1.Below are the scores from team Mexico in the women’s swim team competition. Mexico received a score from seven judges in different countries. Their overall score is an average of the seven scores. What is team Mexico’s overall score?

A)What was Mexico’s total scores?



B. What was the overall average of their scores?

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

Step-by-step explanation:

10p = 30

or, 10*3 = 30

Therefore , the value of p should be 3 to make the statement true.

Write the original equation.                                      10p = 30

Undo multiplication by dividing each side by 10.    10p/10 = 30/20

Simplify.                          p = 3

Answer:

marsh.

Step-by-step explanation:

hope it help goodluck bro............

Answer:

2 x 10^6

Step-by-step explanation:

10^6 = 1,000,000

2 x 1,000,000 = 2,000,000

10^5 = 100,000

9 x 100,000 = 900,000

2,000,000 > 900,000

A cumulative relative frequency distribution shows option (A) the proportion of data items with values less than the upper limit of each class

A cumulative relative frequency distribution shows the proportion of data items with values less than or equal to the upper limit of each class. It provides a cumulative summary of the data distribution by adding up the frequencies or proportions of all preceding classes.

To construct a cumulative relative frequency distribution, you start with the lowest class and calculate the relative frequency (proportion) of data items in that class. Then, for each subsequent class, you add the relative frequency of that class to the cumulative relative frequency from the previous class. This cumulative value represents the proportion of data items with values less than or equal to the upper limit of the current class.

In essence, a cumulative relative frequency distribution allows you to track the accumulation of data values as you move through the classes, giving insights into the overall distribution and the proportion of data items falling below specific values.

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Hello !

\(a - (a - b) - b - (b - a)\\\\= a - a + b - b - b+a\\\\\boxed{= a - b}\)

Answer:

Step-by-step explanation:

a - ( a - b ) - b - ( b - a )

= a - a + b - b - b + a

= a - b

Answer:

#2: y-intercept=-2

Bottom left graph: Slope:4/2

y-intercept:-2

Equation: y=4/2x-2

Bottom right graph: Slope:-2

y-intercept:8

Equation: y=-2x+8

The constant rate of change of the linear function in this problem is given as follows:

3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

From the graph given at the end of the answer, we have that when x increases by 2, y increases by 6, hence the rate of change is given as follows:

m = 6/2

m = 3.

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Answer:

s = 3

Step-by-step explanation:

We model the proportion with the equation:

\(s =\frac{k}{t}\)

We have s and t, but we need to find the k (i.e., the constant of proportionality) by plugging in the s and t we already have:

\(0.9=\frac{k}{2}\\ 1.8=k\\s=\frac{1.8}{t}\)

To find s when t = 0.6, we simply plug in 0.6 for t in last equation we found with k:

\(s=\frac{1.8}{0.6}\\ s=3\)

The depth of the submarine after 7 minutes is given as follows:

-107 feet.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

d(x) = -240 + 19x.

Hence the depth after 7 minutes is found replacing the lone instance of x by 7, as follows:

d(7) = -240 + 19 x 7

d(7) = -107 feet.

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Answer:

  BP is a diagonal of the square having angle B as one corner

Step-by-step explanation:

You want to show that P(2, 0) lies on the bisector of angle ABC, where A(-4, 2), B(0,-6), and C(6, -3).

We can think of perhaps half a dozen ways to show this, none of which seem to be super-simple. The first attachment shows the use of a geometry app to draw the angle bisector of ∠ABC. We notice it passes through point P.

Plotting the points on a graph, we observe that AB has a slope of -2, and BC has a slope of 1/2. Line BP has a slope of 3.

The product of slopes of BA and BC is (-2)(1/2) = -1, which makes angle ABC a right angle. If BP is its bisector, then angles PBA and PBC must both be 45°. The demonstration of this is shown in the third attachment by computing the ratios (vector BA/vector BP) and (vector BP/vector BC). The angle of each vector ratio is 45°, the angle between the vectors in the ratio.

We can use the "distance to a line" formula to show the the distances from P to lines BA and BC are the same. This requires we write equations for those two lines. (Daunting, so we're not ready to do that yet.)

The slope of a line is the tangent of the angle it makes with the x-axis. By finding the angles that BC and BA make with the x-axis, we can compute the angle of the bisector (the average of those two angles) and see if its tangent matches the slope of BP. This is done in the second attachment. The angle computation shows the bisector slope must be 3, which is the slope of line BP.

Maybe the simplest method is to use the angle sum formula for tangents to add the angle 45° to the angle of BC. The result should be the slope of BP.

Where α is the angle BC makes with the x-axis, we have ...

  tan(α+45°) = (tan(α) +tan(45°))/(1 -tan(α)tan(45°))

  = (1/2 +1)/(1 -(1/2)(1)) = (3/2)/(1/2) = 3 . . . . matches the slope of BP

__

Additional comment

There are still more ways to show BP is an angle bisector. Point X(4, -4) is a point such that BX and XP are perpendicular and BX=BP. That is BP is a diagonal of the square of which B, X, and P are three corners. Hence BP bisects the right angle at B. (This method simply looks at the graph to observe the slopes and lengths of the various line segments making the square. It requires virtually no math—so takes some discussion to qualify as a "proof".)

We can find point Y where line AC intersects BP, and show that segments AY and CY are proportional to segments BA and BC. This is a condition that is true when BY bisects angle B. (The math for this gets pretty messy.)

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Answer:

Step-by-step explanation:

The perimeter of a triangle with sides l=m/3, n=l+m-15, and m is 65 feet. You want to know the lengths of the sides.

The perimeter is the sum of the side lengths.

  P = l +m +n

  P = (1/3)m +m +(l +m -15) = (1/3)m +m +(1/3)m +m -15

  65 = 8/3m -15 . . . . . simplify, use P=65

  80 = 8/3m . . . . . . . . add 15

  30 = m . . . . . . . . . . . multiply by 3/8

Then the other sides are ...

  l = 1/3m = 1/3(30) = 10

  n = l +m -15 = 10 +30 -15 = 25

The lengths of the sides are l = 10 ft, n = 25 ft, m = 30 ft.

pie = she left you x=63 y=3728

Answer:

I love you too Drizz...

Step-by-step explanation:

♡

The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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Answer:

Step-by-step explanation:

10/100*132

Answer:

Step-by-step explanation:

The formula of C.P is Selling Price - Profit

Here the S.P. =132

Profit = 10%

Converting 10% = 10/100*132

                             = 13.2

Putting values into Formula :

132-13.2 = 118.8

so, the answer is 118.8

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The table for the graph is

x   -2  -1  0  1  2

y  -4   -2 0  2  4

The similarity is: Both lines have positive slopes

The difference is: Both lines have different slopes

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

y = 2x

The missing y values are at x = 0 and x = 2

So, we have

y = 2 * 0 = 0

y = 2 * 2 = 4

We have

y = x

y = 2x

From the above, the similarity is:

Both lines have positive slopes

And, we have the difference to be

Both lines have different slopes

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If the car had not hit the fence, it would have skidded an extra distance of approximately 275.51 meters.

We have,

The skid distance formula is as follows:

Skid Distance = (v²) / (2 * μ * g)

Where:

v is the initial velocity of the car before braking

μ is the coefficient of friction between the tires and the road surface

g is the acceleration due to gravity

The initial velocity of the car is 30 m/s and the coefficient of friction is 0.8.

Substituting these values into the skid distance formula,

Skid Distance = (30²) / (2 * 0.8 * 9.8) = 275.51 meters

(rounded to two decimal places)

Therefore,

If the car had not hit the fence, it would have skidded an extra distance of approximately 275.51 meters.

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The complete question:

If the car had not hit the fence, how much farther would it have skidded? Solve the skid distance formula to find the extra distance that the car would have traveled if it had not hit the fence.

The initial velocity of the car is 30 m/s and the coefficient of friction is 0.8.

Round your answer to two decimal places.

Note that unit conversion is built into the skid distance formula, so no unit conversions are needed.

From this proportion of days he does the activities, sometimes they will meet in one day.

He will do both in the same day when the day is a common factor of 3 and 4.

Since today he did both, the next time he will do so will be in the least common factor of 3 and 4.

To get the least common factor of these, we can identify the divisors of each and makes the divisions until both get to 1. If one of the divisiors is divisior for both, we don't repeat it.

So, from 3 and 4, we can start by the divisior of 2. 2 Is a divisior of 4, but not of 3, so we divide only the number for:

3, 4 | 2

3, 2 |

Now, we have 3 and 2, so we can divide for 2 again:

3, 4 | 2

3, 2 | 2

3, 1 |

Now, we have 3 and 1, so we can only divide by 3 now:

3, 4 | 2

3, 2 | 2

3, 1 | 3

1 , 1 |

So, in the end we have 2, 2 and 3, so the least common factor is 2*2*3 = 12.

Since the common factor of 3 and 4 is 12, Tyler will lift and jog on the same day 12 days after today.

The number of possible combinations of three coins from the bag of 16 coins with different dates can be calculated using the formula for combinations, which is nCr = n! / r!(n-r)!, where n is the total number of objects, r is the number of objects to be chosen, and ! denotes factorial (the product of all positive integers up to the given number).

In this case, we have n = 16 (the total number of coins in the bag) and r = 3 (the number of coins to be chosen for each combination). Using the formula for combinations, we can calculate the number of possible combinations as follows:

nCr = 16! / 3!(16-3)!
nCr = (16 x 15 x 14) / (3 x 2 x 1)
nCr = 560

Therefore, 560 possible combinations of three coins can be chosen from the bag of 16 coins with different dates. These combinations could represent different historical events, significant dates, or other symbolic meanings depending on the dates inscribed on the coins. The calculation of combinations is an important concept in combinatorics and probability theory, and it has many real-world applications in fields such as statistics, economics, and computer science.

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Step-by-step explanation:

Interior angles of a 5-gon    sum to   ( 5-2)(180 = 540 degrees

smallest angle =x

largest angle = x + 4d    

          where d is the arithmetic sequence common difference

x + 4d     -x     =  44    shows d = 11

then    x    + x+d    + x+2d   + x+3d   + x + 4d = 540

      5x + 10d = 540      we know d = 11

       5x + 10(11) = 540

         5x = 430

           x = smallest angle = 86 degrees

The smallest interior angle of the pentagon is 86 degrees. This was found by setting up an equation involving the common difference "d" in the arithmetic sequence of angles and solving for "x."

Let's denote the five interior angles of the pentagon as follows:

Let the smallest angle be "x" degrees.

The other four angles form an arithmetic sequence, so we can represent them as x + d, x + 2d, x + 3d, and x + 4d, where "d" is the common difference between the angles.

Now, we know that the difference between the largest angle and the smallest angle is $44^\circ$. Therefore, we can write the equation:

(x + 4d) - x = $44^\circ$

Simplify and solve for "d":

4d = $44^\circ$

Now, divide both sides by 4 to find the value of "d":

d = $44^\circ / 4 = $11^\circ

Now that we know the common difference "d" is $11^\circ", we can find the smallest angle "x" by using the equation for the sum of angles in a pentagon, which is 540 degrees:

x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 540

Simplify and solve for "x":

5x + 10d = 540

5x + 10($11^\circ) = 540

5x + $110 = 540

Now, subtract $110 from both sides:

5x = 540 - $110

5x = $430

Finally, divide by 5 to find the smallest angle "x":

x = $430 / 5 = $86

So, the smallest angle of the pentagon is $86 degrees.

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Answer:

he said ‎help please!! tasks from 9 to 16!! Very necessary!! Thank you so much in advance!! <Z‎

Step-by-step explanation:

your welcome

Answer:0

Step-by-step explanation:

Adding the same number together with one being negative will result in a 0.

The absolute maximum and minimum represent the highest and lowest points of a function over its entire domain, while local extrema represent the highest and lowest points within a specific interval or neighborhood of a function.

The absolute maximum and minimum are similar to the local extrema in that they are both points on a function where the function reaches its extreme values. However, they differ in terms of their scope.

The absolute maximum and minimum are the highest and lowest values of a function over its entire domain, respectively. These values represent the overall highest and lowest points on the function. In contrast, local extrema are the highest and lowest points within a specific interval or neighborhood of a function.

To find the absolute maximum and minimum, you need to consider the entire domain of the function and analyze the function's behavior at all points. On the other hand, to find local extrema, you only need to focus on a specific interval and analyze the function's behavior within that interval.

In summary, the absolute maximum and minimum represent the highest and lowest points of a function over its entire domain, while local extrema represent the highest and lowest points within a specific interval or neighborhood of a function.

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Answer:

y-5=2.5(x-2)

Step-by-step explanation:

Since we know the slope, we know what x is. x is equal to 2.5. Therefore, the equation will be y=2.5x+?. The y-intercept on this graph is 0. This is because the only point on the y line is (0,0). Therefore, the y-intercept is 0. Therefore, the equation is y=2.5x.

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The solution of expression is,

⇒ (6 + a⁴b) / a²b²

We have to given that,

An expression to solve is,

⇒ 6/a²b² + a²/b

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, WE can simplify the expression as,

⇒ 6/a²b² + a²/b

Take LCM;

⇒ (6 + a² × a²b)  / a²b²

⇒ (6 + a⁴b) / a²b²

Therefore, The solution of expression is,

⇒ (6 + a⁴b) / a²b²

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Answer:

Step-by-step explanation

Answer:

  220 kW

Step-by-step explanation:

You want the power used by a single lathe when a mill uses 4 times as much, and a mill plus 3 lathes uses 1540 kW.

Let p represent the power used by a single lathe. Then a mill uses 4p, and the given total is ...

  (4p) +3p = 1540

  7p = 1540 . . . . . . collect terms

  p = 220 . . . . . . . divide by 7

A single lathe uses 220 kW.

Answer:

216

Step-by-step explanation:

Split the image into geometric shapes, and then calculate the area of each shape, then add them all up to get your grand total of 216

Answer:

297,433 rounded to the nearest hundred would be 297,400. You can see that 33 is less than 50, so it would be rounded down to 0.