the following are amounts of total snow falls (in inches) in different midwestern cities in the united states in a certain year: 20 40 31 7 15 29 25 20 17 32 28 12 34 29 20 17 33 23 find the sample mean.

Answers

Answer 1

The sample mean of snowfalls in the 18 midwestern cities of the United States is 24. This is calculated by applying the formula of arithmetic mean or average to the given sample of data.

What is arithmetic mean?

An arithmetic mean is examined as very similar to an average. Mathematically, it is obtained by dividing the sum of all objects by the total number of objects.

Calculation of the sample mean for given data

Given the total number of cities = 18

The total amount of snow falls = 20 + 40 + 31 + 7 + 15 + 29 + 25 + 20 + 17 + 32 + 28 + 12 + 34 + 29 + 20 + 17 + 33 + 23

The sample mean = total amount of snowfalls / total number of cities

= 432 / 18

= 24

Hence, the sample mean of the given data is 24.

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Related Questions

after finishing her shift, a waitress wrote 2.5 under “hours worked” on her time card. How long did she work?

Answers

Answer:

if it says 2.5 that mean 2 hours and 5 minutes

Answer:

Two hours and 30minutes

Step-by-step explanation:

What is the answer ?????

Answers

Answer:70/100

Step-by-step explanation: 100/100 is 100% so with that logic 70/100 would mean 70%

Answer 70/100 :) Hope you pass

Consider the line that passes through the point P(-1,-1) and is parallel to the line x-y=7. Write the point slope equation of the line. Use exact values.​

Answers

Answer: y=x

Step-by-step explanation:

[tex]x-y=7\\x-y+y=7+y\\x=7+y\\x-7=7+y-7\\x-7=y[/tex]

The line that parallel to the line x-y=7 is:

[tex]y=x+b[/tex]

The line that passes through the point P(-1,-1), hence:

[tex]-1=-1+b\\-1+1=-1+b+1\\0=b\\Thus,\\y=x+0\\y=x[/tex]

(4x² – 11x³ – 13x² +96x
+52) ÷ (4x + 9)

Answers

The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

Polynomial long division:

Long-division polynomials are algorithms that divide polynomials by polynomials of the same or lower degree. As with the long division method of numbers, the divisor, quotient, dividend, and remainder are all part of the long division of polynomials.

what are the four steps in polynomial long division?

When a divisor has more than one term or is a polynomial with more than one term, the four stages used to divide whole numbers (divide, multiply, subtract, bring down the next term) comprise the repeated operation for polynomial long division.

According to the given data:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9) given.

Simplifying the equation:

(4x² – 11x³ – 13x² +96x+52)

(-11x³ - 9x² + 96x + 52)

Applying Polynomial long division:

(-11x³ - 9x² + 96x + 52)÷ (4x + 9)

                                           [tex]$-\frac{11}{4} x^2+\frac{63}{16} x+\frac{969}{64}$[/tex]

                              (4x + 9)√(-11x³     - 9x²        + 96x       + 52)

                                                -11x³ -(99/4)x²

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

                                                            (63/4)x² + 96x

                                                             (63/4)x²  + (567/16)x

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

                                                                              (969/16)x     + 52

                                                                               (969/16)x    - 8721/64

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

                                                                                                      - 5393/64

The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

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The ratio of cars to trucks in a parking lot is 5 cars to 3 trucks. there are 30 cars in the parking lot. how many trucks are in the parking lot

Answers

If the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

Given,

The ratio of cars to truck in the parking lot = 5:3

Total number of cars in the parking lot =30

Then, the equation will be

5x=30

x=6

Then,  the number of tucks in the parking lot =3x

3×6=18

Hence, if the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

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HELP 50 PTS AND BRAINLY!!!

Answers

Answer:

The sum will be close to 1/2

Step-by-step explanation:

1/4+2/7=15/28

The common denominator of 1/4 and 2/7 is 28.

1/4 -> 7/28

2/7 -> 8/28

7/28+8/28=15/28

turn that into a decimal and it will round to 0.5257

1/2=0.5

so the answer will be closer to 1/2

Answer:The sum would be close to 1/2

Step-by-step explanation:

leila is buying a dinosaur model. the price of the model is x dollars, and she also has to pay a 7%7\%7%7, percent tax.

Answers

This problem is associated with linear equations. The total price will be 1.07x dollars.

What is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Given,

Leila is buying a replica of a dinosaur.

The model is priced at x dollars, plus she must pay a 7% tax.

7% is shown in decimal form.

= 0.07

Tax price = 0.07 times the model's cost

= 0.07x

Total cost Leila pays for the model by adding the tax price to the model's cost.

Combining the values in the aforementioned

Leila pays the model a total of 0.07x + x.

= 1.07 in currency

As a result, Leila pays a total of 1.07 for the model.

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How to find the size of angle x​

Answers

Answer:

x = 50°

Step-by-step explanation:

draw a line through B parallel to the 2 given parallel lines , then

the upper angle at B and 150° are same- side interior angles and sum to 180°

upper angle = 180° - 150° = 30°

the lower angle at B and 160° are same- side interior angles and sum to 180°

lower angle = 180° - 160° = 20°

Then

x = upper angle + lower angle = 30° + 20° = 50°

5. Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on
directed line segment AB that partitions AB in the ratio 1 to 4.

Answers

The correct answer is (x,y)=(-1,-2.4)

The coordinates are a pair of numbers that, using the horizontal and vertical lines, precisely pinpoint a point's location on a cartesian plane. typically represented by (x, y), the point's x and y values on a graph. Every point or an ordered pair comprises two coordinates.

The x coordinate, also known as the abscissa, is the first, and the y coordinate, also known as the ordinate. Any real number, whether positive or negative, can represent the coordinates of a point.

We have given the point

A(-3,-4) and B(2,0)

(x1,y1)=(-3,-4)

(x2,y2)=(2,0)

As P divided line segment AB in the ratio 2 to 3

m/n=2/3

x=(mx2+nx1)/m+n

x=(2)(2)+(3)(-3)/2+3

x=4-9/5

x=-5/5

x=-1

y=(my2+ny1)/m+n

y=(2)(0)+(3)(-4)/2+3

y=0-12/5

y=-12/5

y=-2.4

(x,y)=(-1,-2.4)

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A straight line segment is drawn from A to C as shown at the right.
If AB=2x-4, BC= 4x + 12, and AC = 32, find .x.

Answers

Answer:

Step-by-step explanation:

just need points dont mind me

Which of the following expressions is equivalent to 32x − 3?

the quantity 9 to the power of x end quantity over 27
the quantity 6 to the power of x end quantity over 9
the quantity 2 to the power of x end quantity over 3
the quantity 1 to the power of x end quantity over 9

Answers

The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.

Equivalent expression

It follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices as follows;

3^(2x -3)

= 3^(2x) × 3-³

= (3²)^x × 1/3³

= 9^(x) × 1/27

= 9^(x)/27.

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The expression that is equivalent to 3^(2x - 3) is; Option A: the quantity 9 to the power of x end quantity over 27.

How to use Law of Indices?

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.

Now, we are given the expression as 3^(2x - 3). This can be broken down into; 3^(2x) × 3⁻³

Now, according to laws of indices;

3^(2x) = (3²)ˣ

Thus, we now have;

= ((3²)ˣ)/3³

= 9ˣ/3³

= 9ˣ/27

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What is the equation of the line that is perpendicular to
the given line and has an x-intercept of 6?
O y = -x + 8
O y = -x + 6
Oy=x-8
Oy=x-6

Answers

The answer is Oy=X-6 hope this helps

The equation of the line that is perpendicular to the given line y = x + 6 and has an x-intercept of 6 is B. y = -x + 6.

A line is plotted on the cartesian plane and is straight, thus named a straight line. A straight line is a two-dimensional geometrical figure.

Given the line:

y = x + 6

Compare the equation with

y = mx + c,

m = 1 and c= 6.

As it is given that the new line is perpendicular to the old one, then

the slope of the new line, m' [tex]= -\frac{1}{m} = -\frac{1}{1} = -1[/tex].

As the x-intercept is 6, c' = 6.

So, the equation of the new line is

y = m'x + c'

y = -x + 6

Therefore, the new line is y = -x + 6.

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The complete question is as follows:

What is the equation of the line that is perpendicular to

the given line and has an x-intercept of 6?

y = x + 6

A. y = -x + 8

B. y = -x + 6

C. y = x - 8

D. y = x - 6.

On one day at a local minigolf course, there were 365 customers who paid a total of $3,100. If the cost for a child is $8 per game and the cost for an adult is $11 per
game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
11x + 8y = 365
x+y = 3100
O11x+8y=3100
x+y = 365
O8x + 11y = 365
x+y=3100
O 8x + 11y = 3100
x+y = 365

Answers

The equations for modelling the scenario is 8x + 11y = 3100

x + y = 365 (option d)

Given,

Total number of customers at a local mini golf house = 365

Total amount paid by a customer = 3100

The cost for a child per game is = $8

The cost for an adult per game is = $11

So,

First equation will be:

x represents the number of children

y represents the number of adults

x + y = 365

Second equation is :

x represents the number of children

y represents the number of adults

Total amount paid by a customer = 3100

The cost for a child per game is = $8

The cost for an adult per game is = $11

8x + 11y = 3100

The equation of the given statement:

8x + 11y = 3100

x + y = 365

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Answer:

option D

Step-by-step explanation: the answer d

Slope please help algreab 1

Answers

Answer:

1/2x-2

Step-by-step explanation:

sise over run and then graph on desmos

Answer:

y = [tex]\frac{1}{2}[/tex] x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )

m = [tex]\frac{-5-1}{-6-6}[/tex] = [tex]\frac{-6}{-12}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 1 )

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

A teacher can spend as much as $140.00 to take students to a movie. A movie
theater charges a $15.00 group fee and $7.25 per ticket.
о Set uр аn Едиation:
How many students can
teacher
the
take to the movie?

Answers

Answer:

17 students

Step-by-step explanation:

140-15=125

125/7.25=17.2....

rounded to 17

Solve the inequality for x and identify the graph for its solution |x+3|>2

Answers

Answer:

Inequality Form:

x<−5 or x>−1

Interval Notation:

(−∞,−5)∪(−1,∞)

Step-by-step explanation:

The bar graph displays data on the numbers of babies born each day of the week in the United States in a recent week.
All data in the graph are approximate.
Which of the following choices gives the most complete description of the information presented in the bar graph?

Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).

Births occurred with similar frequencies, regardless of the day of the week.

Births occurred with the lowest frequency on Sundays.

The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.

Week day births seem to be twice as common as weekend births.

Answers

The correct statements regarding the given bar graph are given as follows:

Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).Births occurred with the lowest frequency on Sundays.The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.

What does a bar graph show?

A bar graph shows the number of times that each observation appears in the data-set.

Hence, from this bar graph, we have that the average number of births per day, from Sunday to Saturday.

Births are more common during weekdays, the close to 7000 on Sunday, the maximum is close to 13000 on Tuesdays, hence the correct statements are given as follows:

Births occurred with similar frequencies on the week days (Monday through Friday), but with noticeably smaller frequencies on the weekend days (Saturday and Sunday).Births occurred with the lowest frequency on Sundays.The minimum number of births appears to be approximately 7000, which occurred on Sunday. The maximum number of births appears to be approximately 13,000, which occurred on Tuesday.

From the bar graph, the biggest ratio is of 13/7 < 2, hence week day births are not quite twice as common.

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find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−8, 0, 0) and q(−2, 0, 0).

Answers

The plane is defined by the equation, x = -3.

What do we mean by equations?A mathematical statement made up of 2 expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value for the variable x as x = 7 after solving this equation.

To find the equation:

The distance from p(-9, 0, 0) seems to be:

d = sqrt((x+9)² + y² + z²)

The separation from q(3,0,0) would be:

d = sqrt((x-3)² + y² + z²)

Let's make them the same size as follows;

sqrt((x+9)² + y² + z² ) = sqrt((x-3)² + y² + z² )

Square both sides before simplifying:

(x+9)² + y² + z² = (x-3)² + y² + z² x² + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y² + z² 18x + 81 = - 6x + 9 24x + 81 = 9 24x = -72 x = -3

Therefore, the plane is defined by the equation, x = -3.

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The complete question is given below;
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3, 0, 0). (enter your answers as a comma-separated list of equations.)

On a number line, point A is located at 9 and point B is located at -5. What is AB?

Answers

Answer:

14

Step-by-step explanation:

Im pretty sure its 14

so point A is at -5 which is here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A

and point B is located here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A                                                                                    B

the distance would be:

-5+5= 0      ( the bold numbers are the ones you add together)

then

0+9=9

so 5+9= 14

11. There are 106 nails in one pound of 8d com-
mon nails. How many are in a 50-pound box?

Answers

Answer:

5300

Step-by-step explanation:

Can someone please help me.

Answers

Yeah I can help you what do you need?

Answer:

you what do u need help with?

Topic #2: Distance & Midpoint
9. Find ST if S(-3, 10) and T(-2, 3).

Answers

Answer:

ST = 7.07 units

Step-by-step explanation:

Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control conditions can be attributed to age or personality differences in research participants?.

Answers

The technique that most clearly minimizes the likelihood that any outcome differences between the experimental and control groups is e. random assignment.

What is random assignment?

A methodology used to divide research participants into two groups—the treatment group, also known as the experimental group, and the control group—by randomization is known as random assignment, also known as random placement.

Every research volunteer has an equal chance of being assigned to any of the groups thanks to this randomization mechanism.

In studies, random assignment is a method used to divide participants into different research groups with similar characteristics so that the groups are equal at the start of the investigation.

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Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control groups can be attributed to age or personality differences in research participants?

a. the double-blind procedure

b. statistical measurement

c. replication

d. operational definitions

e. random assignment

What is 0.57 as a fraction?

*57 REPEATING*

*IN THE SIMPLEST FORM*

WHOEVER GETS IT RIGHT GETS 5 STARS AND THE BRAIN COWN THING

Answers

Answer:

19/33

Step-by-step explanation:

57 repeating = 0.57

1. x = 0.57

2. mutiply each side by 10² = 100

100x = 57.57...

3. subtract

x = 0.57 from 100x = 57.57...

and get 99x = 57.

4. solve for x

x = 57/99

5. find the GCF of 57 and 99

57 ÷ 3 = 19

---- --- ----

99 ÷ 3 = 33

6. x = 19/33

(4x-1)(3x^2+3x-5) (4x−1)(3x 2 +3x−5)

Answers

Hi.

Answer:

[tex]\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

Step-by-step explanation:

[tex](aa=a^2) \left(4x-1\right)\left(4x-1\right)=\left(4x-1\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)\\\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)=\left(3x^2+3x-5\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

What is the image of the point
(
0
,
4
)
(0,4) after a rotation of
18
0

180

counterclockwise about the origin?

Answers

The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4).

According to the statement

We have to find that the coordinates after the rotation.

So, For this purpose, we know that the

Rotation means a degree is being moved in clockwise or counterclockwise direction with some angle.

From the given information:

The point is a (0,4)

The rotation is drained 90, 180, 270 degrees.

Given point is:(0,4)

When some extent (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.

So for the given point the coordinates will become (-0,-4)

Then,The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

So, The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

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Reflect ABC over the y-axis and then translate by
(2, -3).

Answers

Answer:

just flip it

Step-by-step explanation:

A recent survey by the American Automobile Association showed that a family of 2 adults and 2 children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. Assuming the data are normally distributed,find the nearest hundredth, the Z-scores for each of the following vacation expense amounts. If the data are normally distributed, find the
percentage of families who spent:
a. Less than $167 per day.
b. Less than $367 per day.
c. More than $247 per day.
d. More than $350 per day.
e. Less than $67 per day.
f. Between $200 and $300 per day.
g. Between $360 and $400 per day.
h. More than the median.
i. Less than the mean.

Answers

Using the normal distribution, the percentages are given as follows:

a. 9.18%.

b. 97.72%.

c. 50%.

d. 4.27%.

e. 0.13%.

f. 59.29%.

g. 2.46%.

h. 50%.

i. 50%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 247, \sigma = 60[/tex]

For item a, the proportion is the p-value of Z when X = 167, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (167 - 247)/60

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

Hence the percentage is of 9.18%.

For item b, the proportion is the p-value of Z when X = 367, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (367 - 247)/60

Z = 2.

Z = 2 has a p-value of 0.9772.

Hence the percentage is of 97.72%.

For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (247 - 247)/60

Z = 0.

Z = 0 has a p-value of 0.5.

1 - 0.5 = 0.5.

Hence the percentage is of 50%.

For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (350 - 247)/60

Z = 1.72

Z = 1.72 has a p-value of 0.9573.

1 - 0.9573 = 0.0427.

Hence the percentage is of 4.27%.

For item e, the proportion is the p-value of Z when X = 67, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (67 - 247)/60

Z = -3.

Z = -3 has a p-value of 0.0013.

Hence the percentage is of 0.13%.

For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:

X = 300:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (300 - 247)/60

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

X = 200:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (200 - 247)/60

Z = -0.78.

Z = -0.78 has a p-value of 0.2177.

0.8106 - 0.2177 = 0.5929.

Hence the percentage is of 59.29%.

For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:

X = 400:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (400 - 247)/60

Z = 2.55.

Z = 2.55 has a p-value of 0.9946.

X = 360:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (360 - 247)/60

Z = 1.88.

Z = 1.88 has a p-value of 0.97.

0.9946 - 0.97 = 0.0246.

Hence the percentage is of 2.46%.

For items h and i, the distribution is symmetric and the mean and the median are equal, hence both percentages are 50%.

More can be learned about the normal distribution at https://brainly.com/question/4079902

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Given 33.8 × 2.5, find the product.

Answers

Answer:

84.5

Step-by-step explanation:Multiply 338 ✖ 25The answer is 2450.Jump the decimal two times from one's placeThe answer will be 84.5

Does the figure above appear to have rotational symmetry?if yes, select the angles of rotation less than 360°

Answers

Yes it does have rotational symmetry
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