a pair of standard -sided dice is rolled once. the sum of the numbers rolled determines the diameter of a circle. what is the probability that the numerical value of the area of the circle is less than the numerical value of the circle's circumference?

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Hi there! We are given three functions below:

\( \large \boxed{f(x) = \frac{2 + {x}^{2} }{x + 6}} \\ \large \boxed{g(x) = \sqrt{1 + 7x} } \\ \large \boxed{h(x) = | \frac{3}{4} x - 14 | }\)

Next, we are going to substitute the values that replace x-term. Substitute these values in each functions.

We are given below:

Therefore,

\( \large{f(4) = \frac{2 + {4}^{2} }{4 + 6} } \\ \large{g(2) = \sqrt{1 + 7(2)} } \\ \large{h(8) = | \frac{3}{4} (8) - 14}| \)

Then evaluate the value.

\( \large{f(4) = \frac{2 + 16}{10} } \\ \large{g(2) = \sqrt{1 + 14} } \\ \large{h(8) = | 3(2) - 14}| \)

\( \large{f(4) = \frac{18}{10} \longrightarrow \frac{9}{5} } \\ \large{g(2) = \sqrt{15} } \\ \large{h(8) = | 6- 14| \longrightarrow | - 8| = 8 }\)

Answer

Answer:

7u² + 5u + 6

Step-by-step explanation:

Algebraic expressions:

           4u² + 2 + 4 + 3u² + 5u = 4u² + 3u² + 5u + 2 + 4

                                                = 7u² + 5u + 6

           Combine like terms. Like terms have same variable with same power.

     4u² & 3u² are like terms. 4u² + 3u² = 7u²

     2 and 4 are constants. 2 + 4 = 6

Answer:

There you go, this was actually fun to do!!

Step-by-step explanation:

Answer:

M<1=60

M<13=80

M<5=60

M<14=100

Step-by-step explanation:

Did the assignment

Answer: A and C

Step-by-step explanation: It’s not independent or dependent because,

independent= doesn’t depend on another (cause)

dependent= depends on another (effect) —> maybe if this were about weight gain/ weight loss.

I would go with

C and A.

It makes the most sense food wise.

Answer:

The mean is 25 and the median is 23

Answer:

(3 x 1) + (3(5) x 1) = a

Step-by-step explanation:

The value of 2 divided by 3 is 0.67

From the question, we have the following parameters that can be used in our computation:

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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Answer: Calculate

Step-by-step explanation: How to calculate the margin of error?

1. Get the population standard deviation (σ) and sample size (n).

2. Take the square root of your sample size and divide it into your population standard deviation.

3. Multiply the result by the z-score consistent with your desired confidence interval according to the following table:

Answer:

67/25's

Step-by-step explanation:

2 and 68/100's

Reduce 68/100 to 17/25

50/25=2

So, add (50/25)+(17/25) to make (67/25)

Answer:

Juan- 1c+6d+5g

Together- 3c+9d+6g+3h

Step-by-step explanation:

Add their pets together

Answer:

Its complicated the answer will be explainined in the step by step

Step-by-step explanation:

The mathematical representation of juans pets is 1c+6d+5g

If they moved in they would have a total of 3c+9d+6g+3h

Yes, it is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations when performing certain statistical tests, such as an Analysis of Variance (ANOVA) or a two-sample t-test.

These assumptions are important for the validity and accuracy of the test results.

Step-by-step explanation:

1. Equal population means: This assumption ensures that any observed differences between the sample means are due to random variation, not a systematic difference between the populations.

2. Positive standard deviations: This assumption ensures that the variability within each population is accurately represented and helps to determine the appropriate test statistic and critical value for the hypothesis test.

By making these assumptions, you can conduct statistical tests with greater confidence in the results, as they are based on sound principles of statistical theory.

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Answer: x2+17x+3

Step-by-step explanation:

2x2+7x−x2+10x+3

=2x2+7x+−x2+10x+3

Combine Like Terms:

=2x2+7x+−x2+10x+3

=(2x2+−x2)+(7x+10x)+(3)

=x2+17x+3

a. X follows a normal distribution (X ~ N).

b. To find the proportion of novels between 48,956 and 66,089 words, we need to calculate the z-scores for these values and find the corresponding proportions using a standard normal distribution table or calculator.

c. The 70th percentile for novels is approximately 68,467 words.

d. The middle 50% of romance novels have a word count range from approximately 46,618 to 82,134 words.

a. The distribution of X, the number of words in a randomly selected romance novel, is approximately normal (X ~ N(64376, 17133)).

b. To find the proportion of novels that are between 48,956 and 66,089 words, we need to calculate the z-scores for these values and then find the corresponding probabilities using the standard normal distribution table. Let's denote the z-scores as z1 and z2, respectively:

z1 = (48956 - 64376) / 17133

z2 = (66089 - 64376) / 17133

Using the z-scores, we can find the probabilities P(Z < z1) and P(Z < z2) from the standard normal distribution table. Then, the proportion of novels between 48,956 and 66,089 words is given by:

P(z1 < Z < z2) = P(Z < z2) - P(Z < z1)

c. The 70th percentile for novels corresponds to the value below which 70% of novels fall. To find this value, we need to find the z-score corresponding to the 70th percentile using the standard normal distribution table. Let's denote this z-score as z70. Then, we can calculate the number of words using the z-score:

Number of words = Mean + (z70 * Standard deviation)

d. The middle 50% of romance novels corresponds to the interval between the 25th and 75th percentiles. To find these values, we need to find the z-scores corresponding to the 25th and 75th percentiles using the standard normal distribution table. Let's denote these z-scores as z25 and z75. Then, we can calculate the number of words using these z-scores:

Number of words (lower bound) = Mean + (z25 * Standard deviation)

Number of words (upper bound) = Mean + (z75 * Standard deviation)

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Answer:

The component form of the vector P'P is \(\left \langle -7, 2 \right \rangle\)

Step-by-step explanation:

The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;

The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7

The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2

The component form of the vector P'P = \(\left \langle -7, 2 \right \rangle\)

Answer:

w=59 y=59 z=53 x=121 v=121

Step-by-step explanation:

inside a triangle the angles should add up to 180 so you can easily do 180-31 -90 to find w then with that you can find the rest and also w is equal to y cause theyre vertical angles

Answer:

w=59, x=121, v=121, y=59, and z=53

Step-by-step explanation:

One thing that all triangles have in common is that the sum of all of their angles is equal to 180 degrees.  This will help us solve for the variables.  

The triangle seen on the left side of the diagram is a right triangle, meaning that one of the angles is equal to 90 degrees.  The other angle is labeled as being 31 degrees, so we can add 90 and 31 together to get 121 degrees, which we can now subtract from 180 to get the angle w, which is 59 (180-121=59).

Knowing that w is equal to 59 degrees, we can solve for x because it is clear that this is a straight line, and these are equal to 180 degrees as well, so 180-59=x which is 121.

x and v are equal to each other as is w and y, so all that's left to solve for is z.

Triangles are equal to 180 degrees, so we subtract the sum of 68 and y (59) to get the measurement of z. 68+59=127.  180-127=53.  

I hope that this helps :)

Answer:

h = 5 (3+p)

Step-by-step explanation:

3 hrs = $45 + $15p

h = 45+15p / 3 (This was supposed to be a fraction)

h = 15 (3+p)/ 3 (This was supposed to be a fraction)

h = 5 (3+p) (You might use different variables from me)

hrs = hours

p = per person

Brainlist pls!

Answer:

a) 2/5

b) 1/10

Step-by-step explanation:

There are 20 people total.

a is that the chosen child is a girl.

2 + 6 = 8, --> there are 8 girls --> simplify

8/20 = 4/10 = 2/5

b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10

And thus, we have our answers.

Answer:

A) 2/5

B) 1/10

Step-by-step explanation:

A) Total Girls = 8

Total Children = 19

Probability = \(\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}\)

Probability = 8/20 = 4/10 = 2/5

B) Left-handed girls = 2

Total left handed children = 20

=> Probability = \(\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}\)

=> Probability = 1/10

Where tn-1(1-α/2) is the critical value of the t-distribution with (n-1) degrees of freedom at the 1 - α/2 confidence level, Sy is the sample standard deviation of Y, and sy is the sample standard error of Y.

Standard deviation is a statistical measure that calculates the amount of variation or dispersion of a set of data values from its mean or average. Standard deviation is commonly used in statistics to measure the amount of variation or dispersion of a set of data values from their mean or average.

For a large-sample interval for σy – µy, the formula is:
σy – µy = tn-1(1-α/2) * Sy / √n

For a small-sample interval for µy – σy, the formula is:
µy – σy = tn-1(1-α/2) * sy / √n


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There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.

The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.

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Answer:

49

Step-by-step explanation:

so if you look at it you have to think which numbers will equal 144 and 23 plus 49 plus 3 is the answer

Answer:

Cone volume formula

To calculate its volume you need to multiply the base area (area of a circle: π * r²) by height and by 1/3: volume = (1/3) * π * r² * h

Step-by-step explanation:

The three types of consulting services that audit firms are now prohibited from providing to clients that are public companies are:

1. Bookkeeping services: Audit firms are prohibited from providing bookkeeping services to their audit clients. Bookkeeping involves the recording, organizing, and maintaining of financial transactions.

By prohibiting audit firms from providing bookkeeping services, it helps to ensure independence and objectivity in the audit process. This separation reduces the risk of potential conflicts of interest that could compromise the integrity of the audit.

2. Legal services: Audit firms are also prohibited from providing legal services to their audit clients. Legal services include activities such as drafting legal documents, providing legal advice, and representing clients in legal proceedings.

The prohibition on providing legal services aims to maintain independence and prevent any potential conflicts of interest that could arise if the audit firm were to also provide legal advice or services to the audited company.

3. Financial information systems design and implementation: Audit firms are further prohibited from designing and implementing financial information systems for their audit clients.

This involves the development and implementation of computerized systems that record and process financial data. The prohibition on providing financial information systems design and implementation services helps to avoid any potential bias or lack of objectivity in the audit process,

as the audit firm should remain independent and not be involved in the design and implementation of the systems they are auditing.

By prohibiting audit firms from providing these consulting services, it helps to ensure that the audit process is conducted objectively and independently, without any conflicts of interest.

This enhances the credibility and reliability of financial statements and promotes transparency and trust in the financial markets.

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The numbers in the quotient of 88 divided by 5 are 17 (the whole number part) and 0.6 (the decimal part).

When dividing 88 by 5, we get a quotient of 17.6.

The quotient is a decimal number, and it consists of two parts: the whole number part and the decimal part.

In this case, the whole number part is 17, and the decimal part is 0.6.

Therefore, the two numbers in the quotient of 88 divided by 5 are 17 (the whole number part) and 0.6 (the decimal part).

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X is a binomial random variable because it satisfies the criteria of a binomial experiment. The probability of exactly 5 people having arachnophobia is (28C5) * (0.05)^5 * (1-0.05)^(28-5), the probability of at most one person having arachnophobia is P(X= 0) + P(X=1), the probability of at least two people having arachnophobia is 1 - (P(X=0) + P(X=1)).

a) X is a binomial random variable because it meets the criteria for a binomial experiment: 1) There are a fixed number of trials (28 people in the sample), 2) Each trial (person in the sample) is independent, 3) Each trial has two possible outcomes (afraid or not afraid), and 4) The probability of success (afraid) is the same for each trial.

b) To find the probability that exactly 5 people have arachnophobia, we use the binomial probability formula: P(X=k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of trials (28), k is the number of successes (5), p is the probability of success (5% or 0.05), and (nCk) is the combination of n and k. Plugging in the values, we get P(X=5) = (28C5) * (0.05)^5 * (1-0.05)^(28-5).

c) To find the probability that at most one person has arachnophobia, we sum the probabilities of 0 and 1 person having arachnophobia: P(X<=1) = P(X=0) + P(X=1).

d) To find the probability that at least two people have arachnophobia, we subtract the probabilities of 0 and 1 person having arachnophobia from 1: P(X>=2) = 1 - (P(X=0) + P(X=1)).

Therefore, X is a binomial random variable because it satisfies the criteria of a binomial experiment. The probability of exactly 5 people having arachnophobia is (28C5) * (0.05)^5 * (1-0.05)^(28-5), the probability of at most one person having arachnophobia is P(X= 0) + P(X=1), the probability of at least two people having arachnophobia is 1 - (P(X=0) + P(X=1)).

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The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The number of recipes she would have mastered after 10 weeks is; 31 recipes

The formula for the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

First term is a

Common difference is d

n is nth term

We are given;

First term; a = 13

Common difference; d = 2

Thus, after the first ten weeks, number of recipes she would have mastered is;

a₁₀ = 13 + (10 - 1)2

a₁₀ = 31

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Answer: 4.278695 × 10^7

Step-by-step explanation:

Answer: 4.2786950x10^7 or 4.2x10^7

Step-by-step explanation:

To convert a number to scientific notation, move the decimal.

42,786,950

At the and of this number, there is an understood decimal. To find the scientific notation version of it, move the decimal over to the left until you have only one digit to the left of the decimal, as such...

4.2786950

To then find what the exponent you're multiplying by, you count how many places you moved the decimal.

So in the end, you get 4.2786950x10^7

The truth value of Proposition 1, [A ⊃ ~(B · Y)] ≡ ~[B ⊃ (X · ~A)], is true when A and B are true, and X and Y are false.

First, we'll evaluate each part of the proposition:

1. A ⊃ ~(B · Y): Since A is true and B · Y is false (due to Y being false), the statement becomes "true ⊃ ~false", which simplifies to "true ⊃ true". This is true.

2. B ⊃ (X · ~A): Since B is true, X is false, and ~A is false, the statement becomes "true ⊃ (false · false)", which simplifies to "true ⊃ false". This is false.

Now, we'll evaluate the equivalence ([A ⊃ ~(B · Y)] ≡ ~[B ⊃ (X · ~A)]): The statement becomes "true ≡ ~false", which simplifies to "true ≡ true". Therefore, the truth value of Proposition 1 is true.

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