the circumference of a child's swimming pool that has a radius of 3 feet.

13.  The Probability for (less than 15 and greater than 9) is 1/6.

14. The Probability of (no more than 16 and prime) is  1/5

The probability of an event is a number that indicates how likely the event is to occur

13.

The numbers from 10 to 14 are  less than 15 and greater than 9.

We then have  5 possible  outcomes.

Because  there are 30 numbers in total from 1 to 30, the probability is:

probability(less than 15 and greater than 9) = 5/30 = 1/6

14.

probability (no more than 16 and prime):

There are 2 prime numbers only that are no more than 16 and divide it by the total number of possible outcomes.

The prime numbers that satisfy this condition are: 2, 3, 5, 7, 11, 13.

Hence we have 6 possible outcomes.

The probability then is:

probability(no more than 16 and prime) = 6/30 = 1/5

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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The probability that a randomly selected sample mean will be more than $100 = 0.14082.

We are given that according to a research​ institution, the average hotel price in a certain year was $97.00.

Assume the population standard deviation is $18.00 and that a random sample of 40 hotels was selected.

Here, Mean = μ = $97.00  and  Standard deviation = σ = $18 and  n = 40

(a) Standard error of the mean = σ/\(\sqrt{n}\) = 18/\(\sqrt{40}\) = 2.74

(b) Let X bar = Sample Mean

The z score probability distribution for sample mean is ;

          Z = Xbar-μ/ σ/\(\sqrt{n}\) ~ N(0,1)

So, Probability that the sample mean will be less than $102 = P(X bar < $102)

P(X bar < 102) = P(Xbar-μ/ σ/\(\sqrt{n}\) < 102 - 97.00/ 18/\(\sqrt{40}\)) = P(Z < 0.74) = 0.7704

(c) Probability that the sample mean will be more than $104 =P(X bar > $104)

=  P(X bar > 104) = P(Xbar-μ/ σ/\(\sqrt{n}\) < 104 - 97.00/ 18/\(\sqrt{40}\)) = P(Z > 1.47) = 1 - P(Z <= 1.47)

= 1 - 0.92922 = 0.0708

(d) Probability that the sample mean will be between $99 and $100 is given by = P($99 < X bar < $100) = P(X bar < $100) - P(X bar <= $99)

= P(X bar < 100) = P(Xbar-μ/ σ/\(\sqrt{n}\) < 100 - 97.00/ 18/\(\sqrt{40}\)) = P(Z < 0.01) = 0.50399

= P(X bar <= 99) = P(Xbar-μ/ σ/\(\sqrt{n}\) <= 99 - 97.00/ 18/\(\sqrt{40}\)) = P(Z <= -0.35) = 1 - P(Z <= 0.35)

= 1 - 0.63683 = 0.36317

Therefore, P($99 < X bar < $100) = 0.50399 - 0.36317 = 0.14082 .

Hence the answer is the probability that a randomly selected sample mean will be more than $100 = 0.14082.

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The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

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Answer:

C on edge

Step-by-step explanation:

3

Answer:

371/999

Step-by-step explanation:

all repeating numbers like that just go over nines. Two repeating? Over 99. Four repeating? Over 9,999

Its speed is closest to 414m/s

given that

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm) (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation ().

Frequency, which is defined as the quantity of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing signal frequency.

a wave has a wavelength = 25.4cm

a frequency = 1.63khz

now, we need to find speed of the wave

speed = wavelength × frequency

speed = 25.4 × 16.3

           = 414m/s

speed = 414m/s

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Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

\(r \to\) rational number

\(s \to\) irrational number

\(\frac{r}{s} \to\) irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

\(r \to\) rational number

\(s \to\) irrational number

\(\frac{r}{s} \to\) rational number

Solving (b): When r/s is irrational is false

Given that:

\(\frac{r}{s} \to\) irrational number

Set r to 0

So:

\(\frac{r}{s} = \frac{0}{s}\)

\(\frac{r}{s} = 0\) -- rational

Hence, the statement is false when r is 0

Answer:

80%

Step-by-step explanation:

% is out of 100 so make the denominator of 4/5 to be 100:

4/5 times 20/20 = 80/100 = 80%

Answer:

80%

Step-by-step explanation:

4 divided by 5 equal .8

.8 x 100 equals 80

It's multiplied by 100 because usually percentages are out of 100.

OR

You can move the decimal in .8 to 2 space to the right

The type of reliability being referred to in this scenario is inter-rater reliability. This means that multiple raters (in this case, Dr. Nielsen and Dr. Perry) are assessing the same individual and producing consistent results in their diagnoses.
The question is about the type of reliability when Dr. Nielsen evaluated Kris at 2-years-old and Dr. Perry evaluated him at 6-years-old, with both diagnosing him with an intellectual disability and ADHD.

The type of reliability in this scenario is known as inter-rater reliability. Inter-rater reliability refers to the consistency of measurements when different evaluators assess the same individual or situation. In this case, both Dr. Nielsen and Dr. Perry independently came to the same diagnosis, demonstrating a high level of inter-rater reliability.

Inter-rater reliability is an important aspect of psychological and diagnostic assessments as it provides confidence in the consistency of the evaluations conducted by different professionals. When multiple evaluators reach similar conclusions, it enhances the reliability and validity of the diagnoses made.

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Answer:

Step-by-step explanation:

8*2= 2>answer

To determine if two graphs are isomorphic using their adjacency matrices, you need to compare the structural properties of the matrices.

Here are the steps to follow:

Obtain the adjacency matrices of the two graphs you want to compare. The adjacency matrix of a graph represents the connections between its vertices. If the graphs have the same number of vertices, their adjacency matrices should have the same size.

Check the size of the matrices. If the matrices have different sizes, the graphs cannot be isomorphic since they have different numbers of vertices.

Compare the structures of the adjacency matrices. Look for patterns and similarities in the entries of the matrices.

To definitively prove that two graphs are isomorphic, you would need to find a valid mapping between the vertices of the two graphs that preserves adjacency relationships. This mapping should ensure that each vertex in one graph corresponds to a unique vertex in the other graph, and adjacency is maintained between corresponding vertices.

Start by checking if the number of edges between vertices of each graph matches. In the adjacency matrix, the entry at position (i, j) represents the number of edges connecting vertex i and vertex j. Ensure that the corresponding entries in the two matrices are the same for all pairs of vertices.

Check if the degrees of the vertices match. The degree of a vertex is the number of edges incident to that vertex. Look at the row and column sums in the adjacency matrices. The degree of vertex i should be equal to the sum of the entries in row i and column i. Make sure the degree sequences of the two graphs are the same.

Compare the connectivity patterns. Look for sub-matrices or sub-graphs in the adjacency matrices that are similar. Pay attention to how vertices are connected to each other and if any specific patterns exist in the matrices.

If all the comparisons above yield matching results, the graphs are likely isomorphic. However, it is important to note that this method is not foolproof, as some non-isomorphic graphs may have the same adjacency matrix. It is possible for two graphs to have different adjacency matrices but still be isomorphic.

To definitively prove that two graphs are isomorphic, you would need to find a valid mapping between the vertices of the two graphs that preserves adjacency relationships. This mapping should ensure that each vertex in one graph corresponds to a unique vertex in the other graph, and adjacency is maintained between corresponding vertices.

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The code for "i love you" would be "sa ga pa".

To code "I love you" in this coding system, we have to first understand the meaning of each word. "God is great" is coded as the code "sa re ma", and "love is god" is coded as the code "re ga ma". "God love you" is coded just as "re ga pa".

Given the pattern, we can see that "love" is always coded as "re ga ma". So to code "I love you", we can replace "god" with "I" to get "I love you" as "sa ga pa". This is the code for "I love you" in this coding system.

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Answer:

shop b

Step-by-step explanation:

We can find for example how much 100 grams of peanut butter cost in each shop using a proportion

shop A 100 : 250 = x : 325

x = (325 * 100) / 250 = $130

shop B  100 : 340 = x : 408

x = (408 * 100)/ 340 = $120

We discovered that shop B is cheaper

Answer:

See explanation for answer.

Explanation:

2|2−4|+6

= 10

I'm sorry if this isn't correct.

I hope I helped!

Have a lovely day!

This question is easy to solve long as you know the vertical uprights mean to "take the absolute value".

To take the absolute value of a number, simply make it positive if it is a negative number and do nothing if the number is positive.

I don't see an operator between the first '2' and the first '|' so I'm assuming it is multiplication. Is there is an operator there and forgot to put it there, then I'll edit this answer to give the correct answer.

2 * |2 - 4| + 6 # Starting expression

2 * |-2| + 6 # Subtract 4 from 2

2 * 2 + 6 # Absolute value

4 + 6 # Multiplication

10 # Addition

Hope this helps!

For the pulse rates of adult females, assuming a normal distribution with a mean of 75.0 beats per minute and a standard deviation of 12.5 beats per minute, we can find the probability of a pulse rate between 61 and 68 beats per minute.

To calculate this probability, we first standardize the values using the z-score formula: \(z = \frac{x - \mu}{\sigma}\), where \(x\) is the given value, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

For 61 beats per minute:

\(z_1 = \frac{61 - 75}{12.5} = -1.12\)

For 68 beats per minute:

\(z_2 = \frac{68 - 75}{12.5} = -0.56\)

Using a standard normal distribution table or a calculator, we can find the area under the curve between these two z-scores. The probability of a pulse rate between 61 and 68 beats per minute is the difference between the cumulative probabilities at \(z_2\) and \(z_1\).

Let's assume the probability of pulse rate between 61 and 68 beats per minute is \(P(X)\).

\(P(X) = P(-1.12 < Z < -0.56)\)

By looking up the corresponding probabilities in the standard normal distribution table or using a calculator, we find \(P(X) \approx 0.1972\).

Therefore, the probability of a pulse rate between 61 and 68 beats per minute is approximately 0.1972 or 19.72%.

Please note that for part (b) of your question regarding the lengths of pregnancies, the relevant information and table seem to be missing. If you provide the necessary details or clarify the question, I'll be happy to assist you further.

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Answer:

centre (3 ,-1) , r=9

Explanation:

The standard form of the equation of a circle is.

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

a

a

∣

∣

−−−−−−−−−−−−−−−−−−−−−−−−−

where (a,b) are the coordinates of the center and r , the radius.

For the given equation: a = 3 , b = -1 and r = 9

hence centre = (3 ,-1) and radius = 9

Step-by-step explanation:

In this method, we first initialize the first two terms of the series as 'a' and 'b' respectively. We then print the first two terms separately. After that, we use a loop to generate and print the remaining terms of the series.

Here is a method in Python to print the Fibonacci series up to a given number of terms 'n':

```
def fibonacci(n):
   # Initialize the first two terms of the series
   a, b = 0, 1
   # Print the first term
   print(a)
   # Print the second term
   if n >= 2:
       print(b)
   # Generate and print the remaining terms
   for i in range(2, n):
       # Compute the next term in the series
       c = a + b
       # Update the values of a and b
       a, b = b, c
       # Print the next term
       print(c)
```

Inside the loop, we first compute the next term of the series as the sum of the previous two terms (i.e. 'a' and 'b'). We then update the values of 'a' and 'b' to prepare for the next iteration. Finally, we print the next term of the series.

You can call this method with the desired value of 'n' to print the Fibonacci series up to the given number of terms. For example:

```
fibonacci(7)
```

This would print the Fibonacci series up to 7 terms: 0, 1, 1, 2, 3, 5, and 8.

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Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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Answer:

1s+3c=7.5

3s+5c=17.5

Step-by-step explanation:

You will use these two equations and solve for the shakes in the first one.  S=3.75

C=1.25

ANSWER

∡5

EXPLANATION

Corresponding angles are the ones that are on the same side of the transversal and on the same side of each of the parallels

Answer:

8.8 pounds

Step-by-step explanation:

28 kg/7 days =4 kg per day

2.2 pounds * 4 kg = 8.8 pounds

Answer:

A 8.8 pounds

Step-by-step explanation:

The probability that the three pieces can be assembled into a triangle is 25%

Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.

If y>x, then the lengths of the pieces are x, y-x, and 1-y.

The triangle inequality must hold for each combination of edges.

for  y>x ...

x+y−x≥1−y

x+1−y≥y−x

y−x+1−y≥x

these simplify to...

for  y>x ...

y≥1/2

x+1/2≥y

x≤1/2

If we cut our 1x1 square into two triangles along the line x=y,

then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.

The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.

This region takes up 25% of the square,

Thus, the probability that the three pieces can be assembled into a triangle is 25%

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Answer:

There are 0 solutions

Answer:

Zero

Step-by-step explanation:

Let's solve the equation first.

For now, I will focus on the LHS and simplify that:

3(x + 2) = 3x + 1

3x + 6 = 3x + 1

Rearrange

3x - 3x = 1 - 6

Simplify

0x = -5

0 = -5 which isn't true

So 3(x + 2) = 3x + 1 has 0 solutions.

The data described in the tables is best modeled by a linear function or an exponential function both linear.

Hence, The data described in the tables is best modeled by a linear function or an exponential function both linear.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

Step-by-step explanation:

x+x-32=180

2x-32=180

2x=180+32

2x=212

x=106

x-32=>106-32=74