 10% interest compounded semi-annually. Using the formula F = P(1 + r/n)^(nt), where P is the principal amount, r is the interest rate, n is the number of compounding periods per year, and t is the number of years, we substitute the given values to get F = $2,000(1 + 0.10/2)^(2*5) ≈ $3,105.85.

For the second savings plan, we deposit $1,000 today at 12% interest compounded monthly. Using the same formula, we get F = $1,000(1 + 0.12/12)^(12*5) ≈ $1,762.34.For the third savings plan, we need to find the present value (P) required to get $2,000 in 5 years at 8% interest compounded quarterly. Rearranging the formula to solve for P, we have P = F / (1 + r/n)^(nt). Substituting the given values, P = $2,000 / (1 + 0.08/4)^(4*5) ≈ $1,476.19.

Therefore, the accumulated amounts in the three savings plans over 5 years are approximately $3,105.85, $1,762.34, and $1,476.19, respectively.

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Answer:

1.7r

Step-by-step explanation:

Yes, that is correct. The four points (3,5), (2,5), (-3,2), and (2,2) form a four-sided polygon or a quadrilateral. A quadrilateral is any four-sided polygon, and it can have different shapes and properties depending on the angles and sides of its vertices

The set of four points (3,5), (2,5), (-3,2), and (2,2) form a closed shape with four straight sides, known as a polygon. Specifically, this polygon has four sides and is therefore known as a quadrilateral.

Quadrilaterals can have different shapes and properties depending on the angles and sides of their vertices. In this case, the quadrilateral formed by these four points is a trapezoid.

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

The parallel sides of this trapezoid are formed by the line segments connecting (3,5) and (2,5), and (-3,2) and (2,2), while the non-parallel sides are formed by the line segments connecting (3,5) and (-3,2), and (-3,2) and (2,2).

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Question

The figure formed by joining the coordinates (3,5), (2,5), (-3,2), and (2,2) is a quadrilateral.  

The solution of the equation 2x+y=4 and 3x-2y=-1 is the value of x = 1, while the value of y = 2

We have, the sets of equations as:

2x+y=4 and 3x-2y=-1?

As here, let 2x+y = 4 ----(i) and 3x-2y = -1 ----(ii)

As here to solve the value of x and y we will first equalise the co-efficient of x.

Here, the co-efficient of x in the first equation is 2, while in the second equation it is 3

So, for equalising, we will first multiply the first equation by 3 and the second by 2,

Thus, we will get it as:

6x+3y=12 ----(iii)

6x-4y=-2----(iv)

Now subtracting (iv) from (iii)

We will get,

7y = 14

=>y=2

Putting the value of y in (i),

2x=4-y = 4-2 =2

=>x = (2/2)=1

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The complete question may be like:

What is the solution of the equations 2x+y=4 and 3x-2y=-1?​

a. The population be after 5 years will 9,277.43.

b.  It will take approximately 46.0517 years for the population to reach half of its initial size.

To solve this problem, we can use the formula for exponential decay:

P(t) = P0 * e^(rt)

where P(t) is the population at time t, P0 is the initial population, r is the decay rate (expressed as a decimal), and e is Euler's number.

Given:

P0 = 10,000 (initial population)

r = -0.015 (decay rate, as the population is decreasing)

t = 5 years (time period)

(a) To find the population after 5 years, we can substitute the values into the exponential decay formula:

P(5) = 10,000 * e^(-0.015 * 5)

Using a calculator or computer software to evaluate this expression:

P(5) ≈ 10,000 * e^(-0.075)

P(5) ≈ 10,000 * 0.927743486

P(5) ≈ 9,277.43

Therefore, the population after 5 years will be approximately 9,277.43.

(b) To determine the year when there will be half of the population, we need to find the value of t that makes P(t) equal to half of the initial population (P0/2 = 10,000/2 = 5,000).

5,000 = 10,000 * e^(-0.015t)

Dividing both sides by 10,000:

0.5 = e^(-0.015t)

To isolate the variable t, we can take the natural logarithm (ln) of both sides:

ln(0.5) = -0.015t

Using a calculator or computer software:

t ≈ ln(0.5) / -0.015

t ≈ 46.0517

Therefore, it will take approximately 46.0517 years for the population to reach half of its initial size.

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(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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Answer: look at the picture

Step-by-step explanation: Hope this help :D

A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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Answer:

80

Step-by-step explanation:

8 pints in a gallon so then you multiply 8 x 10 and get 80

There is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above. The graph is attached in the end.

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. For example -

f(x) = 2x + 5

g(x) = 4x + 9

Given is function g(x) = (x - 4)² + 3

There is no need of any reference points to graph this function. You can take the reference points in a specific range. For example, you can plot the graph for the values of [x] from x = -5 to x = 5. It can be noticed that we have taken 5 - 5 points on both sides of the [x] axis. Make sure that you ensure this symmetry. Range could be any, for example from x = - 7 to 7, x = - 10 to 10 etc. The given function is -

g(x) = (x - 4)² + 3

We will plot the graph for x = -3 to x = 3

g(-3) = 52

g(-2) = 39

g(-1) = 28

g(0) = 19

g(1) = 12

g(2) = 7

g(3) = 4

Now, we will plot these coordinates on the graph. The plotted graph is attached with the answer.

Therefore, we can conclude that, there is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above.

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Answer:

Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.

Step-by-step explanation:

(self-explanatory)

I hope this helps, have a nice day.

Answer: 7/4

Step-by-step explanation:

The y-value moves 7 units up as the x-value moves 4 units to the right.

Answer: it's 2

Step-by-step explanation: rise 2 run 1

JKLM is a trapezoid. Statements A and E are correct.

It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.

These are the actual statements:

(a) J is supplementary to K

(e) KL is parallel to JM

Hence, statements A and E are correct.

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The total number of apples, oranges, and tangerines in the fruit basket is in the ratio 10 or 10x

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

We know that : the ratio of apples : oranges : tangerines = 3 : 2 : 5.

The total number of apples, oranges, and tangerines in the fruit basket is the total number of ratio, that is 3 + 2 + 5 = 10.

Because of the question is not contain information about the number of pieces, we can describe the dividend with x (or unknown value). So, the total number of apples, oranges, and tangerines in the fruit basket with ratio, that is 10 or 10x.

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The logistic model is a mathematical function that depicts how a limited quantity grows. To use a sketch of the phase line to argue that any solution to the logistic model approaches the equilibrium solution p(t) a b as t approaches infinity, the first step is to sketch the region where p(t) is increasing and decreasing.

The logistic model is a mathematical function that depicts how a limited quantity grows. This model is given by;\($$\frac{dp}{dt}=aP(1-\frac{P}{b})$$\) where a, b, and p0 are positive constants.To use a sketch of the phase line to argue that any solution to the logistic model approaches the equilibrium solution p(t) ≡ a b as t approaches infinity, let's follow the below steps.

Step 1: Sketch the phase lineThe logistic model's phase line can be illustrated by showing the regions where p(t) is increasing and decreasing. To depict the phase line, the equilibrium solution needs to be located at pb. For a solution to approach the equilibrium solution p(t) ≡ a b as t approaches [infinity], it implies that the solution must be to the right of pb on the phase line. As the curve approaches infinity, it gets closer to the equilibrium solution p(t) ≡ a b, as shown in the below sketch.

Step 2: Use the sketch to argue any solution approaches equilibriumThe phase line indicates that any solution on the left-hand side of pb on the phase line will approach zero as time increases. Thus, the equilibrium solution p(t) ≡ a b is the only stable solution when t approaches infinity. Therefore, any solution to the logistic model below, where a, b, and p0 are positive constants, approaches the equilibrium solution p(t) ≡ a b as t approaches [infinity].

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yes. how'd you knowwww?

Answer:

no

Step-by-step explanation: