The figure shows two semicircles centered at G and H. Point B is on both semicircles. Line DF touches each circle at one point only, points F and E. If DE = 4 and EF = 8, what is the scale factor applied when triangle DEH is dilated to make triangle DFG?

The probability of selecting two marbles with the same color is approximately 0.27 or 27%.

To work out the likelihood that the two marbles drawn have similar variety, we can utilize the accompanying advances:

In the first place, we compute the likelihood of drawing a red marble on the principal pick: 12/24 = 1/2.

On the off chance that the main marble drawn is red, there will be 11 red marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more red marble on the subsequent pick is 11/23.

Likewise, in the event that the principal marble drawn is blue, there will be 4 blue marbles left clinched, out of a sum of 23 marbles. So the likelihood of drawing one more blue marble on the subsequent pick is 4/23.

Furthermore, on the off chance that the main marble drawn is yellow, there will be 6 yellow marbles left taken care of, out of a sum of 23 marbles. So the likelihood of drawing one more yellow marble on the subsequent pick is 6/23.

To get the complete likelihood of drawing two marbles of similar variety, we want to add the probabilities of every one of these cases:

(1/2) x (11/23) + (5/24) x (4/23) + (7/24) x (6/23) = 55/138 or roughly 0.398 or 39.8%.

In this way, the likelihood of drawing two marbles of a similar variety is roughly 39.8%.

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Use an independent samples t-test to compare annual household income between homeowners and renters, considering within-group variability and determining statistical significance.

To look at the distinction in the normal yearly family pay between the people who own their own homes and the individuals who lease, a suitable factual test to utilize would be an autonomous examples t-test.

This test is utilized to think about the method for two autonomous gatherings, for this situation, the gathering of property holders and the gathering of tenants.

As the family pay is estimated on a proportion scale, the t-test can be utilized to decide whether there is a huge distinction in the method for the two gatherings, considering the changeability inside each gathering.

The consequences of the t-test will give a p-esteem, which can be utilized to decide the factual meaning of any distinctions tracked down between the two gatherings.

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The probability of getting 1, 2, or 3 at the most 9 times after rolling a fair die 12 times is given by 0.9807.

Probability that 1, 2, or 3 is rolled at most 9 times,

Consider all the possible outcomes of rolling a fair die 12 times.

Count the number of outcomes where 1, 2, or 3 is rolled at most 9 times.

Use the complementary probability,

Probability that 1, 2, or 3 is rolled more than 9 times,

Then subtract that probability from 1 .

Let X be the number of times 1, 2, or 3 is rolled in 12 rolls.

Then X follows a binomial distribution with n=12 and p=1/2,

Since there are 3 favorable outcomes out of 6 possible outcomes on each roll.

The probability that 1, 2, or 3 is rolled more than 9 times can be calculated as follows,

P(X > 9) = P(X = 10) + P(X = 11) + P(X = 12)

= (¹²C₁₀) (1/2)^10 (1/2)^2 + (¹²C₁₁) (1/2)^11 (1/2)^1 + (¹²C₁₂) (1/2)^12 (1/2)^0

= 66/2^12 + 12/2^12 + 1/2^12

= 79/2^12

Probability that 1, 2, or 3 is rolled at most 9 times is,

P(X ≤ 9)

= 1 - P(X > 9)

= 1 - 79/2^12

= 4017/2^12

Rounding this to four decimal places gives,

P(X ≤ 9) ≈ 0.9807

Therefore, the probability that 1, 2, or 3 is rolled at most 9 times is approximately 0.9807.

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If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

To determine the remaining amount of money available left to buy gummy bears, we have to find the amount of money already spent on jelly beans.

Amount of money spent on jelly beans;

= 7/4 × 3.90

= 6.825

Amount of money left for gummy bears ;

= 15-6.825

= 8.175

Thus, Pounds of gummy bears bought = 8.175 ÷ 5.25

                                                    = 1.55 pounds

Hence, If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.

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The correct statement regarding the middle 50% of the data-set is given as follows:

C. The box, from 41 to 56.

A box and whisker plots shows these five features from a data-set, listed as follows:

The box, from the 25th percentile of 41 to the 75th percentile of 56, shows the middle 50% of the data-set.

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The coordinates for PLUTO are P(3,2), L(5, -2), U(1, -6), T-3, -2) and O(-1, 1)

When a figure is rotated 90 degrees clockwise about the origin, its new coordinates are found by switching the x and y values of each point and then negating the new x value. This means that if a point had coordinates (x, y) in the original figure, its new coordinates in the rotated figure would be (-y, x).

Using this information, we can find the coordinates of each vertex of PLUTO by working backwards from the coordinates of the vertices of P'L'U'T'O'. For example, the coordinates of P can be found by negating the y-coordinate of P' and switching the x and y values. Applying this formula to P'(2,-3) gives us P(3,2).

Similarly, the coordinates of L can be found by negating the y-coordinate of L' and switching the x and y values. Applying this formula to L'(-2,-5) gives us L(5,-2).

Then for the other coordinates are calculated based on then we get the following,

U'(-6,-1) is U(1, -6)

T'(-2,3) is (-3, -2)

and O'(1,1) is (-1, 1).

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The means of two or more populations being equal is determined by a statistical approach for the ANOVA procedure. Option B is correct.

The ANOVA (Analysis of Variance) procedure is a statistical method used to determine whether there is a significant difference between the means of two or more groups. To statistically test the equality of means ANOVA uses F-tests.

The repeated-measures ANOVA is a two-stage process that is described as an analysis of dependencies. This test is used to prove an assumed cause-effect relationship between variables. The conditions that must be met for the results of an ANOVA are Independence, Random Sampling, Large Sample Size, and Normality.

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Answer:

The relationship between the mass m in kilograms of an organism and its metabolism p in calories per day can be represented by p = 73.3m³ . To find the metabolism of an organism that has a mass of 16 kilograms, we can substitute m = 16 into the equation:

p = 73.3m³ p = 73.3(16)³ p = 73.3(4096) p = 299,648 calories per day

Therefore, an organism with a mass of 16 kilograms has a metabolism of 299,648 calories per day.

I hope that helps!

Step-by-step explanation:

An organism with a mass of 16 kilograms has a metabolism of 299,708.8 Calories per day according to the given relationship.

We can use the given formula to find the metabolism P of an organism with a mass of 16 kilograms:

P = 73.3m³

where m = 16 kg

Substituting the value of m:

P = 73.3(16)³

P = 73.3(4096)

P = 299,708.8 Calories per day.

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Answer:

[tex]\frac{1}{4}[/tex]w + 3

Step-by-step explanation:

Helping in the name of Jesus.

Answer:

Yo, when you adding or subtracting mixed numbers with the same denominators, the numerators stay chill, they don't change, bro.

But the denominators, they also stay the same, man. It's like keeping things consistent, ya feel me? So the answer is A, dude. Numerators stay put, denominators stay put. It's all good vibes, bro! ✌️

Answer: A

Step-by-step explanation:

Answer:

Yo, my dude is bringing half a crate of popsicles to the picnic. When we split it up into 6 ice buckets, each bucket gonna get a fair share, man. It's gonna be like dividing the remaining popsicles evenly among the buckets, so each bucket gonna have like a fraction of the crate, you feel me? It's gonna be all chill, bro! Each ice bucket gonna get like 1/6 of the crate, straight up! Easy peasy, lemon squeezy!

The trigonometric ratios with respect to the angle C are:

sin(C) = 15/17, cos(C) = 8/17, tan(C) = 15/8, cosec(C) = 17/15, sec(C) = 17/8, cot(C) = 8/15

Trigonometric ratios are ratios of the sides of a right triangle used to calculate angles and side lengths.

The three main ratios are sine, cosine, and tangent, which are defined as the ratios of the opposite, adjacent, and hypotenuse sides.

Using the right triangle ABC, we can find the trigonometric ratios with respect to angle C:

sin(C) = opposite/hypotenuse = AB/AC = 15/17

cos(C) = adjacent/hypotenuse = BC/AC = 8/17

tan(C) = opposite/adjacent = AB/BC = 15/8

cosec(C) = 1/sin(C) = AC/AB = 17/15

sec(C) = 1/cos(C) = AC/BC = 17/8

cot(C) = 1/tan(C) = BC/AB = 8/15

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The cost of the shirt, in dollars, after the 30% discount is $17.50.

What is discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.

If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:

30% of $25 = 0.30 x $25 = $7.50

The discount amount is $7.50, so the new price of the shirt after the discount is:

$25 - $7.50 = $17.50

Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.

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The appropriate correlational technique when the underlying distribution of interval scores is violently skewed would be:

b. Spearman's rank correlation coefficient

When the distribution of interval scores is violently skewed, meaning that the data is not normally distributed and may have extreme values or significant departures from normality, Pearson's correlation coefficient (option a) may not be appropriate as it assumes a linear relationship between variables and normality of data.

Instead, Spearman's rank correlation coefficient (option b) is a more appropriate choice. Spearman's rank correlation coefficient is a non-parametric method that does not assume normality of data and is based on the ranks of data rather than the actual values. It measures the strength and direction of monotonic association between variables, making it suitable for data that may not meet the assumptions of Pearson's correlation coefficient.

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Complete Question

When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique should be:

a. Pearson's correlation coefficient

b. Spearman's rank correlation coefficient

c. Kendall's tau

d. Point-biserial correlation coefficient

e. Phi coefficient

The appropriate correlational technique when the underlying distribution of interval scores is violently skewed depends on the type of data and the research question, and may include non-parametric tests such as Spearman's rank correlation coefficient.

When the underlying distribution of interval scores is violently skewed, the appropriate correlational technique depends on the type of data and the research question.

If the data is bivariate (two variables) and both variables are continuous, then the appropriate correlational technique would be Spearman's rank correlation coefficient, which is a non-parametric test that measures the strength and direction of the association between two variables.

Spearman's rank correlation coefficient is used when the data is not normally distributed or when the relationship between the variables is not linear.

On the other hand, if one or both of the variables are dichotomous or categorical, then a different correlational technique may be more appropriate.

For example, if one variable is dichotomous and the other is continuous, a point-biserial correlation coefficient may be used.

If both variables are categorical, a chi-square test of independence or Cramer's V may be used.

It is important to note that the appropriateness of a particular correlational technique depends on the specific characteristics of the data and research question.

Therefore, it is recommended to consult with a statistician or data analyst to determine the most appropriate technique for a particular study.

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Answer:

small

Step-by-step explanation:

You can divide the number of mini candy bars over the price, and the lowest would be the smallest one, with 8.33.

Answer:

Step-by-step explanation:

[tex]\sqrt{40}[/tex] = [tex]\sqrt{4}[/tex] x [tex]\sqrt{10}[/tex] = [tex]2\sqrt{10[/tex]

[tex]\frac{20}{2\sqrt{10} }[/tex] = [tex]\frac{10}{\sqrt{10} }[/tex]

[tex]\frac{10}{\sqrt{10} } * \frac{\sqrt{10} }{\sqrt{10} } = \frac{10\sqrt{10} }{10} = \sqrt{10} }[/tex]

[tex]\frac{1}{\sqrt{2} } = \frac{1}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} } = \frac{\sqrt{2} }{2}[/tex]

From the above since [tex]\frac{20}{\sqrt{40} }[/tex]   is not equal to  [tex]\frac{1}{\sqrt{2} }[/tex] it implies that they are not the same

The number of students surveyed who plays an instrument is 114 students.

The ratio of students who play instruments to those who do not is 7/20, which means that out of every 7+20=27 students, 7 of them play an instrument and 20 of them do not.

If we know that 440 students were surveyed, we can set up a proportion to find the number of students who play an instrument:

7/27 = x/440

To solve for x, we can cross-multiply:

7 * 440 = 27 * x

3080 = 27x

x = 114.07

Since we can't have a fraction of a student, we should round up to the nearest whole number, which means that approximately 114 students surveyed play an instrument.

Therefore, the required answer is 114.

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The better definition of leg include the following: D. either of the two sides that form the right angle.

In Mathematics, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.

Generally speaking, the longest side (hypotenuse) of a triangle is equal to the sum of the square of two shorter sides (legs):

a² + b² = c²

Where:

a, b, and c represents the legs, side lengths or length of sides of a right angled triangle.

In conclusion, the legs in Mathematics simply refers to the opposite side and adjacent side of a right angled triangle.

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The correct option is the last one, they only surveyed their subscribers-.

The title is "most popular equipment among all campers", notice the word "all". The title claims that it is representing the whole population of campers.

But the sample does not represent all campers, because the sample is only the subscribers of that magazine, so we have a biased sample.

Then the correct option is the last one, they only surveyed their subscribers.

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Iam do not understand what do you mean 1335690964225753897426908224 1335690964225753897426908224 88 9 109 250 10 10 XL 220 10 10 30 250 30 30 30 400

The length of AC using the laws of sines is 29.5 inches

We can use the law of sines to solve this problem.

The law of sines states that in any triangle ∆ABC:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides opposite to the angles A, B, and C, respectively.

In this case, we know that m<A = 33°, m<C = 58°, and AB = 25 in.

We need to find AC, which is opposite to angle A.

Let's use the law of sines to solve for AC:

AC/sin(B) = AB/sin(C)

Where

B = 180 - 33 - 58

B = 89

So, we have

AC/sin(89°) = 25/sin(58°)

This gives

AC = 29.5 in. (rounded to the nearest tenth)

Therefore, the answer is 29.5 inches

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The expression 0.8p+1 and 1 + 0.8p are equivalent to (0.5p + 7) + (0.3p-6).

We can simplify the given expression by combining like terms:

(0.5p + 7) + (0.3p-6) = 0.5p + 0.3p + 7 - 6

= 0.8p + 1

Therefore, 0.8p + 1 is equivalent to (0.5p + 7) + (0.3p-6).

Similarly, we can simplify the given expression in another way:

(0.5p + 7) + (0.3p-6) = 0.5p + 0.3p + 7 - 6

= 0.8p + 1

The other options (1 + 0.8p, 7.5p-5.7) are not equivalent to the given expression.

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The null hypothesis for this test is that the 2 groups will not differ in terms of their suggested sentences.

The null hypothesis is a statement that there is no difference between the two populations or variables being tested.

It can be thought of as the "default" position, which assumes that any observed difference is due to chance.

The null hypothesis is usually written in a way that it can be tested and rejected or not rejected through statistical analysis.

The null hypothesis for this test is that the two groups will not differ in terms of their suggested sentences.

This means that any difference between the groups in their suggested sentences is due to chance and not a difference in the population or variables being tested.

This hypothesis can be tested and rejected or not rejected through statistical analysis.

If the two groups do differ in their suggested sentences then the null hypothesis will be rejected and it will be concluded that the difference is not due to chance but rather due to a difference in the population or variables being tested.

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The equation of the word problem is x-4n.

A word problem is a math problem written out as a short story or scenario. This mathematical statement are interpreted into mathematical equation or expression.

Representing the total number of sheep in the flock by x and representing the number of weeks by n. Therefore the remaining sheep in the flock for the number of weeks will be expressed as

x - 4n.

Therefore the equation for the word problem is x - 4n.

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The probability of Daria and Blake being chosen together is 1/15. So correct option is A.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probabilities can be expressed as fractions, decimals, or percentages.

The concept of probability is used in a wide range of fields, including mathematics, statistics, science, engineering, finance, and economics. It is used to make predictions and decisions based on uncertain outcomes.

The probability of an event can be calculated by dividing the number of ways the event can occur by the total number of possible outcomes. This is known as the classical definition of probability. Other methods of calculating probability include empirical probability, which is based on observations or experiments, and subjective probability, which is based on personal judgment or opinion.

The total number of ways to choose 2 guards from 6 volunteers is given by the combination formula:

C(6,2) = 6! / (2! * 4!) = 15

Out of these 15 possible combinations, there is only one way to choose Daria and Blake together. Therefore, the probability of Daria and Blake being chosen together is:

1/15

So, the answer is (A) 1/15.

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The center of gravity is located 96.7 inches aft of the datum.

To determine the location of the center of gravity (CG) of the system, we need to calculate the moment of each weight about the datum, and then divide the sum of the moments by the total weight of the system.

The moment of each weight is equal to its weight multiplied by its distance from the datum. In this case:

Moment of weight a = 140 pounds x 17 inches = 2,380 inch-pounds

Moment of weight b = 120 pounds x 110 inches = 13,200 inch-pounds

Moment of weight c = 85 pounds x 210 inches = 17,850 inch-pounds

The total weight of the system is:

Total weight = weight a + weight b + weight c = 140 + 120 + 85 = 345 pounds

Therefore, the location of the CG can be calculated as follows:

CG location = (Moment of weight a + Moment of weight b + Moment of weight c) / Total weight

CG location = (2,380 + 13,200 + 17,850) / 345

CG location = 33,430 / 345

CG location = 96.7 inches aft of datum

As a result, the center of gravity is 96.7 inches aft of the datum.

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