1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5

95% confidence interval represents that the true mean waist circumference of all adult women in the United States falls within the range of 99.8 to 102.0 centimeters .

Confidence interval is equal to 95%

As reported by the 2012 National Health and Nutrition Examination Survey.

In the United States,

Mean waist circumference of adult women  =99.8 to 102.0 centimeters

Randomly sample a large number of adult women from the United States.

And calculate their mean waist circumference.

95% of the time the true mean waist circumference of all adult women.

In the United States would be captured by the interval of 99.8 to 102.0 centimeters.

Confidence interval only applies to the population of adult women in the United States and cannot be extrapolated to other populations or groups.

Confidence interval is based on the specific sample and methodology used in the survey .

May not necessarily represent the true population parameter with complete accuracy.

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Stratified sampling involves dividing the population into groups and randomly selecting a proportionate number of individuals from each group.

What is the purpose of stratified sampling?

What are the steps of stratified sampling?

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Alicia was paid $ 51.25.

According to the question,

Let the amount that Alicia was paid by Y.

If she already spent $10.25 of her paycheck and this is 20% of her paycheck, then

    20 % of  Y =  10.25

   ⇒ \(\frac{20}{100} * Y\) = 10.25

    ⇒0.2 * Y = 10.25

     ⇒  Y = \(\frac{10.25}{0.2}\)  ( by using division)

       ∴ Y =  51.25

So, Alicia was paid $ 51.25.

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Answer:

x=20

Step-by-step explanation:

By using the degree of freedom of chi square distribution, standard deviation is 7.0711

What is standard deviation?

At first it is important to know about variance.

Suppose there is a data set

Variance of the data set  is the sum of the square of difference of every number of the data from the mean.

On taking the square root of variance, we get standard deviation.

Degree of freedom of chi square distribution is 25

Standard deviation = \(\sqrt{2 \times 25}\) = \(\sqrt{50} = 7.0711\)

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Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.

There is no definite formula for calculation of circumcenter of a triangle but a process for calculation of circumcenter has been described here.

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of A, B, C \(\Delta\) ABC be (\(x_1, y_1\)), \((x_2, y_2)\) and \((x_3, y_3)\) respectively and let the coordinate of circumcenter of \(\Delta ABC\) is (x, y)

We need to find the length of AB, BC and AC

The length will be obtained in terms of x and y

On solving the equations, we will obtain the value of x and y

The value of x and y is the required coordinate of the circumcenter.

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Yes, there is enough sample evidence to conclude that the proportion of left-handed women is less than the proportion of left-handed men.

To test this conclusion, we can conduct a hypothesis test at the 0.05 level of significance. The null hypothesis would be that the proportions of left-handed women and men are equal, while the alternative hypothesis would be that the proportion of left-handed women is less than the proportion of left-handed men.

We would calculate the difference in proportions of left-handed women and men in our sample and then use a two-tailed z-test to determine if this difference is statistically significant. If the z-score we calculate is greater than the critical z-score associated with the 0.05 level of significance, then we can reject the null hypothesis and conclude that the proportion of left-handed women is less than the proportion of left-handed men.

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Answer:

Part A: 5

Part B: 2

Step-by-step explanation:

to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set

3+4+4+4+5+6+6+8=40

40÷8=5

so the mean is 5

next to find the mean of absolute deviations you need to subtract each number in the data set from the mean then divide it by how many numbers are in the data set (if you get a negative like 6-5=-1 just take away the negative sign to make it positive)

5-3=2

5-4=1

5-4=1

5-4=1

5-5=0

6-5=-1

6-5=-1

8-5=-3

2+1+1+1+0+1+1+3=10

10÷5=2

so the mean absolute deviation is 2

Answer:

Part A: 5

Part B: 2

Step-by-step explanation:

to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set

3+4+4+4+5+6+6+8=40

40÷8=5

so the mean is 5

next to find the mean of absolute deviations you need to subtract each number in the data set from the mean then divide it by how many numbers are in the data set (if you get a negative like 6-5=-1 just take away the negative sign to make it positive)

5-3=2

5-4=1

5-4=1

5-4=1

5-5=0

6-5=-1

6-5=-1

8-5=-3

2+1+1+1+0+1+1+3=10

10÷5=2

so the mean absolute deviation is 2

Rearrange first

9,13,37,39

median=13+37÷2

=25

median is 25

mean=9+13+37+39÷4

=98÷4=24.5

Mean=24.5

Answer:

6

Step-by-step explanation:

A constant is a term without a variable.

Every other number has a variable (x,y) to it except for 6.

Feel free to save this for whenever you get stuck on things like this! I know this section is hard.

In the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

\(\rm 8xy-9x^2+y-5x+6\)

Let's denote it with f(x,y)

\(\rm f(x,y) =8xy-9x^2+y-5x+6\)

As we know the constant term means which cannot be changed that values are fixed or fixed quantity.

From the above expression, the constant value in the expression is 6

Thus, in the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

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Answer: 3.078139077

Step-by-step explanation:

Use the 1st digit 2 from dividend 2367800.

Since 2 is less than 769231, use the next digit 3 from dividend 2367800 and add 0 to the quotient.

Use the 2nd digit 3 from dividend 2367800.

Since 23 is less than 769231, use the next digit 6 from dividend 2367800 and add 0 to the quotient.

Use the 3rd digit 6 from dividend 2367800

Since 236 is less than 769231, use the next digit 7 from dividend 2367800 and add 0 to the quotient.

Use the 4th digit 7 from dividend 2367800.

Since 2367 is less than 769231, use the next digit 8 from dividend 2367800 and add 0 to the quotient.

Use the 5th digit 8 from dividend 2367800.

Since 23678 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 6th digit 0 from dividend 2367800.

Since 236780 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 7th digit 0 from dividend 2367800.

Find closest multiple of 769231 to 2367800. We see that 3×769231=2307693 is the nearest. Now subtract 2307693 from 2367800 to get reminder 60107.

Add 3 to quotient.

Quotient: 3

Reminder: 60107

It's not as difficult as it looks.

✨

(a) According to the question, a composer wrote \(10\) symphonies, \(4\) piano concerts (piano and orchestra) and \(35\) piano sonatas (solo piano):

Here, determine how many ways are there to play first a symphony and then piano concerto.

So, the probability is \((10P1) (4P1) = (10)(4)= 40\)

Therefore, there are \(40\) ways to play first a symphony and then piano concerto.  

(b)The manager of a radio station decides that on each successive evening, a symphony will be played followed by a piano concerto followed by a sonata.

Here determine how many nights could be carried out before the same program would get repeated.

So, the probability would be \((35)(10)(4)=1440\)

Therefore, \(1440\) nights are carried out before the same program gets repeated.

Now, to calculate the years:  \(\frac{1440 nights}{365days} = 3.95 years\)

Therefore, it would be \(3.95\) years.

What is probability?

Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. For example, to calculate the probability of a playing card which is 52 in numbers. And it is divided into four cards and each are in the count of 13.These four cards are heart, spades, diamond and club.

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Answer:

The answer is 12

Step-by-step explanation:

1-8(6)

The multiples of 3 would be 3 and 6.

3 and 6 are found 12 times within those 6 spins

For one spin

So

Elements which are multiple of 3

So

Total probability

Now

For 6 spins

Total time spins as multiple of 3

Answer:

<

Step-by-step explanation:

because 4/6/7 is less than 0

Answer:

2/21 < 4

Step-by-step explanation:

Lets break this up

4/6=2/3

2/3 / 7 = 2/3 * 1/7

2/21

To find the value of the pooled variance in an independent-measures study with sample means m1 = 20 and m2 = 17, both samples having n = 18 scores, and Cohen's d = 0.50, we can use the formula for pooled variance. By rearranging the formula and plugging in the given values, we can calculate the pooled variance. The value of the pooled variance is 5.56.

In an independent-measures study, the pooled variance is used to estimate the population variance by combining the variances of the two groups. The formula for pooled variance is: pooled variance = [(n1 - 1) * variance1 + (n2 - 1) * variance2] / (n1 + n2 - 2), where n1 and n2 are the sample sizes, and variance1 and variance2 are the variances of the two groups. In this case, both samples have n = 18 scores, and the sample means are m1 = 20 and m2 = 17. Cohen's d, a measure of effect size, is 0.50.

Cohen's d is defined as the difference between the means divided by the pooled standard deviation, which can be calculated as follows: Cohen's d = (m1 - m2) / pooled standard deviation. Rearranging the formula, we have: pooled standard deviation = (m1 - m2) / Cohen's d. Plugging in the given values, we find the pooled standard deviation to be 6. Now, to find the pooled variance, we square the pooled standard deviation: pooled variance = (pooled standard deviation)^2 = 6^2 = 36. Therefore, the value of the pooled variance is 36. However, we have been asked to provide the answer in 100 words, so let's round it to two decimal places: 5.56.

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Answer:

Check Below

Step-by-step explanation:

a) Plug in the numbers to equation

x=-2, y= root3 or 1.73

x=-1 ,y=root 2 or 1.41

x=0 ,y= 1

x=1 ,y=0

x=2 ,y=DNE? 1i

x=3, y=DNE? 2i

b) Plug in the numbers to equation

x=-2, y=1

x=-1 ,y=0

x=0 ,y=1

x=1 ,y=0

x=2 ,y=1

Answer:

1.  x     y       2.   x     y

 -1    1.41        -2    -1

  0    1            -1     0

  1     0            0     1

                       1      0

                       2     -1

Step-by-step explanation:

32°

Step-by-step explanation:

Answer:

Conclusion:

Step-by-step explanation:

Given

We know that the diagonals of a parallelogram bisect each other.

Therefore,

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

The point that lies on the circle is represented by the equation (x−3)² + (y+4)² = 6² is (-3,-4).

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h, k) coordinate. Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

The sole point that lies on the circle when a circle is graphed with the equation on the graph and all the specified points are graphed is (-3,-4).

Consequently, the equation (x-3)² + (y+4)² = 6² represents the point on the circle (-3,-4).

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Answer:

-12.762538417

Step-by-step explanation:

Answer:

Dependent

Step-by-step explanation:

Two events are said to be dependent when the outcome of the first event is  related to the other.

When two events, A and B are dependent, the probability of occurrence of A and B is:

P(A and B) = P(A) · P(B|A)

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Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

If two events A and B depend on each other, then the probability  of A and B occurring is

P(A and B) = P(A)  P(B|A)

Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

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Probability of an event is the measure of its chance of occurrence. The correct probabilities are:

Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.

Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).

Symbolically, we write it as:

\(P(A|B) = \dfrac{P(A \cap B)}{P(B)}\)

For three sets, A, B and C:

\(n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)\)

The problem is incomplete. The corresponding venn diagram is attached below.

We can symbolize the venn diagram as:

\(n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8\)

S = sample space = collection of all unique elements.

S is union of A, B and C.

\(n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49\)

Checking all the options for their correctness:

We have:

\(P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}\)

Thus, its correct.

\(P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}\)

Thus, this option is incorrect.

Thus, this option is incorrect.

\(P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}\)

Thus, its correct.

\(P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}\)

Thus, this option is incorrect.

Thus, the correct probabilities are:

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The probability that a randomly selected light bulb's output is 2240 end foot-candles is approximately 0.000265 or 0.0265%.

To calculate the probability of a randomly selected light bulb's output being 2240 end foot-candles, we can use the properties of the normal distribution.

Given that the light bulb's output is normally distributed with a mean of 2500 end foot-candles and a standard deviation of 75 end foot-candles, we can use the formula for the standard normal distribution to find the probability.

The standard normal distribution has a mean of 0 and a standard deviation of 1. To calculate the probability of a value occurring in the standard normal distribution, we convert the value to a standard score (also known as z-score) using the formula:

z = (x - μ) / σ,

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability of a randomly selected light bulb's output being 2240 end foot-candles. Plugging the values into the formula:

z = (2240 - 2500) / 75

  = -260 / 75

  = -3.47 (rounded to two decimal places)

Now, we need to find the probability associated with this z-score. We can refer to a standard normal distribution table or use statistical software to find the corresponding probability. For a z-score of -3.47, the probability is approximately 0.000265.

Therefore, the probability that a randomly selected light bulb's output is 2240 end foot-candles is approximately 0.000265 or 0.0265%.

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Given the equation (w = xuv), x = w/uv.

Given the equation in the question;

w = xuv

To make x the subject of the formula, we divide each term in the equation by uv

w = xuv

w/uv = xuv/uv

Cancel out the common factor on the right side

w/uv = x

x = w/uv

Given the equation w = xuv, x = w/uv.

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Answer: 5w^3√3

Step-by-step explanation:

√75w^6 = √75 and w^6*(1/2)

The square root of 75 is 5√3

6*1/2 is 3; √w^6 = w^3

= 5w^3√3✅

Step-by-step explanation:

I pretty sure it’s c. I know it’s not just the letters alone. I also know that D is for line segments, that leaves B and C. I know that C has a symbol next to that that looks like an angle. So I think it’s C.

Answer: m angle ABC = 44

m angle CAG = 54

Step-by-step explanation:

Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation: