In a study of coronary heart disease among women : 3200 women are selected randomly and asked their level of physical activity and if they had coronary heart disease. 2000 women were found to have a low level of physical activity while the rest had a high level of activity. Of the women with low level of activity. 250 had coronary disease while in the other group there were 72 cases of coronary disease. A hypothesis test is carried out at 0.05 level of significance to test whether there is a significant difference in proportion of women who had coronary heart between two levels of physical activity. Construct the corresponding confidence interval for the test and interpret the results.

If Phil received £235 in the ratio 3:5, we can use this information to find out how much money was shared in total.

We know that the ratio of Samantha's share to Phil's share is 3:5.

This means that for every 3 parts of the total money that Samantha gets, Phil gets 5 parts.

We can use this information to set up a proportion:

(Samantha's share) / (Phil's share) = (3) / (5)

We know that Phil's share is £235, so we can substitute that into the proportion:

(Samantha's share) / (235) = (3) / (5)

To find the total amount of money shared, we can cross-multiply and divide:

Samantha's share = (3/5) * 235

Samantha's share = 141

To find the total amount of money shared, we can add the amount Samantha received to the amount Phil received:

141 + 235 = £376

Therefore, £376 was shared in total.

Answer:

Step-by-step explanation:

The equation for this surf instructors' price would be y = 8x + 12.

The y-intercept would be located at (0,12) as that is the initial price that the instructor charges before pricing hourly.

Hope this helps, but if you have any questions, please let me know. :)

The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.

In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):

Elasticity of labor = percentage change in quantity / percentage change in wage rate

0.60 = percentage change in quantity / 15 percent

Percentage change in quantity = 0.60 x 15 percent = 9.0 percent

Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.

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Answer: Its If r = 3 and t = 5, then d = 8.

Step-by-step explanation:

If d = rt

Then:

8 is not equal to 3X5

Because 3x5 = 15

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P < Q because 7.8 < 19.3

The density of the object does not change regardless of how much material the object has. A 100 gram block of iron will have the same density as a 200 gram block of iron. The density of iron will stay at 7.8 grams per cm^3. The same idea applies to the silver.

The density measures how packed a material is. The larger the density, the more molecules occupy the certain amount of volume.

A similar term is "population density" which measures how many people live in a certain area. It measures how packed a place is. A rural town will have low population density, while a big city has a high population density.

Answer:

16 boxes of Oreos

Step-by-step explanation:

229.75 - 13(6.25) - 6(4.75) = 229.75-81.25-28.5 = 120

120 ÷ 7.5 = 16

Answer:

THE ANSWER TO THE TOP LINE IS: 140

Step-by-step explanation:

why? becuase 10 times 10 is 100 all whole fractions need to be ?/100 (something over 100) so then becuase you did 10 times ten to find what 14 is you do 14 times 10. it should look like this :D.

10*10=100

14*10=140 .         140/100 is your answer or 140 :)

Answer:x=-13+1/5

Step-by-step explanation:

10x-18=15x+48

We move all terms to the left:

10x-18-(15x+48)=0

We get rid of parentheses

10x-15x-48-18=0

We add all the numbers together, and all the variables

-5x-66=0

We move all terms containing x to the left, all other terms to the right

-5x=66

x=66/-5

x=-13+1/5

Answer:

The fraction representing the number of bad oranges can be written as 6/30. This fraction can be simplified by dividing both the numerator and the denominator by 2, which gives us 3/15. This fraction is already in its lowest terms, so 3/15 is the final answer.

Step-by-step explanation:

Hey there!☺

\(Answer:\boxed{\frac{4}{33}}\)

\(Explanation:\)

\(\frac{1}{6}/1\frac{3}{8}\)

Let's divide both fractions.

\(\frac{1}{6}1/\frac{3}{8}=\frac{4}{33}\)

\(\frac{4}{33}\) is our final answer.

Hope this helps!

Answer:

P = 49

Step-by-step explanation:

The square root of 49 = 7

Answer:

49

Step-by-step explanation:

√p = 7

it means that p = 7×7 = 49

because √ p it means = √ a x a = a

hope you understand!

if not, I'll explain it

Answer: C

Step-by-step explanation:

Perpendicular lines are irrelevant. A is to create a triangle and to show 2 angles in the triangles are congruent. B is to prove the 2 triangles are congruen. D is to prove that AC and BD are congruen. no where is perpendicular lines involved.

Answer:

Step-by-step explanation:

Previous balance Payments Purchases Finance charge New Balance ... 2. Suppose you have a balance of $13,000 on your credit card which has an APR of 22%.

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

This leads to...

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\)

Now use those roots to form these steps

\(x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0\)

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

Answer:

800

Step-by-step explanation:

Our students selected 50 residences at random. We discovered that owners live in 26 homes. By the way, we might use this to calculate our sample proportion. The result will be 26 out of 50 and.52. We're going to do an experiment to see if the proportion of owner-occupied homes in your neighbourhood is different from the national average using hypotheses.

The test result will be the null hypothesis. The true percentage being 69 is the null hypothesis. A distinct theory serves as the alternative. According to the inquiry, we are attempting to ascertain whether the community differs from the country. I will admit that 0.69 is not the true proportion. The test statistic must be located. Since this is an example Z test, we are able to use the calculator function in the tests. Sure, window. If we went to the tests and clicked the stat, we would find the single proportion Z. It's a test, really. The Christmas portion cost 69. We have 26 successes out of 50 samples. Since the genuine percentage is different from.69 in our alternative, proportion does not equal no proportion. Our final result will be a negative Z score of 2.599. We receive a p value of 9 from the window. We'll decide on a conclusion. We will contrast our significance level with the p value. It does not provide a relevance level for this issue. We'll only apply 5%. So, we would reject the null hypothesis if our p value is lower than the significance level, correct? Obtaining the sample proportion is necessary. If the null hypothesis is correct, it's a very uncommon occurrence, and we have evidence that the proportion of owner-occupied homes in our community is higher than the national average.

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

C. Point S

Step-by-step explanation:

Answer: It would be 81.

Step-by-step explanation: Given that, 3 to the power of 4

According to the rule of exponents and powers:

3 to the power of 4 can be written as 34

Where the number 3 is called the base, whereas 4 is the power/indices/exponent of the expression.

Therefore, we can rewrite 34 = 3 × 3 × 3 × 3

So, 3 × 3 × 3 × 3 = 81

Help from CueMath

The probability of a 20-year flood occurring next year is approximately 5%.

In probability analysis, a "20-year flood" refers to a flood event that has a 1 in 20 chance of occurring in any given year.

This probability is often expressed as a percentage, which in this case is approximately 5%. The term "20-year flood" is derived from the assumption that, on average, such a flood will occur once every 20 years.

To determine the probability of a 20-year flood occurring in a specific year, we rely on historical data and statistical analysis.

Hydrologists and engineers study past flood events, gathering data on their frequency and magnitude. This information is used to develop flood frequency curves, which show the probability of different flood magnitudes occurring within a given time frame.

The probability of a 20-year flood occurring next year is calculated based on these flood frequency curves. It represents the likelihood of a flood event reaching or exceeding the magnitude associated with a 20-year return period within the next year.

While the probability is estimated, it is important to note that it is not a guarantee. Flood events are influenced by various factors, including weather patterns, land use changes, and local conditions, which can introduce uncertainties into the predictions.

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The probability that abc ab a is divisible by 3 is 13/27.

Probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We group this into groups of 3, because 3|2010. This means that every residue class mod 3 has an equal probability.

If 3|a, we are done. There is a probability of 1/3 that that happens.

Otherwise, we have 3 | bc + b + 1, which means that b (c + 1 ) = 2  mod{3}. So either

b = 1     mod (3)          c = 1     mod (3)

or

b = 2    mod (3)          c = 0     mod (3)

Which will lead to the property being true. There is a 1/3 * 1/3 = 1/9 chance for each bundle of cases to be true.

Thus, the total for the cases is 2/9. But we have to multiply by 2/3 because this only happens with a 2/3 chance. So the total is actually 4/27.

The grand total is

1/3 + 4/27  = 13/27

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Only matrices of the same size can be added or subtracted.

A matrix is a rectangular array of numbers and is composed of rows and columns. In order to add or subtract matrices, the matrices must have the same number of rows and columns. If the matrices do not have the same size, they cannot be added or subtracted.

For example, if one matrix is a 2x3 matrix, the other matrix must also be a 2x3 matrix. Similarly, if one matrix is a 3x2 matrix, the other matrix must also be a 3x2 matrix. The numbers in each matrix may vary, but the size of the matrices must be the same for the operation to be valid.

When adding or subtracting matrices, the numbers in the same position (row and column) are added or subtracted. For example, if one matrix is [[1,2,3], [4,5,6], [7,8,9]] and the other matrix is [[2,4,6], [8,10,12], [14,16,18]], the resulting matrix would be [[3,6,9], [12,15,18], [21,24,27]].

Adding and subtracting matrices is a useful tool in mathematics and is often used to solve equations and simplify complex problems. It is important to remember that only matrices of the same size can be added or subtracted.

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To determine if yp = xe^(-2x) is a particular solution of y'' + 4y' = -4xe^(-2x), substitute yp into the differential equation and verify the equality. Since this equation is not satisfied for all values.

To determine if yp = xe^(-2x) is a particular solution of the given differential equation y'' + 4y' = -4xe^(-2x), we substitute yp into the equation.

First, we calculate the derivatives of yp:
yp' = (1 - 2x)e^(-2x) and yp'' = (-2 + 4x)e^(-2x).

Substituting these derivatives into the differential equation, we have:
(-2 + 4x)e^(-2x) + 4(1 - 2x)e^(-2x) = -4xe^(-2x).

Simplifying the equation, we get:
-2e^(-2x) + 4xe^(-2x) + 4e^(-2x) - 8xe^(-2x) = -4xe^(-2x).

Combining like terms, we have:
2e^(-2x) - 4xe^(-2x) = 0.

Since this equation is not satisfied for all values of x, yp = xe^(-2x) is not a particular solution of the given differential equation.

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Answer:

?

Step-by-step explanation:

Answer:

option B

-5/2

Step-by-step explanation:

______________________

40,000 is 10 times as much as 4,000.

First, let us know about place value:

Place value is the value provided by a digit in a number based on its place in the number. For example, 5 hundred or 500 is the place value of 5 in 4,524. The place value of 8 in 8,359 is, nevertheless, 8 thousand or 8,000.

Also, let us understand about patterns;

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and so on. The Pattern can be associated with any kind of event or object. A pattern is defined as a set of integers that are related to one another in a specified way. Patterns are sometimes referred to as sequences.

Now,

Let the number be x.

So,

x * 10 = 40,000

x = 40,000/10

x = 4,000

So, the required number is x.

Thus, 40,000 is 10 times as much as 4,000.

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The Nash equilibrium output for a single Cournot firm with the following characteristics: P=400−2Q TC=40q_i is 45.

The reaction function for a Cournot firm with the following characteristics: P=400−2Q RC=40q_i is qi=90−1/4q_j.

The Nash equilibrium output for a Cournot firm is the output level that maximizes the firm's profit given the output level of the other firm. In this case, the firm's profit is maximized when it produces 45 units of output.

The reaction function for a Cournot firm is the output level that the firm produces as a function of the output level of the other firm. In this case, the firm produces 90 - 1/4 * q_j units of output, where q_j is the output level of the other firm.

Here is a more detailed explanation of the calculation of the Nash equilibrium output:

The firm's profit is calculated as follows:

Profit = (Price * Output) - (Total Cost)

In this case, the price is 400 - 2Q, the output is q_i, and the total cost is 40q_i.

To maximize the firm's profit, we can differentiate the profit function with respect to q_i and set the derivative equal to zero.

dProfit/dq_i = (400 - 2Q) - 80 = 0

Solving for q_i, we get q_i = 45.

Here is a more detailed explanation of the calculation of the reaction function:

The reaction function is calculated by setting the firm's profit equal to zero and solving for q_i.

Profit = (Price * Output) - (Total Cost) = 0

(400 - 2Q) - 40q_i = 0

Solving for q_i, we get q_i = 90 - 1/4 * q_j.

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There is one value greater than 148.25, which is 96. the value of 96 is considered an outlier in this Dataset.

To identify outliers in a dataset, we need to first calculate the interquartile range (IQR) and then use the following rule:Any data value less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR is considered an outlier.

To find Q1 and Q3, we first need to order the data:

21, 40, 52, 58, 72, 75, 96

The median of the entire dataset is (58 + 72)/2 = 65, so Q2 (the second quartile) is 65.

The lower quartile Q1 is the median of the lower half of the data, which is:

21, 40, 52, 58

The median of this data is (40 + 52)/2 = 46, so Q1 is 46.

The upper quartile Q3 is the median of the upper half of the data, which is:

72, 75, 96

The median of this data is (75 + 96)/2 = 85.5, so Q3 is 85.5.

Now we can calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 85.5 - 46 = 39.5

Using the rule for outliers, any data value less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR is considered an outlier.

Q1 - 1.5 * IQR = 46 - 1.5 x 39.5 = -23.25

Q3 + 1.5 * IQR = 85.5 + 1.5 x 39.5 = 148.25

Therefore, any data value less than -23.25 or greater than 148.25 is an outlier.

In this case, there are no values less than -23.25, but there is one value greater than 148.25, which is 96. Therefore, the value of 96 is considered an outlier in this dataset.

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Answer:

The 3rd answer

Step-by-step explanation:the

180-30\2

....

=75

30+2*75=

...

180

Answer:

30 + 2x = 180

Step-by-step explanation:

This is becuase we know this triangle is an isosceles triangle. (The two markings on the sides prove that.) An isosceles triangle is when two sides (so naturally also two angles) are the same. This means the other angle is x. We know that if we add all of the angles, we'll get 180. So, 30 + x + x = 180 or "30 + 2x = 180".

Also, x = 75.

Here:

30 + 2x = 180

30 - 30 + 2x = 180 - 30

2x = 150

2x / 2 = 150 / 2

x = 75

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