subtract the following questions​

If the variances of each group are found to be similar using an appropriate statistical test, then we can assume that the variance in each group is the same.

Many statistical tests, such as the two-sample t-test, require the assumption of equal variances. If the variances are not equal, the findings of the test may be erroneous, resulting in wrong conclusions. As a result, it is critical to examine the variances before running the statistical tests. There are several statistical methods available to assess variance equality, including Levene's and Bartlett's tests.

These tests assess the variability within each group to see if they are statistically different. If the test p-value is larger than the significance level, which is commonly 0.05, we fail to reject the null hypothesis and assume equal variances in each group.

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By the symmetric property of congruence is  ∠FSJ ≅∠UPR.

It is required to find the solution.

Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other.

Given:

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

According to given question we have,

This idea can be extended to congruences because congruent angles have the same measure.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

So, ∠UPR ≅∠FSJ, then ∠FSJ ≅∠UPR.

Therefore, by the symmetric property of congruence is  ∠FSJ ≅∠UPR.

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Answer:

2x + 5x - 4 + 1​

basic addition of terms together

( 2 + 5 ) x + ( -4 + 1 )

7x - 3

A. The probability that exactly 5 adults meet the criteria for hypertension is approximately 0.0916 or 9.16%.

B. The probability that none of the adults meet the criteria for hypertension is approximately 0.0255 or 2.55%.

C.  The probability that less than or equal to 7 adults meet the criteria for hypertension is approximately 0.9999 or 99.99%.

To calculate the probabilities,

Use the binomial probability formula.

The binomial probability formula is,

P(X = k) = C (n ,k) × \(p^k\) × \((1 - p)^{(n - k)\)

Where,

P(X = k) is the probability of exactly k successes

n is the number of trials

k is the number of successes

p is the probability of success in a single trial

(1 - p) is the probability of failure in a single trial

C(n, k) represents the binomial coefficient,

which can be calculated as n! / (k! × (n - k)!)

A. To calculate the probability that exactly 5 adults meet the criteria for hypertension,

n = 15 (number of adults assessed)

k = 5 (number of adults meeting the criteria)

p = 0.30 (probability of meeting the criteria)

A. Probability that exactly 5 adults meet the criteria for hypertension,

n = 15

k = 5

p = 0.30

P(X = 5) = C( 15, 5) × 0.30⁵ × (1 - 0.30)¹⁵⁻⁵

Using the binomial coefficient formula C (n ,k) = n! / (k! × (n - k)!), we have,

(¹⁵C₅) = 15! / (5! × (15 - 5)!) = 3003

P(X = 5) = 3003 × 0.30⁵ × 0.70¹⁰

Calculating the probability,

P(X = 5) = 0.0916 (approximately)

B. Probability that none of the adults meet the criteria for hypertension,

n = 15

k = 0

p = 0.30

P(X = 0) = (¹⁵C₀) × 0.30⁰× (1 - 0.30)¹⁵⁻⁰

(¹⁵C₀) = 1 (since choosing 0 from any set results in 1)

P(X = 0) = 1 × 0.30⁰ × 0.70¹⁵

Calculating the probability,

P(X = 0) = 0.0255 (approximately)

C. Probability that less than or equal to 7 adults meet the criteria for hypertension,

n = 15

k = 0, 1, 2, 3, 4, 5, 6, 7

p = 0.30

P(X ≤7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

Calculate each individual probability using the binomial probability formula and sum them up.

P(X ≤7) = (¹⁵C₀) × 0.30⁰ × 0.70¹⁵ + ¹⁵C₁× 0.30¹× 0.70¹⁴+ (¹⁵C₂) × 0.30²× 0.70¹³ + (¹⁵C₃) × 0.30³ × 0.70¹² + (¹⁵C₄) ×0.30⁴ × 0.70¹¹ + (¹⁵C₅) × 0.30⁵× 0.70¹⁰ + (¹⁵C₆) × 0.30⁶× 0.70⁹ + (¹⁵C₇) × 0.30⁷ ×0.70⁸

Calculating the probability,

P(X ≤ 7) ≈ 0.9999

Therefore, the probabilities for different conditions are,

A. For exactly 5 adults is 0.0916 or 9.16%.

B. For none of the adults is 0.0255 or 2.55%.

C. less than or equal to 7 adults is 0.9999 or 99.99%.

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A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number can only be divided evenly by 1 and itself.

To find the multiples of a prime number, you can use the following steps:

For example, if the prime number is 5, the multiples of 5 are 5, 10, 15, 20, 25, and so on.

It's important to note that a prime number only has two divisors: 1 and itself. This means that a multiple of a prime number will never be a prime number.

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Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

The second cylindrical container with a base radius of 14 inches and height of 7 inches requires more metal.

For the first container with a base radius of 7 inches and height of 14 inches:

The area of each base is

= π x 7²

= 49π square inches.

and,  lateral surface area is

= 2π x 7 x 14

= 196π square inches.

So, total surface area = 2(49π) + 196π = 294π square inches.

For the second container with a base radius of 14 inches and height of 7 inches:

The area of each base is

= π x 14²

= 196π square inches.

and,  lateral surface area is

= 2π x 7 x 14

= 196π square inches.

So, total surface area = 2(196π) + 196π = 588π square inches.

Comparing the two surface areas, we can see that the second container requires more metal, as its surface area is greater.

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The three statements are correct about any business organization is

a) The ultimate goal of a business is to make profits.

b) Customer loyalty has little impact on a business’s revenue.

c) Customer service adds to a business’s profitability in the long run.

What is Revenue?

Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.

Concept:

The process of identifying and grouping the work to be done, defining and allocating responsibility and authority, and building relationships in order to enable individuals to collaborate most effectively in order to achieve goals is known as organization.

The organizational process gives workers the ability to make choices that benefit their development. They are constantly prepared to take on new difficulties. This circumstance may support the growth of the company. This contributes to the enterprise's growth by enhancing its earning potential.

Over time, providing good customer service increases a company's profits.

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Answer:

1 : 10

Step-by-step explanation:

Answer:

rectangle, square, and trapezoid

Step-by-step explanation:

The solutions to the equation (x+2)² = 3131 - 2x are:-x = (-3 + √9385) and x = (-3 - √9385)

How to solve a equation?

To solve the equation (x+2)² = 3131 - 2x, we need to first simplify the left-hand side of the equation using the formula (a+b)² = a² + 2ab + b². Applying this formula to the left-hand side of the equation, we get:

x² + 4x + 4 = 3131 - 2x

Now, we can rearrange the equation to get all the terms on one side:

x² + 6x - 3127 = 0

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 6, and c = -3127. Plugging in these values, we get:

x = (-6 ± √(6² - 4(1)(-3127))) / 2(1)

x = (-6 ± √(37540)) / 2

Simplifying further, we get:

x = (-3 ± √9385)

So, the solutions to the equation (x+2)² = 3131 - 2x are:

x = (-3 + √9385) and x = (-3 - √9385)

These solutions cannot be simplified further, so we can leave them in this form.

In summary, to solve the equation (x+2)² = 3131 - 2x, we simplified the left-hand side of the equation using the formula (a+b)² = a² + 2ab + b².

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Answer:

4x - 7

Step-by-step explanation:

To evaluate f(g(x)) substitute x = g(x) into f(x)

f(g(x)

= f(4x - 2)

= 4x - 2 - 5

= 4x - 7

Answer:

1

Step-by-step explanation:

3+2-(6-(1+1)

3+2-(6-2)

3+2-4

1

Answer:

1.

Step-by-step explanation:

i got confused me explaining it but I can verify the answer is 1.

Answer:

i need help please with my maths

Step-by-step explanation:

Answer:

She made the 6 into a five to make the 0 a 1 too early, because 24 can go into 60 twice, but in order to subtract the 8, you would then have to make the 6 into a 5 as well as the 0 into a 1.

Step-by-step explanation:

6048 divided by 24 is 252

Answer:

A) 2x + y = -5

D) -2x = y

E) 2d = 4 - y

Step-by-step explanation:

Answer:

The answers you are looking for is.... A) 2x + y = -5

D) -2x = y

E) 2d = 4 - y

Step-by-step explanation:

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

To find an equation in general form for the plane passing through the point (-2, -3, 3) that is perpendicular to the line L(t) = (3t - 3, -5 - t, -5t), we need to determine the normal vector of the plane.

The line L(t) is given by the parametric equations: x = 3t - 3, y = -5 - t, z = -5t.The direction vector of the line is (3, -1, -5), which represents the coefficients of t in the parametric equations.

To find the normal vector of the plane perpendicular to the line, we take the coefficients of t and change their signs, resulting in (-3, 1, 5). This vector is perpendicular to the line and thus represents the normal vector of the plane.

Now we can use the point-normal form of the equation of a plane to find the equation. The equation is given by:

-3(x - (-2)) + 1(y - (-3)) + 5(z - 3) = 0

Simplifying the equation:

-3x + 6 + y + 3 + 5z - 15 = 0

-3x + y + 5z - 6 = 0

Finally, rearranging the terms to match the general form of a plane equation:

-3x + y + 5z = 6

Therefore, an equation in general form for the plane passing through the point (-2, -3, 3) and perpendicular to the line L(t) = (3t - 3, -5 - t, -5t) is -3x + y + 5z = 6.

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Answer:

√5(√5 + √20)

= √5√5 + √5√20

= √25 + √100

= 5 + 10

= 15

A statistic is, 4.13%.

Given that;

On Feb. 19th, 2010, 4.13% of the randomly selected spots had potamogeton (a type of seagrass)

Since, A parameter is a value that is determined from all of the data, whereas a statistic is a value that is produced from a sample of the data.

Here, The percentage of spots containing portamento in this instance was solely determined from a randomly chosen sample, making it a statistic.

Hence, It would be a parameter if the percentage was determined using the whole population of spots.

Thus, 4.13% is a statistic.

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Answer:

W = width

L = length = 2W + 3

P = 36 = 2W + 2L = 2W + 2(2W + 3) =

6W + 6 = 36

6W = 30

W = 5

L = 13

Answer:

C

Step-by-step explanation:

A 1 2-liter bottle for $0.89

1 liter = .89 /2 = $0.445

B 3 1-liter bottles for $1.50

1 liter = $1.50/3 = $0.50

C 24 0.5-liter bottles for $5.25

1 liter = 5.25 / 12  = $0.4375

D 36 0.25-liter bottles for $4.75

1 liter = $4.75 / 9  = $0.53

Give me brainllest

Answer:

C is the best buy

Step-by-step explanation:

0.89/2 = 0.445

3 * 1 litre bottles = 3 litres

1.50/3 = 0.5

24 * 0.5 litres = 12 litres

5.25/12 = 0.4375

36 * 0.25 liters = 9 liters

4.75/9 = 0.52777777

The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

The magnetic field inside the central area of the solenoid is given by B = μ₀ni where

Since B = μ₀ni

Substituting the values of the variables into the equation, we have

B = μ₀ni

B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A

B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m

B = 84956π × 10⁻⁷ T

B = 266897.15 × 10⁻⁷ T

B = 0.026689715 T

B ≅ 0.0267 T

So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

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The magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T

Magnetic field = permeability constant x relative permeability x turn density x current

B = \(k\mu_0nI = \mu nI\)

where turn density is calculated as:

n = N/L

Where N represents the number of turns of the wire and

L represents the length of the solenoid.

Assuming that the solenoid is placed in vaccum, we have:

\(\mu = k\mu_0 = \mu_0 = 4\pi \times 10^{-7} \: \rm T m/A\)

And it is given that:

Thus, we get:

\(B = \mu n I = 4\pi \times 10^{-7} \times 3170 \times 6.7 \approx 2.67 \times 10^5 \times 10^{-7} \\\\B = 2.67 \times 10^{5 + (-7)}B = 2.67 \times 10^{-2} \: \tm T\)

Thus, the magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T

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Answer:

There are 77 more third graders than there are second graders.

Step-by-step explanation:

You just have to subtract 338 from 415 to get your answer.

Answer:

80 dollars?

Step-by-step explanation:

4*20=80

Hector's goal is to reach a 10-kilometer run, and he plans to increase his distance by 0.5 kilometers every Saturday. By analyzing Hector's calculations, we can determine that the equation equivalent to his calculations is 2.5 + 0.5x = 10, where x represents the number of weeks. Using this equation, we can find the number of weeks it will take Hector to reach his goal of a 10-kilometer run, which is 14 weeks.

Hector's calculations show a pattern of adding 0.5 kilometers to his distance each week. We can express this pattern using the equation 2.5 + 0.5x = 10, where x represents the number of weeks. The left side of the equation represents Hector's total distance covered, while the right side represents his goal of running 10 kilometers.

To find the number of weeks it will take Hector to reach his goal, we solve the equation for x. Rearranging the equation, we have:

0.5x = 10 - 2.5

0.5x = 7.5

Dividing both sides of the equation by 0.5:

x = 7.5 / 0.5

x = 15

Therefore, it will take Hector 15 weeks to reach a 10-kilometer run.

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Point estimate from the sample is 0.985, margin error is 0.003.

Confidence interval is defined as the interval which is the estimate for the parameter of the sample or population to be contained.

(a) To calculate point estimate or sample mean :

Point estimate is the mid point of the confidence interval.

Given that true mean weight of candy bars is 0.982 ounces to 0.988 ounces.

Point estimate = (0.982 + 0.988) / 2 = 1.97 / 2 = 0.985

(b) Margin error is the one half of the total width of the interval.

Margin error = (0.988 - 0.982) / 2 = 0.003

(c) The confidence level of 90% in this problem can be interpreted as , if we do the interval construction for many times, about 90% of the total constructed intervals has the true population mean of weight of fun size candy bars.

Hence the point estimate and margin error are 0.985 and 0.003 respectively.

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The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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Answer:

4.5

Step-by-step explanation:

For any triangle, the basic principle for these types of problems is that the sum of the 2 shorter sides has to be greater than the longest side, otherwise it is not a triangle, even if it's equal to the longest side.

So, let's look at the first option. 4.5. Since this is an isosceles triangle and the base is 8.8 units, the other side has to be 4.5 as well. 4.5+4.5=9. 9 > 8.8. So, we can immediately eliminate options 8.9 and 17.7. What about 4.3? Well, 4.3+4.3= 8.6, but 8.6 < 8.8, so 8.6 is wrong. So, the answer is 4.5.