Richie is claiming that significantly more Sweatin to the Oldies watchers lose weight than in Billys program. To dispute this claim, Billy hired an independent consulting firm to randomly survey a bunch of heavy people. They found that 1,280 of the 2,340. Billy Blanks supporters lost weight and 1,180 out of the 2,006 Simmons supporters lost weight. Is their significant evidence at the 5% level to prove that Sweatin to the Oldies is better than Tae Bo

Answer:

-8 + 8i

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Just do 40 divided by 5.

Answer:

13/40

Step-by-step explanation:

Total No of pupils = 40

No of pupils who play the flute = 15

No of pupils who play the Piano = 7

No of pupils who play both = 5

Total No of pupils who can play the atleast one instrument = 15+5+7= 27

No one pupils who play neither instrument = 40 - 27 = 13

Probability of a pupil being chosen at random who plays neither instrument = No of Pupils who play neither instrument/ Total No of pupils = 13/40

Therefore the answer will be 13/40

a) The differential equation for the amount of drug in the bloodstream is:

dM/dt = -0.5M(t) mg/h.

b) The amount of the drug present in the body after a long time is 0 mg.

(a) To write a differential equation for the amount of drug present in the bloodstream at any time, we need to consider the rate of change of the drug in the bloodstream. The rate at which the drug enters the bloodstream is given as 100 mg/cm³ per hour.

Let M(t) be the total amount of the drug (in milligrams) in the patient's body at any given time t (in hours). The rate at which the drug leaves the bloodstream is proportional to the amount present, with a rate constant of 0.5 h⁻¹.

The rate at which the drug leaves the bloodstream can be expressed as -0.5M(t) mg/h, as it is proportional to the amount of drug present.

(b) To find the amount of the drug present in the body after a long time, we can solve the differential equation for M(t). This is a first-order linear ordinary differential equation.

Separating the variables and integrating:

1/M dM = -0.5 dt.

Integrating both sides:

ln|M| = -0.5t + C,

where C is the constant of integration.

Exponentiating both sides:

|M| = e^(-0.5t+C).

Simplifying:

|M| = Ke^(-0.5t),

where K = e^C is another constant.

Since M represents the amount of the drug, which cannot be negative, we can drop the absolute value signs. Therefore, we have:

M(t) = Ke^(-0.5t).

To determine the value of K, we need an initial condition. Let's assume that at t = 0, there is no drug in the body, i.e., M(0) = 0. Substituting these values into the equation:

M(0) = K * e^(-0.5 * 0) = K * e^0 = K * 1 = K = 0.

Therefore, the value of K is 0, and the solution to the differential equation is:

M(t) = 0 * e^(-0.5t) = 0.

This means that after a long time (as t approaches infinity), there is no drug present in the body.

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100 same-day tickets were sold for the cost using equation.

To solve this problem, we can use a system of two equations with two variables. Let x be the number of advance tickets sold and y be the number of same-day tickets sold. Then we have:

x + y = 600   (equation 1: total number of tickets sold)
50x + 30y = 28000   (equation 2: total amount paid for tickets)

We can solve for x and y by using elimination or substitution. Here's one way to do it using substitution:
From equation 1, we have y = 600 - x. Substitute this into equation 2:

50x + 30(600 - x) = 28000

Simplify and solve for x:
50x + 18000 - 30x = 28000
20x = 10000
x = 500

So 500 advance tickets were sold. To find the number of same-day tickets, we can substitute x = 500 into equation 1:

500 + y = 600
y = 100

So 100 same-day tickets were sold.

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To change the weight of kilograms into pounds, multiply the weight in kilograms by 2.2

According to the conversion systems, 1 kg = 2.2046 lbs

To facilitate conversion on a pen-paper basis we cannot use 2.2046 whole.

Hence we generally consider 1 k = 2.2 pounds.

The symbol for pounds is lbs and for kilograms is kg.

Now, 1 kg is 2.2 lbs

2 kg = 1 kg + 1 kg

= 2.2 lbs + 2.2 lbs

= 4.4lbs = 2 X 2.2

3 kg = 1 kg + 2 kg

= 2.2 lbs + 4.4 lbs

= 6.6 lbs. = 3 X 2.2

Hence we can see that for all these numbers we can multiply 2.2 to the given weight in kg to get the pounds form.

Hence we need to multiply 2.2

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Answer:

What is the value of √m = ∓ 17

The value of √m = ∓ 17 is undefined.

Answer:

the answer is b

Step-by-step explanation:

In order to establish the significance of a correlation, in addition to the correlation coefficient, it is necessary to know the number of paired scores (sample size) to determine the reliability and statistical significance of the correlation. So the correct option is A.

The number of paired scores, also known as the sample size, is essential in determining the significance of a correlation. The reliability and statistical significance of a correlation are influenced by the sample size because a larger sample size provides more information and reduces the influence of random variation.

When calculating a correlation coefficient, it is necessary to have an adequate number of data points or paired scores to ensure that the observed correlation is not purely due to chance. A larger sample size increases the confidence in the correlation estimate and allows for more accurate inference about the population correlation. Statistical tests, such as hypothesis testing or calculation of p-values, rely on the sample size to determine if the observed correlation is statistically significant or likely to have occurred by chance.

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Answer:

15

Step-by-step explanation:

(-2,3)-x1,y1

6,r -x2,y2

slope(m)=3/2

m= y2-y1/x2-x1

3/2= r-3/8

r=15

The measurement basis used when a reliable estimate of fair value is not available is the historical cost basis.

Historical cost basis refers to the original cost of acquiring an asset or incurring a liability. Under this basis, assets are recorded at the amount paid or the consideration given at the time of acquisition, and liabilities are recorded at the amount of consideration received in exchange for incurring the obligation.

This measurement basis is used when a reliable estimate of fair value is not available because fair value requires market prices or observable inputs, which may not be readily available in certain situations. In such cases, historical cost provides a more objective and verifiable measure of an asset's value.

For example, if a company purchases a building for $500,000, the historical cost of the building will be recorded as $500,000 on the balance sheet. Even if the fair value of the building increases or decreases over time, the historical cost will remain unchanged unless there are subsequent events that require a different measurement basis, such as impairment.

In summary, when a reliable estimate of fair value is not available, the historical cost basis is used as a measurement basis to record assets and liabilities at their original acquisition or incurrence cost.

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Answer:

1 is non proportional

2 is proportional

3 is not proportional

Answer:

1. not proportional

2. unit rate = 2.19

3. unit rate = 0.4

Answer: D

Step-by-step explanation:

Answer:

C=6.4ft

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 5^2 = c^2

4 + 4 = 16

5 + 5 = 25

16 + 25 = c^2

41 = c^2

Now you will need to find the square root of 41 which gives you 6.40 and you just round to nearest tenth..

HOPE THIS HELPS!!

If a data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased and gets a score of 0.8, this simply means that: 2. The model is biased.

In Mathematics, a sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly, which eventually results in a sample that is not representative of the entire population.

In conclusion, a bias() function with an outcome score of 0.8 in R programming indicates that a model is biased because the closer a score is to zero, the lower are its chances of being biased.

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Complete Question:

A data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased. They get a score of 0.8. What does this mean?

1. Bias cannot be determined

2. The model is biased

3. Bias can be determined

4. The model is not biased

This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.

By performing a chi-squared test of independence on the sample of 2100 GMU students, we can determine whether their demographics match those of the US population, and either reject or fail to reject the null hypothesis.

Based on the information provided, the expected proportions of different races in the US population are: 76% white, 14% black, 1% American Indian or Alaskan Native, 6% Asian, 1% Native Hawaiian, and 2% two or more races.

To determine whether the demographics of GMU students match those of the US population, we can use a hypothesis test. We will use a chi-squared test of independence to compare the observed frequencies of each race in the sample to the expected frequencies based on the US population demographics.

Assuming a significance level of 0.05, if our calculated chi-squared value is greater than the critical value from the chi-squared distribution with (6-1=5) degrees of freedom, we will reject the null hypothesis that the demographics of GMU students match those of the US population.

If we obtain a p-value less than 0.05, we reject the null hypothesis and conclude that the demographics of GMU students are significantly different from those of the US population. If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference between the demographics of GMU students and those of the US population.

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Answer:49.5

Step-by-step explanation:

Since all sides of a square are equal, multiply 6 x 6. Then multiply 6 times 4 1/2 then divided by 2. Now add everything together. Hopefully this helps :)

To find the solutions to the equation (x - 6)(x + 8) = 0, we need to set each factor equal to zero and solve for x.

Setting x - 6 = 0:

x - 6 = 0

x = 6

Setting x + 8 = 0:

x + 8 = 0

x = -8

So the solutions to the equation (x - 6)(x + 8) = 0 are x = 6 and x = -8.

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The expression that gives the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours is option d: 20 - 20e^-0.5.

The rate of snowfall is given by the function r(t) = 2e^-0.1t inches per hour. To find the amount of snow that falls from time t = 0 to time t = 5 hours, we need to integrate the rate function with respect to time over this interval.

Integrating the function r(t) from 0 to 5 gives us ∫(0 to 5) 2e^-0.1t dt. This integration evaluates to 20 - 20e^-0.5.

Option d: 20 - 20e^-0.5 is the correct expression because it represents the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours. The constant term 20 represents the initial amount of snowfall at t = 0, and the exponential term accounts for the decrease in the rate of snowfall over time.

Therefore, the correct expression to calculate the amount of snowfall in this time interval is 20 - 20e^-0.5.

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The area of the decagon is 123.2 square units and the area of the circle is 131.91 square units

Other solutions are shoen below

The apothem is given from the question as

Apothem = 6.16

This is because the apothem segment is

Apothem segment = CM

The measure of the central angle is

Central angle = 360/10

So, we have

Central angle = 36

This means that

∠ZCW = 36, ∠DCS = 36, ∠UCP = 72, ∠DCM = 18 and ∠MEC = DNE

Using the right triangle from the question, we have the following tangent ratio:

tan(DCM) = DM/Apothem

So, we have

tan(18) = DM/6.16

So, we have

DM = 6.16tan(18)

When solved, we have

DM = 2.0

MS = 2.0

DS = 4.0

The perimeter of the decagon is calculated as

Perimeter = Number of sides * Side length

Where we have

Number of sides = 10

Side length = 4.0

So, we have

Perimeter = 10 * 4.0

Evaluate

Perimeter = 40 units

The area is calculated as

Area = Number of sides * Area of DCS

So, we have

Area = 10 * 1/2 * 4.0 * 6.16

Evaluate

Area = 123.2 square units

Using the right triangle from the question, we have the following tangent ratio:

cos(DCM) = CM/CD

So, we have

cos(18) = 6.16/CD

So, we have

CD = 6.16/cos(18)

When solved, we have

CD = 6.48

This means that

Radius, r = 6.48 units

For the area of the circle, we have

Area = πr²

Area = π * 6.48²

Area = 131.91 square units

Hence, the area of the circle is 131.91 square units

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Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4! Hope this helped

Answer:

3.5

Step-by-step explanation:

14 divided by 4 equals 3.5

Answer:

∠P = 39º

∠Q=120º

∠R = 21º

Step-by-step explanation:

m∠P+m∠Q+m∠R=180º (sum of ∠s in a triangle)

2x-3+6x-6+x=180º (substitution)

9x-9=180º (algebra)

9x=189º (algebra)

x=21º (algebra) (this is ∠R)

(2x-3)=39º (algebra) (this is ∠P)

6x-6=120º (algebra) (this is ∠Q)

Answer:

∠R = 21°

∠Q = 120°

∠P = 39°

Step-by-step explanation:

Step 1:

6x - 6° + 2x - 3° + x = 180°        Sum of a Δ

Step 2:

9x - 9° = 180°         Combine Like Terms

Step 3:

9x = 189°        Add 9 on both sides

Step 4:

x = 189° ÷ 9       Divide

Step 5:

x = 21°

Step 6:

2 ( 21 ) - 3 = ∠P = 39°

Step 7:

6 ( 21 ) - 6 = ∠Q = 126°

Step 8:

∠R = 21°

Answer:

∠R = 21°

∠Q = 120°

∠P = 39°

Hope This Helps :)

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle \(ABCD\) as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

\(\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\)

\(Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}\)

Answer:

Step-by-step explanation:

Answer:

10/4

Step-by-step explanation:

3(4-x)=x+2

12-3x=x+2

10=4x

x=10/4

Answer: \(x=\Large\boxed{2.5}\)

Step-by-step explanation:

Given equation

\(3(4-x)=x+2\)

Expand the parenthesis on the left-hand side

\(3\times 4-3\times x=x+2\)

\(12-3x=x+2\)

Add 3x on both sides

\(12-3x+3x=x+2+3x\)

\(12=4x+2\)

Subtract 2 on both sides

\(12-2=4x+2-2\)

\(10=4x\)

Divide 4 on both sides

\(10\div4=4x\div4\)

\(x=\Large\boxed{2.5}\)

Hope this helps!! :)

Please let me know if you have any questions

The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

Hospitals collect a wide variety of data on patient health and medical procedures, including demographic information, diagnoses, procedures, and treatments.

This data can be very valuable to public health organizations like the CDC, which use it to better understand patterns and trends in disease and illness.

For example, the CDC might use hospital data to track the spread of a particular disease or to identify areas where certain types of illnesses are more common.

Hence, The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

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Answer:

I would think it to be the last one?it’s seems the most accurate of them all?

Step-by-step explanation:

The systems of inequalities that must be true is \(363b + 6c > = 1,500,000.\)The correct is D

The system of inequalities that must be true if b is the number of beams and c is the number of connector plates is \($\mathbf{D. 363b + 6c \geq 1,500,000}$ and $\mathbf{2b \geq c}$.\)Explanation:Let's find out the weight of one beam and one connector plate:

Weight of one beam = 363 kgWeight of one connector plate = 6 kgLet's represent the number of beams by b and the number of connector plates by c.Each beam weighs 363 kg, and each connector plate weighs 6 kg.There must be at least 2 connector plates for each beam.

Using the above information, we can represent the total weight of the steel pieces by:Total weight of steel pieces = (Weight of each beam) × (Number of beams) + (Weight of each connector plate) × (Number of connector plates)Inequality:

(Weight of each beam) × (Number of beams) + (Weight of each connector plate) × (Number of connector plates) < 1,500,000 kg (Given)Substituting the values:Number of beams = bWeight of each beam = 363 kgNumber of connector plates = cWeight of each connector plate = 6 kgThen, we get:\($$363b + 6c < 1,500,000$$\)

Since there must be at least 2 connector plates for each beam, we can write another inequality as:\($$c \geq 2b$$\) Simplifying, we get:\($$2b \leq c$$\) Combining these two inequalities, we get the required system of inequalities as:\($$\boxed{363b + 6c \geq 1,500,000 \text{ and } 2b \geq c}$$\) Hence, option D is the correct answer.

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