Diana walks around a circular swimming pool of diameter 14 feet. What is the distance she has walked?

The coordinates of point A' are (4,1) in the given rectangle.

According to the shown figure, the coordinate of the given rectangle can be written as:

The coordinates of vertice A are (4, 3)

As we know that the x-coordinate of the reflected point will be the same as the x-coordinate of the original point.

Therefore, the x-coordinate of point A' will be:

x-coordinate of A' = 4

Here, the y-coordinate of point A is 3, which is 1 unit above the line y = 2. So, the reflection of point A across the line y = 2 will be 1 unit below the line y = 2.

So, the y-coordinate of point A' will be:

y-coordinate of A' = 2 - 1 = 1

Therefore, the coordinates of point A' are (4,1).

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The Mean = 9.778

The Median = 9

The Mode = 5 and 10

The Standard deviation = 6.21

The Range = 22

Mean:

To get, we will sum up all the values and divide by the total number of values.

Mean - Ef/n

Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9

Mean = 88 / 9

Mean = 9.778

Median:

This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.

Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.

Mode:

The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.

Standard Deviation:

Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]

Variance = 38.617284

Variance = 38.62

Standard Deviation = √Variance

Standard Deviation = √38.62

Standard Deviation = 6.21449917532

Standard Deviation = 6.21

Range:

The range is difference between maximum and minimum values

Range = 26 - 4

Range = 22

b. The outline for the data set is as follows:

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The probability that Nippon will get 100% on the quiz by random guessing is 1/16.

To calculate the probability of Nippon getting a 100% on the quiz by guessing on all 4 true-false questions, you need to consider the probability of guessing correctly on each individual question.
The probability of guessing correctly on a single true-false question is 1/2, as there are two possible answers (true or false).

Since there are 4 questions, you need to find the probability of guessing correctly on all 4 questions.
To do this, you multiply the probabilities of guessing correctly on each individual question: [tex](1/2) \times  (1/2) \times  (1/2) \times  (1/2).[/tex]
When you multiply these probabilities, we  get (1/16), which is the probability of Nippon getting 100% on the quiz by guessing on all 4 true-false questions.
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The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:

-3.5.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

Matt's ordered data-set is given as follows:

5, 9, 11, 12.

Hence the quartiles are:

Hence the IQR is of:

IQR = 11.5 - 7 = 4.5.

Linda's ordered data-set is given as follows:

0, 6, 9, 13.

The quartiles aret

The IQR is of:

IQR = 11 - 3 = 8.

Hence the difference is of:

4.5 - 8 = -3.5.

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The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.

since df = n - 1 = 20 - 1 = 19). You can find this value using a t-distribution table or an online calculator.

For a 95% confidence level and 19 degrees of freedom, the t-score is approximately 2.093.

Now, let's calculate the margin of error (E):

E = 2.093 * (14.8 / √20)

E ≈ 6.4879

Finally, we'll find the confidence interval:

Lower Bound = x - E = 32.9 - 6.4879 ≈ 26.4121 lbs

Upper Bound = x + E = 32.9 + 6.4879 ≈ 39.3879 lbs

The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.

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The above is a long division problem, where 40 is the divisor and 10 is the dividend. the answer is 00.250 or 0.250. Long division is also called synthetic division.

       00. 250___________________

40 | 10.000

  -   0

      1 0

 -       0

     1 0 0

-        80
         2 0 0

-         2 0 0

             0   0

-                0      

                 0

Note that the answer is given in three decimal places that is 0.250

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Answer:

The answer is zero.

Step-by-step explanation:

RQT = 159

RQS = 69

==============================================

Explanation:

Draw a segment connecting R and S.

Triangle SRQ is a right triangle due to Thale's Theorem. That theorem is a special case of the inscribed angle theorem. The 90 degree angle R is opposite the diameter SQ.

Minor arc QR = 42 degrees. Half of this is 42/2 = 21, which is the measure of inscribed angle RSQ. This inscribed angle subtends minor arc QR.

Focus on triangle SRQ. We have two known angles (R = 90 and S = 21). Let's use them to find the missing angle.

The inside angles of any triangle always add to 180 degrees.

S+R+Q = 180

21+90+Q = 180

111+Q = 180

Q = 180-111

Q = 69

Angle RQS is 69 degrees.

----------------

We'll add angle SQT onto the previous result to get angle RQT.

angle RQT = (angle RQS) + (angle RQT)

angle RQT = (69) + (90)

angle RQT = 159 degrees

Answer: 11

Step-by-step explanation:

this is a sequence of odd numbers.

it goes;

1,3,5,7,9,11,13,15,17,19,21,23....

Answer:

-1.2 is greater than -19/2.

The odds against stopping on a number less than 12 is 5 ; 11

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

Sections in the spinner = 16

This means that the probability of getting a number less than 12 is

P(Number less than 12) = Sections less than 12/Sections in the spinner

There are 11 sections less than 12

So, we have

P(Number less than 12) = 11/16

When represented as odds, we have

P(Number less than 12) = 16 - 11 : 11

Evaluate the difference

P(Number less than 12) = 5 : 11

Hence, the odds against stopping on a number less than 12 is 5 ; 11

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The amount of walking space between two tables at the point where they are the closest is 0.9 m.

We are given that;

The space allowed per chair = 45 cm.

Number of tables=30

Now,

we find the length of a side of a square that contains a table by adding twice the radius of a table to twice the space allowed per chair. The formula is: side length=2×radius+2×space per chair

Plug in the given values and simplify. The calculation is: side length=2×0.9+2×0.45=2.7

Now subtract the diameter of a table from the side length to get the walking space between two tables. The formula is: walking space=side length−diameter

Plug in the given values and simplify. The calculation is: walking space=2.7−1.8=0.9

To express our answer in meters. walking space=0.9 m

Therefore, by the algebra the answer will be 0.9 m.

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Transactions are larger than others Bank B may be the cheaper option even if you make more than 35 transactions.

To compare the cost of using Bank A and Bank B need to consider the total cost based on the number of transactions.

Let's say you make x transactions in a month.

For Bank A the monthly cost is a fixed fee of $45 regardless of the number of transactions.

For Bank B the monthly cost is a fee of $20 plus $0.70 for each transaction.

So the total cost for Bank B is:

Total cost = $20 + $0.70x

The break-even point where the total cost of Bank A and Bank B are equal need to solve the following equation:

45 = 20 + 0.70x

Subtracting 20 from both sides, we get:

25 = 0.70x

Dividing both sides by 0.70, we get:

x = 35.71

If you make more than 35 transactions in a month Bank A is the cheaper option.

If you make fewer than 35 transactions Bank B is the cheaper option.

Analysis assumes that all transactions are of the same amount.

To compare the total cost of both banks based on the actual amounts of the transactions.

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Answer:

5 (19 + 12)

Step-by-step explanation:

You add up the red and black pens and multiply by 5, which indicates the 5 bags

Answer:11.7

Step-by-step explanation:

σ =√137.63265306122

σ= 11.731694381513

The coordinates of the point in the graph is (3, 2)

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

The graph

On the graph, we have the following

Represent the point with x

So, we have

X = (3, 2)

Hence, the coordinates of the point in the graph is (3, 2)

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Answer:

216.

Step-by-step explanation:

To solve this expression, you can first simplify the expression inside the parentheses:

45 - (25 + 8) = 45 - 33 = 12

Then you can substitute this simplified expression back into the original equation and multiply by 18:

(12) X 18 = 216

Answer:

Step-by-step explanation:

so how to help you but you do a good job

The amount that Marketing Manager earn more than a Financial Analyst over 10 years is $388,000. The Option H.

To get how much more a Marketing Manager will earn than a Financial Analyst, we have to calculate the difference in their median annual salaries and multiply by 10.

The difference in median annual salaries is:

= $115,750 - $76,950

= $38,800

The amount earned more by a Marketing Manager over 10 years is:

= $38,800 x 10

= $388,000.

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Answer: 21

Given:

  |7 + (-12)| + |-16|

Absolute value of -16:

  |7 + (-12)| + 16

Addition times subtraction is subtraction:

  |7 - 12| + 16

Subtract:

  |-5| + 16

Absolute value of -5:

  5 + 16

Add:

  21

The correct answer is A) partial.

Randomization is the process of randomly assigning the study participants or experimental units to the different treatment groups.

This helps to ensure that any differences observed between the groups are due to the treatment and not some other extraneous factor. Partial randomization refers to the random assignment of a subset of units to the treatment groups, while other units may be assigned in a non-randomized manner, such as based on convenience or some other criteria. Experimental, whole, and population randomization are not commonly used terms in research methodology.

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a. The values of k for which points A, B, and C are collinear are k = 3 and k = -2.

b. The value of k for which AB is parallel to CD is k = 13.

a. slope AB = (k+4-9)/(k+1-0) = (k-5)/(k+1)

The slope of AC is:

slope AC = (k+3-9)/(2k-0) = (k-6)/(2k)

Since A, B, and C are collinear, slope AB = slope AC. Therefore, we have:

(k-5)/(k+1) = (k-6)/(2k)

2k(k-5) = (k+1)(k-6)

2k^2 - 10k = k² - 5k - 6

k = 3 or k = -2

(b)  The slope of AB is:

= (k+4-9)/(k+1-0) = (k-5)/(k+1)

The slope of CD is:

= (k+6-k-3)/(2k+2-2k) = 3/2

Since AB is parallel to CD, slope AB = slope CD. Therefore, we have:

(k-5)/(k+1) = 3/2

2(k-5) = 3(k+1)

k = 13

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The number of questions asked in a day is A = 110

Given data ,

To determine the number of questions being asked in a day, we need to divide the total number of questions by the number of days.

Now ,  12 people are collectively asking 775 questions in a 7-day period.

So , the number of questions being asked in a day, we divide 775 by 7

A = 775 / 7

On simplifying the equation , we get

A ≈ 110.71

Hence , 110.71 questions are being asked in a day

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Answer:

  c.  3 ft by 4 ft by 5 ft

Step-by-step explanation:

You want to know which sets of measurements can form a triangle.

The triangle inequality requires ...

  a + b > c

for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.

Only the side lengths 3 ft, 4 ft, 5 ft will form a triangle.

__

Additional comment

As we said the other arrangements of the triangle inequality are also satisfied for these numbers:

  4 + 5 > 3

  3 + 5 > 4

The garden with side lengths 3, 4, 5 will have the shape of a right triangle.

53 = 43 + v, so substitute each number for V and see if it equals 53.

v = 8 >>> NO

53 = 43 + 8 >>> Nope. This is 51

v = 10 >>> YES

53 = 43 + 10 = 53 >>> Yup! This works.

v = 96 >>> NO

53 = 43 + 96 >>>> Nope, this doesn't add up.

V = 6 >>> NO

53 = 43 + 6 = 49 >>> Nope this doesn't add up.

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 is 1/6 or approximately  1667/10000 .

The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 can be found by using conditional probability.

The probability of the first card being odd is 2/4 (since there are two odd numbers out of four cards). If the first card was odd and not replaced, the number of cards remaining is three, with only one odd card. Therefore, the probability of picking an odd number again is 1/3.

So, the probability of picking an odd number and then picking an odd number is the product of the probabilities of picking an odd number in the first draw and picking an odd number in the second draw, given that the first draw resulted in an odd number.

P(Odd, Odd) = P(Odd on the first draw) * P(Odd on the second draw given that the first draw was odd)

P(Odd, Odd) = (2/4) * (1/3)

P(Odd, Odd) = 2/12

P(Odd, Odd) = 1/6 or approximately 0.1667

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