what's the geometric mean of 2√3 and 3√3

Answer:

Angle 1 - 88 degrees

Angle 2- 42 degrees

Angle 3 - 113 degrees

please mark my answer brainliest

Problem 1

a^2+b^2 = 25^2+20^2 = 225+400 = 625

c^2 = 25^2 = 625

We get the same output of 625.

This shows that a^2+b^2 = c^2 is true for (a,b,c) = (15,20,25). We have a pythagorean triple and this is a right triangle. This is also scalene as all three sides are different lengths.

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Problem 2

a^2+b^2 = 3^2+3^2 = 18

while c^2 = 1^2 = 1

So a^2+b^2 = c^2 is not a true equation for this a,b,c set of values. We do not have a right triangle. Instead we have an acute triangle based on these rules below

We see that we have the form a^2+b^2 > c^2 since 18 > 1.

This acute triangle is also isosceles because a = b.

Answer:

Triangle A is a scalene triangle.

Triangle B is an isosceles triangle

Exaplanation for the 1st Answer:

A scalene triangle is a triangle whose all side lengths are different.

Triangle A has the side lengths are 15, 20, 25. All these lengths are different, so this is a scalene triangle.

Explanation for the 2nd Answer:

An isosceles triangle has 2 sides lengths the same and the other side length different. Triangle B has side lengths of 3, 3, 1. Two side lengths are same, but 1 side length is different. So, this is an isosceles triangle.

An integer to represent the change in the worker position is -78

Hence, An integer to represent the change in the worker position is -78

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Answer:

16 weeks

Step-by-step explanation:

10 ÷ 5 = 2, so she's able to sing 2 pieces per week

32 ÷ 2 = 16

The probability that one will be green and the other red is 2/19.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

Probability = Expected/Total outcome

We use combination because a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

The probability of selecting green = \(^{4} C_{1}\) = 4 ( as there are 4 green marble in the jar)

The probability of selecting red = \(^{5} C_{1}\) = 5  ( as there are 5 red marble in the jar)

Expected outcome = 4 * 5

                                = 20

Total marbles in the jar = 20 (10+5+4+1)

Total outcome = \(^{20} C_{2}\)

                        = \(\frac{20!}{(20-2)!.2!}\)

                        = \(\frac{20.19.18!}{18!.2!}\)

                        = \(\frac{20.19}{2}\)

                        = 190

The probability that one will be green and the other red will be -

= 20/190 or, 2/19

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Answer:

yes

Step-by-step explanation:

from the two sets of given points, we can conclude a translation of (x + 4, y + 0) occurred. when something is congruent the size and shape stay the same. translations only affect the location. therefore the answer is yes the transformation is congruent.

Answer:

The answer is 1490

Step-by-step explanation:

u just throw the two zeros from the hundred to the back

The correct answer is,

\(1490.0\)

Answer:

a

b

d

Step-by-step explanation:

im to lazy but subtract 180 and the others are equal just compare small angles to big ones and should equal 180

Answer: A, C, and D are correct

Answer:

Step-by-step explanation:

X = 90°

Answer:

2.5

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

0.5n = 1.25

n = 1.25÷0.5

n = 2.5

If two right triangles have congruent acute angles, then the triangles are similar.

Right Triangle Similarity Theorems are a set of geometric principles that relate to the similarity of right triangles.

Here are two examples of these theorems:

Angle-Angle (AA) Similarity Theorem:

According to the Angle-Angle Similarity Theorem, if two right triangles have two corresponding angles that are congruent, then the triangles are similar.

In other words, if the angles of one right triangle are congruent to the corresponding angles of another right triangle, the triangles are similar.

For example, if triangle ABC is a right triangle with a right angle at vertex C, and triangle DEF is another right triangle with a right angle at vertex F, if angle A is congruent to angle D and angle B is congruent to angle E, then triangle ABC is similar to triangle DEF.

Side-Angle-Side (SAS) Similarity Theorem:

According to the Side-Angle-Side Similarity Theorem, if two right triangles have one pair of congruent angles and the lengths of the sides including those angles are proportional, then the triangles are similar.

For example, if triangle ABC is a right triangle with a right angle at vertex C, and triangle DEF is another right triangle with a right angle at vertex F, if angle A is congruent to angle D and the ratio of the lengths of the sides AB to DE is equal to the ratio of the lengths of BC to EF, then triangle ABC is similar to triangle DEF.

These theorems are fundamental in establishing the similarity of right triangles, which is important in various geometric and trigonometric applications.

They provide a foundation for solving problems involving proportions, ratios, and other geometric relationships between right triangles.

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The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

A = P(1 + r/n)^(nt)

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

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Answer: C. Buenos Aries-Tucuman-Bahia Blanca-Salta-Buenos Aries

Step-by-step explanation:

Edg 2022

Answer:

Alexis: 2.5x

Gary: x

James: x + 18

Total: (2.5x) + (x) + (x + 18)

              = 4.5x + 18

Bonus:

4.5x + 18 = 1206

4.5x = 1188

    x = 264

Alexis: 2.5(264) = 660

Gary: 264

James: 264 + 18 = 282

Answer:

D) L+S=9 ; 6L+3S=9

Step-by-step explanation:

Given this information, we know that the total number of large and small Ubers must be 9, so we can eliminate choices A and C as the first part of the system of equations is L+S=9

Also, since the large Ubers can fit only 6 people per vehicle and the small Ubers can only fit 3 people per vehicle, then we can eliminate choice B as the second part of the system of equations is 6L+3S=39

Therefore, the only correct choice is D

The subject of the formula p = \(\frac{4-q}{-3}\)

It is a variable which is expressed in terms of other variables involved in the formula

make p the subject of the formula q- 2p = p +4

collect the like terms

-2p -p =4-q

-3p = 4- q

Divide both sides by -3

-3P/ -3 = 4 -q/ -3  

p = \(\frac{4- q}{-3}\)

Therefore, the subject of the formula p = \(\frac{4- q}{-3}\)

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer is d. The testable proposed relationship between the variables in the research hypothesis is: "Then people with a high exposure to UV light will have a higher frequency of skin cancer." This portion of the hypothesis specifically establishes the expected connection between UV light exposure and the occurrence of skin cancer, allowing for investigation and data collection to either support or refute the hypothesis.

A hypothesis is a tentative explanation for a phenomenon that is based on prior knowledge and observations. It is essential to have a testable hypothesis to ensure that the research study can be conducted in a rigorous and systematic manner. A testable hypothesis allows researchers to design experiments that can collect data to support or refute the hypothesis. Without a testable hypothesis, researchers may not be able to generate meaningful results that contribute to scientific knowledge.

A critical aspect of hypothesis testing is making clear and specific predictions about the relationship between the variables. In this case, the researchers are predicting that people with a high exposure to UV light will have a higher frequency of skin cancer. This prediction is specific because it defines the level of UV light exposure that is expected to lead to a higher frequency of skin cancer. It is also measurable because the frequency of skin cancer can be quantified through data collection. By making this clear and specific prediction, the researchers can test their hypothesis and determine whether the data support or refute their hypothesis.

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Answer:

P = 16w - 4

Step-by-step explanation:

P = (5w-2 + 3w)2

P = (8w-2)2

P = 16w - 4

Answer:

b. 156

Step-by-step explanation:

A "perfect square" is the product of an integer that is being multiplied by itself.

Choice a, 625, is a perfect square because it is the product of 25 multiplied by itself.

Choice b, 156, is not a perfect square because you cannot find any integer that can be multiplied by itself that will result in 156 as a product. Therefore, this is the correct answer.

Choice c, 196, is a perfect square because it is the product of 14 multiplied by itself.

Answer:

False. If the means of two groups are the same, it does not necessarily mean that the underlying distributions of the two groups are the same.

The statement is false. While the means of two groups provide information about the central tendency of the data, they do not provide a complete description of the underlying distributions. Two groups can have the same mean but exhibit different distributions in terms of shape, spread, or other characteristics.

For example, consider two groups: Group A and Group B. Group A has a normal distribution centered around the mean, while Group B has a bimodal distribution with two distinct peaks. Despite having the same mean, the distributions of Group A and Group B are fundamentally different.

The mean only represents the average value and does not capture the full picture of the data. Other statistical measures such as variance, skewness, and kurtosis provide information about the shape, spread, and symmetry of the distributions, respectively. To determine if the underlying distributions of two groups are the same, additional analyses such as hypothesis testing or graphical comparisons are necessary. Therefore, having the same means does not guarantee that the underlying distributions of the two groups are the same.

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The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."

This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.

Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.

Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.

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A cutoff of 10% for statistical significance is more lenient compared to the standard 5% cutoff.

What is statistical significance?

Statistical significance is a measure used in hypothesis testing to determine whether an observed result is likely to be due to chance or represents a true effect. It indicates the level of confidence that can be placed in the findings of a study or experiment

Compared to the standard 5% cutoff for statistical significance, a cutoff of 10% would be more lenient or less strict.

In statistical hypothesis testing, the significance level, often denoted as alpha (α), represents the threshold below which the p-value must fall to reject the null hypothesis. The commonly used standard cutoff is 5% (or 0.05), which means that if the p-value is less than 0.05, the result is considered statistically significant, and the null hypothesis is rejected.

When the cutoff is increased to 10% (or 0.10), it means that the threshold for statistical significance is relaxed. In other words, a p-value less than 0.10 would now be considered statistically significant, leading to a higher likelihood of rejecting the null hypothesis. This increased cutoff allows for a wider range of p-values to be considered statistically significant, making it easier to detect effects or relationships.

However, it's important to note that a higher cutoff also increases the chances of a Type I error (rejecting the null hypothesis when it is true). This means there is a higher probability of falsely concluding that there is a significant effect or relationship when it may not actually exist.

Choosing the appropriate significance level depends on the specific context, research field, and the consequences of Type I and Type II errors. Lower significance levels, like 5%, are often used to maintain a more stringent standard and reduce the risk of false positives. However, in certain cases, a higher cutoff like 10% may be suitable, such as in exploratory analyses or when the consequences of Type II errors (failing to detect a true effect) are more severe.

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Complete Question:

Compared to the standard 5% cutoff for statistical significance, a cutoff of 10% would be more lenient or less strict?

Answer:

10 and -4

Step-by-step explanation:

a * -b = -40

10 * (-4) = -40

a + -b = 6

10 + (-4) = 6

You could do

36+12

4*12

4*9+12

(4*9)+(3*4)

and many more!

The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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The probability of Maria succeeding is 0.2.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

P( E )   =   number of favourable outcomes / number of total outcomes  → 1

The results  from the 25 samples showing success in each of the 10 trial throws:

Maria succeeds fewer than 7 times i.e. 5 and 6 times for 0 + 5 = 5 outcomes.

The probability of Maria succeeding at fewer than 7 throws in a sample of 10 free throws,

Number of favourable outcomes   =   5        →   (i)

Number of total outcomes   =   25                →   (ii)

Substitute (i) and (ii) in 1,

P( E )   =   5 / 25

           =   1 / 5

P( E )    =   0.2

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The complete question is

The probability of randomly selecting a score less than x = 34 from a normal distribution with a mean of µ = 40 and a standard deviation of σ = 8 is approximately 0.2266, or 22.66%.

First, we need to standardize the value of 34 using the formula for standardization:

Z = (x - µ) / σ

Where:

Z is the standard score or z-score,

x is the value of interest,

µ is the mean of the distribution, and

σ is the standard deviation of the distribution.

Plugging in the values, we get:

Z = (34 - 40) / 8 = -0.75

Now that we have the z-score, we can look up the corresponding probability from the standard normal distribution table or use statistical software. The standard normal distribution has a mean of 0 and a standard deviation of 1.

By looking up the z-score of -0.75 in the standard normal distribution table or using software, we find that the corresponding probability is approximately 0.2266. This means that there is a probability of 0.2266, or 22.66%, of randomly selecting a score less than 34 from the given normal distribution.

Alternatively, you can use software or a graphing calculator to directly calculate the probability using the standard normal distribution function. In this case, you would use the formula:

P(Z < -0.75) = Φ(-0.75)

Where Φ represents the cumulative distribution function (CDF) of the standard normal distribution. By evaluating this expression, you would get the same result of approximately 0.2266.

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The measure of <YZX is 55.2 degree.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

XY= 12.4 cm, YZ= 15.1 cm

In right ΔXYZ with hypotenuse XZ and opposite side XY to ∠YZX then

Using the sine ratio

sin <YZX= 12.4/ 15.1

sin <YZX = 0.8211

<YZX= 55.2

Hence, the measure of <YZX is 55.2 degree

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Answer: 55.2

Step-by-step explanation: just took it