Myron records the number of chirps per minute (x) that crickets make at
different temperatures (v) in degrees Fahrenheit.
He determines that the association is linear and that the line of best fit is
y=+50.
What is the interpretation of the slope and y-intercept of this equation?

A. The slope predicts a temperature increase of about 50° for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x = 0), the temperature is 0°.

B. The slope predicts a temperature increase of about 6* for every
increase of 50 chirps per minute. The y-intercept shows that when
the crickets are not chirping (x= 0), the temperature is

OC. The slope predicts a temperature increase of about for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x = 0), the temperature is 50°.

D. The chirping increases as the temperature goes down.

The side length of the given square having an area of 81 cm² is 9cm.

Given side length of the square (c) = ?

The square with side length 'c' having an area of = 81 cm²

From the above line, we have given an equation. It is

c² = 81 cm²

We know that, the area of the square = side length²

So, to find out the side length of the square we have to find the "c" value.

C² = 81 cm²

C = √81 cm²

C = 9 cm.

From the above analysis, we can conclude that the given square is having a side length of 9cm.

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Given question is not having clear information. I am attaching the clear question below:

Answer:

The answer is B

Step-by-step explanation:

The graph is a polynomial function of the x- intercepts

(-2, 0) (1, 0) and (4, 0)

When Suzi stuck two lumps of coal in Mr Snowman's face He exclaimed "I can see!"

Suzi was a little and yet mischievous girl who came to play with Mr. Snowman who lived in the snowy wonderland. He however had no eyes and Suzi noticed this.

So, Suzi decided that she would make Mr. Snowman capable of seeing and so found two lumps of coal and stuck them in Mr. Snowman's face. Mr. Snowman exclaimed in a deep, booming voice, "I can see!" Suzi was surprised and delighted to hear the snowman talk.

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The missing coordinate is r = 4. The point (-2, 4) lies on the line with slope -3 passing through (-5, 13).

The slope of the line passing through the points (-5, 13) and (-2, r) is given by:

m = (r - 13) / (-2 - (-5)) = (r - 13) / 3

We are also given that the slope of the line is -3. Therefore, we can set the two expressions for the slope equal to each other and solve for r:

(r - 13) / 3 = -3

r - 13 = -9

r = 4

Therefore, the missing coordinate is r = 4. The point (-2, 4) lies on the line with slope -3 passing through (-5, 13).

In this problem, we are given one point (-5, 13) and a second point with a missing y-coordinate (-2, r). However, we are also given the slope of the line (-3).

Using the formula for slope, we can set up an equation that relates the change in y-coordinate to the change in x-coordinate between the two points. Solving for the missing y-coordinate gives us the value of r = 4.

In summary, this problem demonstrates how we can use the formula for slope to find a missing coordinate of a point on a line when we know the slope and one other point on the line.

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We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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The statements regarding the mean absolute deviation of 4.3 are classified as follows:

To calculate the mean of a data-set, we add all the observations in the data-set, and then divide by the cardinality, which is the number of observations in the data-set. The concept of the mean is needed to calculate the mean absolute deviation.

Each deviation in a data-set is calculated  the absolute value of the difference between the observation and the mean. As the absolute value is used, the set of observations contained the deviations is composed only by zero or positive values.

Hence the mean absolute deviation (MAD) applying the mean concept to the data-set containing the deviations, and represents the average by which the measures in the data-set differ from the mean.

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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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The annual percentage yield to the nearest 0.01% if the investment is $1000 is 4.43%

The annual percentage yield (APY) takes into account the effect of compounding on an investment. It is the actual annual rate of return earned on an investment, taking into account the effect of compounding. To calculate the APY, we need to use the following formula:

APY = (1 + (APR / n)) ^ n - 1

where APR is the annual percentage rate, and n is the number of compounding periods per year.

In this case, the APR is 4.3% and the compounding is daily. Therefore, we have:

n = 365 (number of days in a year)

APR = 4.3%

Using the formula above, we get:

APY = (1 + (0.043 / 365)) ^ 365 - 1

APY = 0.0443 or 4.43%

Therefore, the annual percentage yield is 4.43%, rounded to the nearest 0.01%. This means that if you invest $1000 at an APR of 4.3% compounded daily, you will earn an actual annual rate of return of 4.43% due to the effect of compounding.

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Answer: Where is the question

The volume of the pyramid is 605 cubic centimeters.

To calculate the volume of a pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the base of the pyramid is a square with a dimension of 11 cm. The base area can be calculated by squaring the length of one side of the square:

Base Area = 11 cm x 11 cm = 121 [tex]cm^2[/tex]

The height of the pyramid is given as 15 cm.

Now we can substitute these values into the volume formula:

Volume = (1/3) x 121 x 15

Volume = (1/3) x 1815

Volume ≈ 605 [tex]cm^3[/tex]

Therefore, the volume of the pyramid is approximately 605 cubic centimeters.

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Answer:

  50%

Step-by-step explanation:

You want to know the fraction of the area under the curve that is shaded white.

The white area is equal to the blue area, so represents 1/2 of the total area:

  white = 1/(1+1) = 1/2 · 100% = 50%

50% of the total area is shaded white.

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Answer:

1837.711 feet

Step-by-step explanation:

sin (86.03)= 183.27 over x H degrees

183.27/sin (86.03)

which = 1837.711 feet

Kennedy will pay $46.58 to mail all four packages.

Given that; Kennedy wants to mail three packages that each weigh 2.25 pounds.

Hence:

The weight of packages is:

3 × 2.25 pounds per package = 6.75 pounds

He also wants to mail another package that weighs 1.75 pounds. Therefore, the total weight of all the packages is:

6.75 pounds + 1.75 pounds = 8.5 pounds

To determine the total cost of mailing all four packages, we need to multiply the total weight by the cost per pound.

Since the cost per pound is given as $5.48.

Therefore, the total cost will be:

Total cost = 8.5 pounds × $5.48 per pound

Total cost = $46.58

Therefore, the total cost of mailing all the packages is $46.58.

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The APR on a loan of $400 with a fee of $52 for two weeks is D) 339%.

The APR or the annual percentage rate refers to the interest rate and other finance fees charged on a loan for a year.

The annual percentage rate represents the actual yearly cost of funds over the term of a loan.

The total payday loan = $400

The fee paid for two weeks = $52

The loan period = 14 days (2 weeks)

The number of calendar days in a year = 365 days

The APR for the payday loan = 339% ($52/$400 x 365/14 x 100)

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The transformation applied to the triangle is a rotation.

Here we have a transformation that maps the blue triangle into the orange one.

Remember that neither a translation nor a dilation change the orientation of the figure, so we can discard these two.

If it was a reflection, we should be able to find a line of symmetry between the two figures, and we can't do that here, then we can conclude that the transformation applied was a rotation.

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Answer:

$282

Step-by-step explanation:

if one telephone costs $47 and you want to find the cost of six telephones, you multiply 47 x 6 = 282.

The surface area of the triangular prism is 77 units²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a prism is calculated by adding all the area of the surfaces.

area of the two triangles = 2( 1/2 bh)

= bh

= 3 × 4 = 12 units

area of the two squares =2 l²

= 2(5²) = 50 units

area of the rectangle = l× w

= 5 × 3

= 15 units

The surface area of the prism

= 12 + 50 +15

= 77 units²

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The value of x from the given figure is 8/3

Perimeter of a parallelogram

The sum of all the ides of the parallelogram is perimeter.

According to the given figure;

2(3x-8)+2(16) = 32.2

Expand to have:

6x-16 + 32 = 32.2

6x + 16 = 32.2

Subtract 16 from both sides

6x = 16

x = 16/6

x = 8/3

Hence the value of x from the given figure is 8/3

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complete question;

The perimeter of the parallelogram below is 32.2. What equation would you set up to solve for x? What is the value of x?

Answer:

8b + 50

A) b is the variable

B) 8b + 50

C) She would earn $170 if she worked for 15 hours and got a bonus.

Step-by-step explanation:

In order to calculate 1%, you need to know how percentage works and how to calculate the percentage of any number. Percentage means a number divided into 100 parts. For example, you have a huge cake and you have 100 guests. You need to divide that huge cake into 100 parts. Basically, every guest is getting 1% of the cake. That was pretty easy to calculate but what if, you have a huge cake and you have 50 guests? How much percent of the cake will each guest will be having? There are two ways to solve it, the old-fashion way and the quick way, we will discuss both ways, don't worry. The old-fashion way provides a great explanation for the concept of percentage. It might be a little bit time-consuming but it is worth it. As the words tell you, the quick way is very quick but there is not much learning about percentage in it.

The relative frequency of teachers to the total people who ordered in the cafeteria yesterday is 5.71%.

The relative frequency shows the percentage of data distribution.

The relative frequency describes the number of times an event occurs divided by the total number of events occurring in the given scenario.

We can compute the relative frequency by dividing the chosen data value by the relevant total value, and multiplying by 100.

Type of Lunches

               Teacher               Student                        Total

Pizza             8 (209 -201)      201 (479 - 186 -92)   209

Sandwich    12                        186                            198 (Teacher = 12 (198 - 186)

Salad            9                         92                            101 (9 + 92)

Total          29                       479                            508 (29 + 479)

Type of Lunches

               Teacher   Student       Total

Pizza             8           201              209

Sandwich    12           186               198

Salad            9            92                101

Total          29          479               508

Relative Frequency of teachers to the total in the cafeteria = 5.7086% (29 ÷ 508 x 100)

= 5.71%

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Answer:

No, this figure is not a polygon

Step-by-step explanation:

Given statement solution is :- m <m<angle TVU <angle VWU this inequality tells us that the sum of angles <V and <m<angle VWU must be less than 90 degrees, the contradiction proof is complete.

To prove that m <m<angle TVU <angle VWU, we can use the given information and the properties of angles formed by intersecting lines.

Given:

TV = UW (1)

TU > VW (2)

To Prove:

m <m<angle TVU <angle VWU

Proof:

Since TV = UW (given), we can conclude that <T and <U are corresponding angles.

Now, consider the triangle TVU. By the Triangle Sum Theorem, the sum of the measures of the interior angles in a triangle is 180 degrees. Therefore, we have:

<T + <V + <U = 180° (3)

Since <T and <U are corresponding angles, we can substitute their measures in terms of <m<angle TVU and <m<angle VWU:

<m<angle TVU + <V + <m<angle VWU = 180° (4)

From equation (4), we can isolate the terms <m<angle TVU and <m<angle VWU:

<m<angle TVU = 180° - (<V + <m<angle VWU) (5)

Now, let's focus on the triangle VWU. By the Triangle Inequality Theorem, the sum of the measures of any two sides of a triangle is always greater than the measure of the third side. Since TU > VW (given), we have:

TV + VW > TU (6)

Substituting TV = UW (from equation (1)), we get:

UW + VW > TU (7)

Now, consider the segment UV. By the Exterior Angle Theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. In this case, we have:

<m<angle TVU = <V + <m<angle VWU (8)

Combining equations (5) and (8), we have:

180° - (<V + <m<angle VWU) = <V + <m<angle VWU

Simplifying this equation, we get:

180° = 2(<V + <m<angle VWU)

Since the sum of two angles cannot exceed 180 degrees, we can conclude that:

180° - 2(<V + <m<angle VWU) > 0

Dividing both sides by 2, we have:

90° - (<V + <m<angle VWU) > 0

Adding (<V + <m<angle VWU) to both sides, we get:

90° > (<V + <m<angle VWU)

This inequality tells us that the sum of angles <V and <m<angle VWU must be less than 90 degrees. Therefore, we can conclude that:

m <m<angle TVU <angle VWU

Hence, the contradiction proof is complete.

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Answer:

  (0, -4)  and  (6, 0)

Step-by-step explanation:

You want two solutions to 2x -3y = 12.

Each intercept is the value of the variable when the other is zero. Here, they are easy to find by dividing the constant by the variable's coefficient:

  x-intercept: 2x = 12   ⇒   x = 12/2 = 6 . . . . point (6, 0)

  y-intercept: -3y = 12   ⇒   y = 12/-3 = -4 . . . . point (0, -4)

__

Additional comment

The intercepts can be used as two points on the line when you want to graph it. They can also be used to estimate the quadrant of the solution when you are working with a system of two equations.

For example, these intercepts tell you there will be no solutions in quadrant II. Any solutions in the first quadrant will have x-values greater than 6. Any in the third quadrant will have y-values less than -4.

If you want other solutions, it is convenient to choose x-values that are multiples of 3, and/or y-values that are multiples of 2. These will ensure integer solutions.

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The mean absolute deviation of 4 in data set is -7

First, we need to determine the value of the mean

We have from the information given that;

6, 22, 14, 9, 11, 4​

Mean = sum of the given set of data/number of the data given

Substitute the values, we have that;

Mean = 6 + 22 + 14 + 9 + 11 + 4/6

add the values, we get

Mean = 66/6

Divide the values

Mean = 11

Mean absolute deviation = data value - mean

Mean absolute deviation = (4 -11) = -7

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The equation of the mathematical statement is: y= 1.75x.

Based on the information given, we can assume that the growth per year for Amy's tree is given by:

y = 1.75x

where x is the number of years after planting the seed.

However, this is not in the form of y = mx + b.

To write it in that form, we need to isolate y on one side of the equation:

y = 1.75x + 0

where m = 1.75 and b = 0.

Therefore, the equation of the mathematical statement is:

y = 1.75x + 0 or simply y = 1.75x.

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The correct options are A. Column A and B. Column B, which represent categories data.

Based on the given information, the categories data can be identified as follows:

A. Column A represents categories data as it lists the different books (Book 1, Book 2, Book 3, Book 4, Book 5).

B. Column B represents categories data as it provides the type of cover for each book (Hardcover, Paperback, Paperback, Hardcover, NA).

C. Column C represents numerical data as it provides the weights of the books (3.5lbs, 0.75lbs, 0.5lbs, 4.0lbs, 3.23lbs).

Therefore, the correct options are A. Column A and B. Column B, which represent categories data.

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The parabola intersects the x-axis at the point (4.5, 0), and the x-intercept is 4.5.

To find the x-intercepts of a parabola, we need to determine the values of x where the graph intersects the x-axis. At the x-intercepts, the y-coordinate is always 0.

Given the information about the parabola falling from the left, passing through the point (3, 2), rising to the right, and passing through the point (6, 2), we can determine the equation of the parabola.

Since the parabola is symmetric, we can find the axis of symmetry (x-coordinate of the vertex) by taking the average of the x-values of the two given points:

x-coordinate of the vertex = (3 + 6) / 2 = 4.5

Now, we know the vertex of the parabola is (4.5, 0).

The equation of the parabola can be written in vertex form as follows:

y = a(x - h)^2 + k

where (h, k) represents the vertex. Since the vertex is (4.5, 0), we have:

y = a(x - 4.5)^2 + 0

Simplifying, we get:

y = a(x - 4.5)^2

To find the value of 'a', we can substitute one of the given points on the parabola. Let's use the point (3, 2):

2 = a(3 - 4.5)^2

2 = a(-1.5)^2

2 = 2.25a

a = 2 / 2.25

a = 8/9

Therefore, the equation of the parabola is:

y = (8/9)(x - 4.5)^2

To find the x-intercepts, we set y = 0:

0 = (8/9)(x - 4.5)^2

Setting each factor equal to zero, we get:

(x - 4.5)^2 = 0

Taking the square root of both sides, we find:

x - 4.5 = 0

Solving for x, we get:

x = 4.5

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