square root of 63 in simplest radical form

Answer:

i just need points

Step-by-step explanation:

sorrry ehburbvuygvuywhefe2b yvfb we

It is False if the mean of a data set is large, the standard deviation has to be large also as standard deviation doesn't depend on mean.

The statistical measure of standard deviation measures the degree of variance or dispersion among a group of data values. It displays the average difference between the values in a dataset and their mean.

False. A data set's mean and standard deviation are two different measures of the data, and neither one automatically indicates anything about the other. By adding together all the values and dividing by the total number of values, the mean, which serves as a gauge of the data set's centre, is determined. By calculating the average deviation of each value from the mean, the standard deviation—a measure of the data's spread—is determined.

It is possible for a data set to have a large mean and a small standard deviation, a small mean and a large standard deviation, or any value in between. The values of the data collection determine everything.

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Hmmmm

This looks like homework, you sure you've read the terms of service?

Answer:

0.5

Step-by-step explanation:

we know , cos(90-α)=sinα

Given:sin(x)=0.5

So, cos(90-x)=sin(x)

                         =0.5

Therefore, cos(90-x)=0.5

Answer:

above sea level

Step-by-step explanation:

take your time and stay calm ok

There is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

\(H_{0} :p{1} -p_{2} =0\)

\(H_{1}:p_{1} -p_{2} < 0\)

We have to find the respective probabilities.

\(p_{1}\)=104/11037

=0.0094

\(p_{2}\)=189/11034

=0.0171

Now their respective margin of errors.

\(s_{1}\)=\(\sqrt{ {(0.0094*0.9906)/11037}\)

=0.0009

\(s_{2}\)=\(\sqrt{0.0171*0.9829}\)

=0.0011

Hence the distribution of the differences,they are given by:

p=\(p_{1} -p_{2}\)

=0.0094-0.0171

=-0.0077

S=\(\sqrt{s_{1} ^{2}+s_{2} ^{2} }\)

=\(\sqrt{(0.0009)^{2} +(0.0011)^{2} }\)

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

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Twenty people are to be divided into two teams with ten players on each team, number of ways this be done is 92378  

Combinations:

In mathematics, combination is the process of choosing a number of items from a given group of objects.

The combination of n things in 'a' time without repetition is given by

Here we have,

Twenty people need to be divided into two teams with ten players on each team  

The total number of ways that can be chosen is 10 people from a group of 20 people = ²⁰C₁₀  

= 20!/10!(20 - 10)!

= 20!/ 10! 10!

= 184756  

As we know need to divide them into 2 groups

The number of ways that can be done = 184756/2 = 92378  

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cross multiply

Solution

Using BODMAS to solve the fraction

Therefore the answer = -3/4

The number of packages of hot dogs is 4 hot dogs.

The number of packages of hamburgers is 5 hamburgers.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of hamburgers respectively, and then translate the word problem into algebraic equation as follows:

Since Mrs Vahey bought a total of 9 hot dogs or hamburgers, the linear equation to represent this is as follows:

x + y = 9

Additionally, hot dogs are $1.50 and hamburgers are $4, and she spent a total of $26;

1.50x + 4y = 26

Next, we would use an online graphing calculator to plot the above system of linear equations in order to determine the solution (point of intersection) as shown in the graph attached below.

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Step-by-step explanation:

435.5 X 5 = 2177.5 g are in the bag

The sample size increases, the 95% confidence interval becomes narrower because it provides a more precise estimate of the true population parameter.

Confidence interval is a range of values that estimates the true population parameter with a certain level of confidence. A 95% confidence interval means that if the same population is sampled multiple times, the calculated confidence interval will contain the true population parameter in 95% of the samples.

When the sample size increases, it provides more data points to estimate the population parameter. This increased sample size results in a smaller standard error, which is the standard deviation of the sample mean. A smaller standard error means that the sample mean is likely to be closer to the true population parameter, resulting in a narrower confidence interval.

Mathematically, the formula for the confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

Where the critical value depends on the desired level of confidence (e.g., 95%) and the standard error is calculated from the sample size. As the sample size increases, the standard error decreases, which means that the margin of error (the range between the sample mean and the critical value multiplied by the standard error) becomes smaller. Therefore, the confidence interval becomes narrower with a larger sample size.

Therefore, when the sample size increases, the 95% confidence interval becomes narrower because it provides a more precise estimate of the true population parameter.

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Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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The solution is, the quadrilateral ABCD is a trapezium.

In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side".

here, we have,

from the given figure we get,

the figure has four sides, which are not all equal, and, two of them are parallel to each other.

here we get,

angle A = angle C = 80

angle B = angle D = 100

and, two sides are parallel to each other.

Hence, The solution is, the quadrilateral ABCD is a trapezium.

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Answer:From the given information, we know that after sailing for 2 hours, Alvin and his friends are 10 miles from shore. This can be written as y = 10 when x = 2.

Since there is a proportional relationship between x and y, we can write an equation using this information: y = kx, where k is the proportionality constant.

Substituting the known values, we get: 10 = k * 2

Solving for k, we get: k = 10/2 = 5

So, the equation relating x and y is: y = 5x

To find their distance from shore after sailing for 3 hours, we can plug in x = 3 into the equation:

y = 5x

y = 5 * 3

y = 15

So, after sailing for 3 hours, Alvin and his friends are 15 miles from shore.

Step-by-step explanation:

Answer:

No solution.

Step-by-step explanation:

4(18g - 12) = 12(6g -4) + 4

4(18g) - 4(-12) = 12(6g) - 12(-4) + 4

72g + 48 = 72g + 48 + 4

72g + 48 = 72g + 52

72g -72g + 48 = 72g -72g + 52

48 = 52  This is a false solution so there is no solution.  No value for x will make this equation true.

Answer:

Correct option: B -> 36

Step-by-step explanation:

The surface area of a circular cone is given by the formula:

Surface area = pi * radius * (radius + slant height)

If the inicial radius is 4 in and the slant height is 9 in, we have:

Surface area = pi * 4 * (4 + 9) = 52pi in2

The radius and the slant height are multiplied by 6, so we have:

radius = 6 * 4 = 24 in

slant height = 6 * 9 = 54 in

So the new surface area is:

New surface area = pi * 24 * (24 + 54) = 1872pi in2

The factor of the surface areas is:

New surface area / Surface area = 1872pi / 52pi = 36

Correct option: B

Answer:

b

Step-by-step explanation:

A correlation of zero (r = 0) between two quantitative variables means that there is no linear relationship between them.

Correlation measures the strength and direction of the linear relationship between two variables. When the correlation coefficient (r) is zero, it indicates that there is no linear relationship between the variables. In other words, there is no systematic pattern or tendency for one variable to change as the other variable changes.

However, it is important to note that a correlation of zero does not necessarily imply that there is no relationship between the variables at all. There could still exist a nonlinear relationship, where the variables are related, but not in a straight line. For example, the variables could follow a curved pattern or exhibit a different type of association. Therefore, even though the correlation coefficient is zero, it does not imply a complete absence of any relationship between the variables.

In conclusion, a correlation of zero between two quantitative variables means that there is no linear relationship between them. However, it does not rule out the possibility of other types of relationships, such as nonlinear or non-monotonic associations.

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Answers:

a.   T(4, -3)

b.   T(-6, 5)

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

Explanation:

The "T" stands for "translation" (not transformation; even though a translation is a type of transformation).

When we say something like T(3,-2), we mean "move 3 units to the right and 2 units down". The first coordinate handles left/right movement. Positive for right, negative for left. It's just like what you'd encounter on an xy grid system. The second coordinate handles the up and down motions (positive = up, negative = down).

The notation T(3,-2) is basically the same as writing the rule \((x,y) \to (x+3,y-2)\)

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

It's perfectly possible to chain multiple translations together. The goal is to get it as one translation instead of two separate ones.

As you can probably guess, the T(1,-1) will have the point move 1 unit to the right and one unit down.

If we add 1 unit to the right on top of the x+3, then we bump it up to x+4

If we subtract 1 unit from the y-2, then we get to y-3

So we would go from \((x,y) \to (x+3,y-2)\)  to \((x,y) \to (x+4,y-3)\)

This then condenses to the shorter notation T(4,-3)

It says "move 4 units to the right and 3 units down.

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

An example is shown below involving the point (5,7).

The translation T(3,-2) moves point A to point B.

Then the translation T(1,-1) moves point B to point C.

We can directly move from A to C applying the translation T(4,-3).

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

All of that above explained part (a). Part (b) is the same idea, but with different numbers. The order of translations doesn't matter.

Instead of repeating the same steps as above, I'll just talk about the shortcut.

If we had two translations T(a,b) and T(c,d) composited together, then they simplify to T(e,f) where e = a+c and f = b+d. It's as simple as adding the two corresponding coordinates.

So T(-4,0) and T(-2,5) combine to T(-6,5).

The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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The hyperbolic equations can be represented as the second-order partial differential equations, which have two different characteristics in nature. These equations can be obtained by finding the solution for the Laplace equation with variable coefficients, which are used to describe the behavior of a certain physical system such as wave propagation, fluid flow, or heat transfer.

The second-order wave equation δu²/δt² = c² δ²u/δx² is a hyperbolic equation since it can be obtained by finding the solution of the Laplace equation with variable coefficients. The wave equation is a second-order partial differential equation that describes the behavior of waves. It has two different characteristics in nature, which are represented by two independent solutions.The first solution is a wave traveling to the right, while the second solution is a wave traveling to the left.

The equation is hyperbolic since the characteristics of the equation are hyperbolic curves that intersect at a point. This intersection point is known as the wavefront, which is the location where the wave is at its maximum amplitude.The wave equation has many applications in physics, engineering, and mathematics.

It is used to describe the behavior of electromagnetic waves, acoustic waves, seismic waves, and many other types of waves. The equation is also used in the study of fluid dynamics, heat transfer, and other fields of science and engineering. Overall, the second-order wave equation is a hyperbolic equation due to its characteristics, which are hyperbolic curves intersecting at a point.

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Answer:

ok

Step-by-step explanation:

Answer:

\((f-g)(x)=-4x^2+10x\)

Step-by-step explanation:

We are given the two functions:

\(f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1\)

And we want to find:

\((f-g)(x)\)

This is equivalent to:

\(=f(x)-g(x)\)

Substitute:

\(=(-x^2+6x-1)-(3x^2-4x-1)\)

Distribute:

\(=-x^2+6x-1+(-3x^2+4x+1)\)

Rearrange:

\(=(-x^2-3x^2)+(6x+4x)+(-1+1)\)

Combine like terms. Hence:

\((f-g)(x)=-4x^2+10x\)

Answer:

Below

Step-by-step explanation:

Standard charge = $ 10

  plus hourly charge   4 m    where 'm = hours

10 + 4m    needs to be at LEAST $ 50

10 + 4m ≥ 50      which can be re=arranged   Subtract 10 from both sides

      4m ≥ 40        now you can divide both sides by 4

       m ≥ 10   hours

The false positive and false negative rates for the medical test are given as:

A false positive is an outcome in which the model forecasts the positive class inaccurately. A real positive result is one in which the model accurately predicts the positive class.

To determine the false positives and false negatives of the tests, we use the principle of probability.

Probability (p) = Number of Favorable outcomes/Total number of Exhaustive outcomes

Recall that 240 of the 250 patients were accurately recognized. Also, 50 healthy people were diagnosed to have the ailment. Hence, the test's false positive (FP) and false negative (FN) rates can be estimated as follows:

Hence P (False Positive) = 50 / 750 = o.0667 or 6.67%

P (False Negative) = 10/750 = 0.0400 or 4.00%.

Therefore, the required rates are 6.67% and 4.00% accordingly.

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Full Question:

Testing the test Are false positives too common in some medical tests? Researchers conducted an experiment involving 250 patients with a medical condition and 750 other patients who did not have the medical condition. The medical technicians who were reading the test results were unaware that they were subjects in an experiment.

Question: Technicians correctly identified 240 of the 250 patients with the condition. They also identified 50 of the healthy patients as having the condition. What were the false positive and false negative rates for the test? (See table below)

                                        Medical patients             Other Conditions    Total

Correctly identified        240                                  700                            940

Incorrectly identified      10                                     50                              60

Total                                  250                                  750                            1000

Given that WY ≅ ZX where A is the midpoint of WY and A is the midpoint of ZX, It is true that  WA ≅ ZA

Given that WY ≅ ZX, with the particular symbol, triangle WYA is congruent to triangle ZXA by the Side-Side-Side (SSS) congruence property.

We know that A is the midpoint of WY, and that WA ≅ AY by the definition of midpoint.

In the same way,  since A is the midpoint of ZX, we know that ZA ≅ AX.

Hence, we can rewrite the congruence statement as follows

WA ≅ AY ≅ AX ≅ ZA

Because all the sides are congruent, we can conclude that WA ≅ ZA

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