based on the performance of those who took the gre exam between july 1, 2004 and june 30, 2007, the average verbal reasoning score was calculated to be 462. in 2011 the average verbal score was slightly higher. do these data provide convincing evidence that the average gre verbal reasoning score has changed since 2004?

The measure of each interior angle of a regular octagon is 135°.

An octagon is an eight-sided polygon with eight interior angles, and a regular octagon is an eight-sided polygon with eight interior angles of equal measure (congruent angles) and eight sides of equal length (congruent sides).

An octagon is composed of eight angles that sum to 1080 degrees.

The sum of the interior angles of a polygon with n sides is (n-2)×180°.

To get the interior angle, you must divide the sum of the interior angles by the number of sides.

A regular octagon has eight sides, so to find the measure of each interior angle of a regular octagon, divide the sum of

the interior angles by eight.

Sum of interior angles = (n-2)×180°

                                     = (8-2)×180°

                                    = 6 × 180°

                                    = 1080°

Measure of each interior angle of a regular octagon = 1080°/8= 135°

Therefore, the measure of each interior angle of a regular octagon is 135°.Answer: 135°.

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Answer: The answer is D 135º

Step-by-step explanation: it is show below

Answer:

Step-by-step explanation:

2x + 14 + 3x +3

17 + 5x

x=3.4

By answering the presented question, we may conclude that Therefore, trapezium the height of the trapezoid is 71.5 centimeters.

A trapezium is a two-dimensional geometric figure with four sides, one pair parallel to the other. It is also called as a trapezium in certain locations. The parallel sides are known as bases, whereas the non-parallel sides are known as legs. The distance between the two bases is the trapezoid's height or altitude. The area of a trapezium is given by A = 0.5 * (b1 + b2) * h, where b1 and b2 are the lengths of the two bases and h is the height.

To find the height of the trapezoid,

Area = (b1 + b2) × h / 2

h = 2 × Area / (b1 + b2)

h = 2 × 7722 / (131 + 85)

h = 2 × 7722 / 216

h = 71.5

Therefore, the height of the trapezoid is 71.5 centimeters.

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Answer: Amount Saved = $23 (answer). In other words, a 50% discount for a item with original price of $46 is equal to $23 (Amount Saved).

Step-by-step explanation:

The correctly multiplied pair of equations that shows the system of equations by eliminating y first.

d. 12x+6y=10 and -4x + (-6y) = -16.

There are either two or three equations with two or three variables when there is a system of linear equations. In this session, we'll be dealing for both x and y while using a two-equation system.

Given equation are:

12x + 6y = 10   ...eq 1

2x + 3y = 8   ...eq 2

To eliminate the y first, multiply eq 2 by -2.

-2(2x + 3y = 8)

-4x + (-6)y = -16   eq 3

On solving both eq1 and eq 3

8x = -6

x = -3/4

Thus, the correctly multiplied pair of equations that shows the system of equations by eliminating y first.

d. 12x+6y=10 and -4x + (-6y) = -16.

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Babby has a 3/4 probability of obtaining the same number of heads as Abby.

Simply put, probability measures how probable something is to occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

The probability of an event happening is determined by probability: P(A) = f / N.

Probability and odds are related, but probability determines what the odds are.

So, the formula for probability is:

P(E) = Favourable events/Total events

Now, insert values:

Babby can get:
TT, HH, HT, TH

Abby will only get: H or T

Then,

P(E) = Favourable events/Total events

P(E) = 3/4

Therefore, Babby has a 3/4 probability of obtaining the same number of heads as Abby.

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The experimental prοbability οf Bradley rοlling a strike in the first frame οf the next game is alsο 0.8 οr 80%.

The likelihοοd οr chance that an event will οccur is quantified by prοbability. It is a number between 0 and 1, where 0 indicates an imprοbable event and 1 indicates a certain event. A given event's prοbability is determined by dividing the number οf pοssible οutcοmes by the number οf ways the event cοuld οccur.

The experimental prοbability is the ratiο οf the number οf times an event οccurs tο the tοtal number οf trials.

In this case, Bradley rοlls a strike in 8 οut οf 10 frames, sο the experimental prοbability οf him rοlling a strike in a single frame is 8/10 οr 0.8.

Hence, each frame is independent οf the οthers, the experimental prοbability οf Bradley rοlling a strike in the first frame οf the next game is alsο 0.8 οr 80%.

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Answer: Hence, a regular decagon has each exterior angle 36∘ and each interior angle as 144∘.

The function f(x) = |-x| is an even function, the equation of the parabola that has vertex at (2, 7) and passes through the point (-1, 3) is y = (-4/9)(x - 2)^2 + 7.

An odd function is a function that satisfies the property f(-x) = -f(x) for all values of x in the function's domain. Geometrically, this means that an odd function is symmetric about the origin.

To determine if the function f(x) = |-x| is an odd or even function, we can use the definition of odd and even functions.

First, let's check if f(-x) = f(x) for all values of x in the domain of the function:

f(-x) = |-(-x)| = |x|

f(x) = |-x|

Since |x| is equal to |-x| for all values of x, we have f(-x) = f(x) for all x in the domain. This means that f(x) is an even function.

2. There are different methods to find the equation of a parabola given its vertex and another point on the curve. One possible way is to use the standard form of the equation of a parabola:

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

where (h, k) is the vertex and a is a constant that determines the shape and orientation of the parabola.

To find a, we can use the fact that the point (-1, 3) lies on the parabola:

3 = a(-1 - 2)^2 + 7

3 = 9a + 7

9a = -4

a = -4/9

Substituting this value of a and the vertex (h, k) = (2, 7) into the equation, we get:

y = (-4/9)(x - 2)^2 + 7

Therefore, the equation of the parabola that has its vertex at (2, 7) and passes through the point (-1, 3) is:

y = (-4/9)(x - 2)^2 + 7

3. To determine whether the function f(x) = 25 - x^3 is even, odd, or neither, we need to find f(-x) and -f(x):

f(-x) = 25 - (-x)^3 = 25 + x^3

-f(x) = -(25 - x^3) = -25 + x^3

Now, let's compare f(-x) and -f(x):

f(-x) = 25 + x^3 ≠ f(x) and f(-x) ≠ -f(x)

-f(x) = -25 + x^3 ≠ f(x) and -f(x) ≠ -f(x)

Since neither f(-x) = f(x) nor f(-x) = -f(x) hold for all x in the domain of f, the function f(x) = 25 - x^3 is neither even nor odd.

4. To determine whether the function f(x) = 72 - x^4 is even, odd, or neither, we need to find f(-x) and -f(x):

f(-x) = 72 - (-x)^4 = 72 - x^4

-f(x) = -(72 - x^4) = -72 + x^4

Now, let's compare f(-x) and -f(x):

f(-x) = 72 - x^4 = f(x)

-f(x) = -72 + x^4 ≠ f(x) and -f(x) ≠ -f(x)

Since f(-x) = f(x) for all x in the domain of f, the function f(x) = 72 - x^4 is even. This means that its graph is symmetric with respect to the y-axis.

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Answer:

To graph the image of T(10, -2) after a reflection over the x-axis, you simply need to flip the point vertically so that it lies on the opposite side of the x-axis.

The x-coordinate of the point will stay the same, and the y-coordinate will change sign.

Starting with the point T(10, -2), reflect it over the x-axis to obtain the image point T'(10, 2), which is 10 units to the right of the y-axis and 2 units above the x-axis.

So the graph of T(10, -2) after a reflection over the x-axis is the point T'(10, 2), as shown in the following diagram:

     |

     |

     |

     |

     |

------T'(10, 2)

     |

     |

------x-axis------

     |

     |

     |

     |

     |

     |

     |

Note that the x-axis is the line that runs horizontally through the middle of the diagram, while the y-axis is the line that runs vertically through the middle of the diagram. I hope this helps.

Answer: 4 o'clock am on Tuesday

Step-by-step explanation: 4pm on Sunday+36 hours which gets you to Monday 4 pm + 12 hours= 4 am on Tuesday.

(I hope this helps

The answers to both the subparts of the given cuboid:

(A) The expression: (SA)=120+32x

(B) The height x=4.875

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces.

Cuboid is short for "like a cube."

A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

So, we have the values:

x, 10 and 6

Total surface area formula:

(SA)=2lw+2lh+2hw

Now, insert values to form the expression:
(SA)=2lw+2lh+2hw

(SA)=2(10*6)+2(10*x)+2(x*6)

(SA)=120+20x+12x

(A) The expression: (SA)=120+32x

Now, the height would be:

376=120+32x

32x = 376-120

32x=156

x=156/32

(B) x=4.875

Therefore, the answers to both the subparts of the given cuboid:

(A) The expression: (SA)=120+32x

(B) The height x=4.875

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Answer:

Step-by-step explanation:

I hope this helps

Answer:

After making biscuits, Gene would have 144.15 ounces of flour left

Step-by-step explanation:

You didn't show us any choices for answers, but this should help you:

Answer:

96 ÷ 32 = 3 packs of crayons.

Step-by-step explanation:

the fraction with the lowest value is 1/12.

Company revenue quadratic function.

Angel

The revenue, in billions of dollars, for a company in the year 2002 was $2.7 billion. One year later, in 2003, the revenue had risen to $3.4 billion. In 2005, the revenue climbed to $3.9 billion, before falling to $2.7 billion in 2008. The revenue, r, in billions of dollars, for the company, is a quadratic function of the number of years since 2002, x. what is the vertex of the function?

To find the quadratic function that represents the revenue of the company as a function of the number of years since 2002, we can use the vertex form of a quadratic function:

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

where a is the coefficient of the quadratic term, h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

We can use the given revenue values to set up a system of three equations:

2.7 = a(0 - h)^2 + k

3.4 = a(1 - h)^2 + k

2.7 = a(6 - h)^2 + k

Subtracting the first equation from the second, and the first equation from the third, we get:

0.7 = a(1 - h)^2

0 = a(6 - h)^2

Since a cannot be zero (otherwise we wouldn't have a quadratic function), we can divide the second equation by the first to get:

6 - h = 10

which gives us h = -4.

Substituting h = -4 into the first equation, we get:

2.7 = a(0 - (-4))^2 + k

2.7 = 16a + k

Substituting the revenue value for 2005, we get:

3.9 = a(3 - (-4))^2 + k

3.9 = 49a + k

Solving for a and k, we get:

a = -0.1

k = 4.3

Therefore, the quadratic function that represents the revenue of the company as a function of the number of years since 2002 is:

r(x) = -0.1(x + 4)^2 + 4.3

The vertex of this function is at (-4, 4.3).

Angel

What is the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101?

We can notice that the sequence alternates between adding an odd number and subtracting an even number. The first term is 3, which is odd, so the sequence starts by adding an odd number. The second term is -4, which is even, so the sequence then subtracts an even number. This pattern continues, so the sum of the sequence can be written as:

3 - 4 + 5 - 6 + ... + 101

We can group the terms into pairs:

(3 - 4) + (5 - 6) + ... + (99 - 100) + 101

Each pair of terms adds up to -1, so we can simplify the expression to:

-1 -1 -1 ... -1 + 101

where there are 50 pairs of -1's. The sum of 50 -1's is -50, so the sum of the sequence is:

-50 + 101 = 51

Therefore, the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101 is 51.

Angel

What is 12 7/8 - 56/17?

To subtract mixed numbers like 12 7/8, we first need to convert it to an improper fraction. We can do this by multiplying the whole number by the denominator of the fraction, and adding the result to the numerator. This gives us:

12 7/8 = (12 × 8 + 7)/8 = 103/8

Now we can subtract 56/17 from 103/8. To do this, we need to find a common denominator for the two fractions. The least common multiple of 8 and 17 is 136, so we can rewrite the fractions with this denominator:

103/8 = (103/8) × (17/17) = 1751/136

56/17 = (56/17) × (8/8) = 448/136

Now we can subtract the two fractions:

1751/136 - 448/136 = (1751 - 448)/136 = 1303/136

We can simplify this fraction by finding a common factor to divide both the numerator and denominator. Since both 1303 and 136 are relatively prime, we cannot simplify it any further. Therefore, the final answer is:

12 7/8 - 56/17 = 1303/136

Angel

A circle in the xy-plane has a diameter with endpoints (2,4) and (2,14). An equation of this circle is (x-2)^2+(y-9)^2=r^2 ,where r is a positive constant. What is the value of r?

The center of the circle is the midpoint of the diameter, which is at (2, (4+14)/2) = (2, 9). We can substitute this center point into the equation of the circle to get:

(x - 2)^2 + (y - 9)^2 = r^2

(2 - 2)^2 + (9 - 9)^2 = r^2

0 + 0 = r^2

So we see that r = 0. Therefore, the equation of the circle is just:

(x - 2)^2 + (y - 9)^2 = 0

This describes a single point in the xy-plane, which is the center of the circle. Note that this point is already on the given diameter, so it makes sense that the radius is zero.

Angel

which number has which number has the lowest value? 1/6 1/3 - 1/9 1/3 - 1/6 1/4 - 1/6the lowest value?

To compare these fractions, we can first find a common denominator for all of them. The least common multiple of 2, 3, and 4 is 12, so we can rewrite the fractions with this denominator:

1/6 = 2/12

1/3 - 1/9 = (3/12) - (1/12) = 2/12

1/3 - 1/6 = (2/6) - (1/6) = 1/6

1/4 - 1/6 = (3/12) - (2/12) = 1/12

So the fractions can be ordered as follows, from least to greatest:

1/12 < 1/6 < 2/12 = 1/3 - 1/9 < 1/3 - 1/6

Therefore, the fraction with the lowest value is 1/12.

I need more info for your problem :

Maybe this could help you :Assume a sector having a radius

Assume a sector having a radius r and a central angle of a degrees.The sector's area will be [tex]A^{2}[/tex] = (a / 360 °)* [tex]\pi[/tex]*[tex]r^{2}[/tex]

The area of an equilateral triangle having a side lenght a is A =( [tex]\sqrt{3}[/tex]/4) * [tex]a^{2}[/tex]

The probability that at least one game will be rained out during the week is 0.3439

To calculate the probability of at least one rainout, we need to calculate the probability that all four games will be played and then subtract it from 1.

The probability that a game will not be rained out is 1 - 0.1 = 0.9.

Therefore, the probability that all four games will be played is

= 0.9 x 0.9 x 0.9 x 0.9

Multiply the numbers

= 0.6561

So the probability that at least one game will be rained out is

= 1 - 0.6561

Subtract the numbers

= 0.3439

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Answer:

99

Step-by-step explanation:

Take the whole shape apart, now, multiply every part on it using the formulas for each.
The area of the two triangle parts is 7.5+7.5=15

the side on the left would be found by doing 5*6=30

the middle side would be 6*6=36

and the right side would be 6*3=18

Add it all up to get 15+30+36+18=
15+66+18=

81+18=

99

The answer of the given question based on the graph could be used to determine the variance levels that would result in a package of vegetables is histogram.

A histogram is a bar graph-like representation of data that groups data into ranges, called bins, and displays the frequency of data within each bin. In this case, the x-axis of the histogram would represent the weight of the vegetable packages, and the y-axis would represent the frequency of packages that fall within each weight bin.

To determine variance levels that would result in package of vegetables being rejected because of its weight, histogram would need to be constructed based on tolerance level of company. The histogram would show distribution of package weights, and any packages that fall outside of the acceptable weight range would be considered rejected. By analyzing the histogram, the company could determine the variance levels that would result in package rejection and make necessary adjustments to their production process.

A histogram would be the most appropriate graph to use in this situation to determine the variance levels that would result in a package of vegetables being rejected because of its weight, x.

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the graph that could be used to determine the variance levels that would result in a package of vegetables being rejected because of its weight, x, is a normal distribution curve with a mean of 250 grams and a standard deviation of y.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

To determine the graph that could be used to determine the variance levels that would result in a package of vegetables being rejected because of its weight, x, we need to understand the tolerance level of the company.

The company has a tolerance level of less than or equal to y grams for a 250-gram package. This means that any package of vegetables that weighs less than 250-y grams or more than 250+y grams will be rejected.

To graph this, we can plot the weight of the package on the x-axis and the probability of the package being rejected on the y-axis. The graph will have a normal distribution curve with a mean of 250 grams and a standard deviation of y.

Therefore, the graph that could be used to determine the variance levels that would result in a package of vegetables being rejected because of its weight, x, is a normal distribution curve with a mean of 250 grams and a standard deviation of y.

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The sequence for the number of miles that Amanda will run in the first 10 weeks of her training is

2, 1, 5, 0, 8, 3, 11, 5, 14, 7

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To find the sequence for the number of miles that Amanda will run in the first 10 weeks of her training, we need to first identify the pattern of increasing and decreasing miles she will run each week.

According to the given information, Amanda will start by running 2 miles in the first week.

In the second week, she will run one fewer mile, so she will run 2 - 1 = 1 mile. In the third week, she will run three more miles than she did in the first week, so she will run 2+3=5 miles.

In the fourth week, she will run two fewer miles than she did in the second week, so she will run 1 - 2 = -1 mile.

However, it doesn't make sense for Amanda to run a negative number of miles, so we can assume that she will take a rest week during the fourth week and not run any miles.

Then, she will resume her pattern of increasing and decreasing miles in the following weeks.

Therefore, we can write the sequence for the number of miles that Amanda will run in the first 10 weeks of her training as follows:

2, 1, 5, 0, 8, 3, 11, 5, 14, 7

To obtain this sequence, we applied the given pattern of running one fewer mile in the second week, followed by three more miles in the third week, and then repeating this pattern. We also accounted for the rest week during the fourth week by inserting a 0 in the sequence.

Hence, the sequence for the number of miles that Amanda will run in the first 10 weeks of her training is

2, 1, 5, 0, 8, 3, 11, 5, 14, 7

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Answer:

the answer is A. true

Step-by-step explanation:

I had this question before

The answer is C: A power model would best represent the relationship because scatterplot C is fairly linear.

In this the rate of change of the dependent variable is proportional to the power of the independent variable. In other words, when the independent variable increases, the dependent variable increases at a rate that is proportional to the power of the independent variable. This type of model is often used to describe phenomena such as population growth, economic growth, and physical processes such as diffusion.

When looking at the graph of scatterplot C, it is clear that the relationship between time and volume follows a power model.

The data points in the graph are fairly linear, meaning that as the log of time increases, the log of volume increases at a rate that is proportional to the power of the log of time.

This indicates that a power model would best represent the relationship between time and volume, making C the correct answer.

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Answer:

the obvious

Step-by-step explanation:

Answer:

The maximal area of the rectangle with the perimeter of 20 feet is 5*5 = 25 square feet.

So, the area can not be 26 square feet.

Step-by-step explanation:

As angle Z is bigger than angle Y and angle C must be greater than angle S, we also cannot say that mzC >mZS. The accurate disparity is: mZS >mZC .

An angle is just a geometric shape made up of two rays or splines that meet at a point in the middle known as the vertex. The angle's sides or legs are the rays or dotted lines that make up the angle. T

he standard unit of measurement for angles is the degree, with 360 degrees being one entire circle. Acute angles are those that are less than 90 °, right angles are those that are exactly 90 degrees, obtuse angles are those that are higher than 90 degrees but much less than 180 degrees, & straight angles are those that are exactly 180 degrees.

given

The right response is "mZC > mZS".

The right side of the figure is longer than the left side if RT is bigger than BA. Angle X is greater than angle W, and angle Z is greater than angle Y as a result.

Angles C and S will have the same measure if the triangles are identical because they are matching angles (they are in the same place in each triangle). We are unsure, nevertheless, whether the triangles are comparable.

We cannot therefore assert that mzC = mZS.

As angle Z is bigger than angle Y and angle C must be greater than angle S, we also cannot say that mzC >mZS. The accurate disparity is: mZS >mZC .

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