Convert the angle -4 radians to degrees, rounding to the nearest 10th.

Answer:

yes it will be the same

Step-by-step explanation:

Let’s call the amount of stock traded “x”. Then we can set up an equation like this:

$19 = 0.02x

To solve for x, we can divide both sides by 0.02:

$950 = x

Therefore, if you trade $950 worth of stock, both Fierro Brothers and Sondo Investment House would charge you the same commission.

The values of x and y for the tangent segments to the circle A are: 4 and 8.899 respectively.

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

KJ = K L

6x - 3 = 5x + 1

6x - 5x = 1 + 3 {collect like terms}

x = 4

IJ = IH = 11

y² - 10 = 4y + 2

y² - 4y - 2 - 10 = 0

y² - 4y - 8 = 0 {quadratic equation}

using the quadratic formula

y = 8.899 or y = -0.898

Therefore, the values of x and y for the tangent segments to the circle A are: 4 and 8.899 respectively.

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Answer:

p=30 s=30 k=90 x=0

Step-by-step explanation:

000000000000

Answer:

Great, based on the provided dimensions for Object 1 (the cereal box), here are the formulas and calculations for:

Area of the entire rectangular prism:

A = lw + lh + wh

A = 128 + 121.75 + 8*1.75

A = 96 + 21 + 14 = 131 square inches

Base area:

The base of a rectangular prism is a rectangle. So the base area formula is:

Base area = Length * Width

= 12 inches * 8 inches = 96 square inches

So the formulas are:

Area (entire prism): A = lw + lh + wh

Base area: Base area = Length * Width

In this case:

Length = 12 inches

Width = 8 inches

Height = 1.75 inches

Step-by-step explanation:

This image show how to divide a given line segment into a number of equal parts by using a compass and  ruler.

Geometry is a branch of mathematics that deals with the study of the size, shape, and properties of objects in space. It is concerned with the study of points, lines, planes, angles, and curves, and how they relate to each other.

Geometry is divided into two main branches: plane geometry and solid geometry. Plane geometry deals with two-dimensional shapes, such as triangles, circles, and polygons, while solid geometry deals with three-dimensional shapes, such as spheres, cones, and cubes.

In geometry, the properties of objects are described using a variety of concepts and tools. These include:

Points: A point is a location in space that has no size or shape.

Lines: A line is a straight path that extends indefinitely in both directions.

Angles: An angle is the measure of the amount of turn between two lines or line segments.

Polygons: A polygon is a closed shape made up of straight lines.

Circles: A circle is a round shape with a constant radius.

Symmetry: Symmetry is a property of shapes that have a balanced arrangement of parts.

Congruence: Congruence is a property of shapes that have the same size and shape.

This image show how to divide a given line segment into a number of equal parts by using a compass and  ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.

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The complete question is:

An F test is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero. So the correct option is A.

The F test is based on the ratio of the mean square of the regression to the mean square of the error, and it is used to test the overall significance of the regression model. It tests whether there is a linear relationship between the independent variables and the dependent variable, and whether the model is statistically significant. In contrast, a t test is used to test the significance of individual regression coefficients, and the least squares method is a technique used to estimate the parameters of a linear regression model. Extrapolation is the process of estimating values of a dependent variable outside the range of the independent variables based on the regression model.

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The F test is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero. therefore, option a. an F text is correct.

This test is commonly used in regression analysis to determine whether there is a significant relationship between the

dependent variable and the independent variables.

The F test compares the variance explained by the regression model to the residual variance, and the null hypothesis

assumes that all regression coefficients are equal to zero, indicating no relationship between the dependent variable

and the independent variables.

If the calculated F-statistic is larger than the critical value, we reject the null hypothesis and conclude that there is a

significant relationship between the dependent variable and the independent variables.

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Sam completed more of his science fair project than Paul.

To determine who completed more of their science fair project, we can compare the completion percentages of Paul and Sam.

Paul completed 65% of his science fair project, which can be expressed as 0.65 or 65/100.

Sam completed 17/24 of his science fair project, which can also be expressed as a decimal by dividing 17 by 24, which is approximately equal to 0.7083 or 70.83%.

Comparing the two completion percentages, we can see that Sam completed a higher percentage (70.83%) of his science fair project compared to Paul (65%). Therefore, Sam completed more of his science fair project than Paul.

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If we rewrite 4.86 x 104 in decimal notation, we will have 48,600. The Option A.

In decimal notation, 4.86 x 104 is equivalent to 48600. To convert scientific notation to decimal notation, you simply move the decimal point to the right by the number of places indicated by the exponent.

In this case, since the exponent is 4, you move the decimal point four places to the right of the digit 4, resulting in 48600. Therefore, 4.86 x 104 in decimal notation is 48600.

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A normal curve is symmetrical, with the mean, median, and mode being equal and located at the center of the curve.

It is not skewed (left or right) nor uniform.

A normal curve is a) symmetrical.

A normal curve, also known as a Gaussian curve or a bell curve, is a symmetrical probability distribution curve that represents the distribution of a set of data.

In a normal curve, the mean, median, and mode are equal and located at the center of the curve.
Because the curve is symmetrical, it has the following characteristics:
It is unimodal, meaning it has a single peak.

The tails of the curve extend infinitely in both directions, but the probability of data points at the tails decreases as we move further away from the mean.
The area under the curve equals 1, representing the total probability of all possible outcomes.
In contrast, skewed distributions (left or right) have an asymmetrical shape where the tail extends more prominently in one direction.

A left-skewed distribution has a longer tail on the left side, while a right-skewed distribution has a longer tail on the right side.

Skewed distributions can lead to inaccurate conclusions when using measures of central tendency like the mean.
A uniform distribution is another type of probability distribution where all outcomes have equal probabilities.

In this case, the curve appears as a horizontal line (a rectangle), with no peak or skewness.

A normal curve is a) symmetrical.

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The answer is a) Symmetrical. A normal curve is symmetrical, meaning that it has the same shape on both sides of the central axis.

This is also referred to as a bell curve, as it forms a bell-shaped curve. The term uniform refers to a distribution where all values are equally likely, which does not apply to a normal curve.

A normal curve is a symmetrical bell-shaped curve that represents the probability distribution of a continuous random variable. It is often used as an approximation to the graph of scores or measurements consisting of many bunched values near the average in the middle and a few large and a few small values arranged toward the opposite ends. A normal curve has a mean, median, and mode that are equal and located at the center of the curve. The standard deviation determines how spread out the values are from the mean

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Marilyn has $75 to spend on two Series EE savings bonds as graduation gifts. The face values of the bonds she can buy are $50, $75, and $100. Therefore, she could buy two $50 bonds.

Since Marilyn has $75 to spend and she needs to buy two bonds, the total face value of the bonds she can purchase must be equal to $75.

Let x be the face value of the first bond, then the face value of the second bond must be 75 - x.

The face values of the bonds are $50, $75, and $100, so we can set up the following three equations

x + (75 - x) = 75 (since the total face value must be $75)

x = 50 (since the face value must be $50, $75, or $100)

x = 100 (since the face value must be $50, $75, or $100)

Solving these equations, we find that the possible face values for each bond are $50 and $25, $75 and $0, or $100 and $-25 (which is not a valid option).

Therefore, Marilyn could buy two bonds with face values of $50 each, or one bond with a face value of $75 and the other with a face value of $0 (which essentially means she would only be buying one bond).

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The requried equation of the circle with center (-3,0) passing through (-3,3/2) is 4(x + 3)² + 4y² = 9

We are given that the center of the circle is (-3,0) and it passes through (-3, 3/2). Since the x-coordinate of both points is the same, we know that the center lies on a vertical line passing through (-3, 3/2). Therefore, the distance between the center and the point (-3, 3/2) is the radius of the circle.

The radius is found using the distance formula:

r = √[(x₂ - x₁)² + (y₂ - ₁)²]

r = √[(-3 - (-3))² + (0 - 3/2)²] = √[9/4] = 3/2

So, the equation of the circle in standard form is:

(x - (-3))² + (y - 0)² = (3/2)²

(x + 3)² + y² = 9/4

4(x + 3)² + 4y² = 9

Therefore, the standard form of the equation for the circle is: 4(x + 3)² + 4y² = 9

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Under the direct method, Gaulle will report cash collected from customers of $35,000.cash collected from customers is determined by adding the changes in Accounts Receivable to the revenues recognized during the period.

Beginning Accounts Receivable was $6,000 and ending Accounts Receivable was $9,000, indicating that customers owed Gaulle an additional $3,000 during the year.

Revenue for the year was $38,000, which represents the total sales generated by the company during the period. To calculate the cash collected from customers, we need to subtract the change in Accounts Receivable from the revenue recognized during the period.

Therefore, the cash collected from customers for Gaulle is calculated as follows:

Cash collected from customers = Revenue - Decrease in Accounts Receivable

= $38,000 - ($9,000 - $6,000)

= $35,000

Therefore, the answer is B. $35,000.

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Answer:6

Step-by-step explanation:

Definition of quadratic equations related terms and algebra related terms are given in the explanation of the answer.

What exactly are quadratic equations?

Quadratic equations are equations that can be written in the form of ax² + bx + c = 0, where x is the variable and a, b, and c are constants. The term "quadratic" comes from the fact that the highest power of the variable x in the equation is x² (the term "quad" means "square").

Now,

Here are the definitions for each term you listed related to algebra:

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Answer:

In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.

Step-by-step explanation:

Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.

Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.

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Using the given data, we have r = 4 and c = 3. Therefore, the degrees of freedom would be (4-1)(3-1) = 6.

Explanation

The given data is in the form of a table, which represents the number of facilities in different locations with varying levels of security. To determine the appropriate degrees of freedom for this test, we need to know the type of statistical analysis that is being performed.

Since the question does not provide any context or information about the statistical analysis, we cannot determine the appropriate degrees of freedom. It is possible that the degrees of freedom may not even be relevant to the analysis being performed.

However, if we assume that a chi-square test is being conducted to determine whether there is a significant association between the location and the security level of facilities, then the appropriate degrees of freedom would be (r-1)(c-1), where r is the number of rows and c is the number of columns in the table.
In summary, the appropriate degrees of freedom for this test would be 6 if a chi-square test is being conducted to determine the association between the location and the security level of facilities.

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Angle m1 has a value of 113 degrees.

Angles that are vertical (opposite in a vertical direction) Vertical angles, also known as vertically opposite angles, are the opposing angles formed when two lines converge. Angles that are vertically opposite one another are always equal to one another.

Alternate interior angles are made when a transversal joins two coplanar lines. They can be found on the inner side of the parallel lines, but on their transverse sides. The transversal goes through the two coplanar lines at two separate points.

According to the statement, it is creating a pair of linear angles whose sum is 180.

m1 + 67° = 180°

m1 = 113°

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Just add the coordinates of another point to translate it.

Really simple, you have a vector like <f(x), g(x)>  (the vector is defined by functions just because it does not need to be a constant one) that starts at the origin, if you want to translate it to a point (a, b) (so our vector starts there now) just add any point like (a, b) so you get:

<f(x), g(x)> + (a, b) = <f(x) + a, g(x) + b>

Now your vector starts at the point (a, b), so you translated it. So that is the rule to translate vectors by using integer operations.

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The value of the given expression is 31/6.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

We can simplify the given expression using the order of operations (PEMDAS):

First, we evaluate the expression inside the parentheses:

9 - 3/4 = 35/4

Next, we simplify the multiplication by 2/3:

2/3 * 35/4 = 35/6

Now we substitute the above values in the expression and simplify:

-1/6 + 35/6 - 1/2 = (-1 + 35 - 3)/6

= 31/6

Therefore, the value of the given expression is 31/6.

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The solution of Circle and angle problem is the area of the Pac-Man, to the nearest tenth mm" is 131.8 mm²

A circle is a geometric shape that is defined as the set of all points in a plane that are equidistant from a fixed point called the center.

An angle is a measure of the amount of turn between two lines that share a common endpoint, called the vertex of the angle.

To find the area of the Pac-Man, we need to find the area of the sector that represents its mouth and subtract the area of the triangle formed by the two radii and the chord of the sector.

First, we need to find the length of the arc that represents the mouth of Pac-Man. The formula for the length of an arc is:

L = (θ/360) x 2πr

Where L is the length of the arc, θ is the central angle in degrees, r is the radius of the circle, and π is approximately 3.14.

Plugging in the values we have:

L = (60/360) x 2π(13)

L = 4.29 mm

Next, we can find the area of the sector that represents the mouth of Pac-Man. The formula for the area of a sector is:

A = (θ/360) x πr²

Where A is the area of the sector, θ is the central angle in degrees, and r is the radius of the circle.

Plugging in the values we have:

A = (60/360) x π(13)²

A = 141.37 mm^2

Finally, we need to find the area of the triangle formed by the two radii and the chord of the sector. We can use the formula for the area of a triangle:

A = (1/2) x base x height

The base of the triangle is the chord of the sector, which is equal to twice the radius multiplied by sin(θ/2):

base = 2r x sin(θ/2)

base = 2(13) x sin(30)

base = 13 mm

The height of the triangle is equal to half the length of the chord times cos(θ/2):

height = (1/2) x (L/2) x cos(θ/2)

height = (1/2) x (4.29/2) x cos(30)

height = 1.47 mm

Plugging in the values we have:

A = (1/2) x 13 x 1.47

A = 9.53 mm²

Therefore, the area of the Pac-Man (sector minus triangle) is approximately:

A = 141.37 - 9.53

A = 131.84 mm²

Rounded to the nearest tenth, the area of the Pac-Man is 131.8 mm²

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Given statement "The roof area of a gable roof is made up of two rectangles"

The given statement is True.
Because, A gable roof consists of two sloping roof surfaces that meet at the top, forming a triangle shape on both ends of the building.

Each of these sloping surfaces can be represented as a rectangle, and the combined area of these two rectangles represents the total roof area.

Area is a measure of the amount of space inside a two-dimensional (2D) or three-dimensional (3D) shape.

It is typically measured in square units, such as square meters, square feet, or square inches.

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There are 720 ways the Grandview high school band can manage the order of their performance of six pieces of music

To determine the number of ways the Grandview high school band can manage the order of their performance of six pieces of music, we need to find the number of permutations of six objects taken six at a time.

The following is the formula for the number of permutations of n objects taken r at a time:

P(n, r) = n! / (n - r)!

In this case, we need to find P(6, 6), which is:

P(6, 6) = 6! / (6 - 6)!

= 6! / 0!

= 6 x 5 x 4 x 3 x 2 x 1

= 720

Therefore, there are 720 ways the Grandview high school band can manage the order of their performance of six pieces of music.

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If the trapezium "ABCD" have "AD || BC", AD as 24 cm, BC as 10, then the measure of the angle CDA will be 32.27°.

A "Trapezium" is defined as a polygon with "four-sides", where one pair of opposite sides are parallel and the other pair of opposite sides are non-parallel.

Let point "M" be on AD, So, Height = 6 cm ⇒ BM = 6 cm,

We Apply Pythagoras-Theorem in Triangle AMB,

So, AM² = AB² - BM²

⇒ AM² = (7.5)²- (6)²,

⇒ AM  = 4.5,

Let "N" be a point on "AD", such that "CN ⊥ AD",

So, the base AD will be =  AM +  MN + ND,

MN = BC = 10 and CN = BM = 6 (height)

⇒ 24 = 4.5 + 10 + ND,

⇒ ND = 9.5

In triangle-CDN, Tan(∠CDN) = CN/ND,

From the figure , we see that, ∠CDN = ∠CDA,

So, Tan(∠CDA) = 6/9.5,

⇒ ∠CDA =  32.27°.

Therefore, the measure of the angle CDA is 32.27°.

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The given question is incomplete, the complete question is

ABCD is a trapezium. In which AD || BC, AD = 24 cm  BC = 10, AB = 7.5 and Height = 6 cm.

Find out the size of angle CDA.

Yes, Ms. Ouzts will have enough to purchase the purse as $125 is greater than the total cost of the purse including tax, which is $108.50.

The sales tax in South Carolina is 8.5%, which means that the total cost of the purse including tax will be

= Cost of purse + Sales tax

Substitute the values in the equation

= $100 + (8.5% of $100) = $100 + $8.50 = $108.50

If Ms. Ouzts has $125 to spend on the purse, then she will have enough to purchase it because $125 is greater than $108.50.

In fact, she will have $125 - $108.50 = $16.50 left over after buying the purse.

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Mrs. Brown should consider the box and whisker plot as well as the stem and leaf plot to represent the data and determine the 5-number summary.

Mrs. Brown should consider using a box plot (also called a box and whisker plot) and/or a modified box plot.

A box plot is a useful graphical representation because it shows the overall shape of the data and displays the 5-number summary, which includes the minimum value, first quartile (Q1), median (second quartile, Q2), third quartile (Q3), and the maximum value. A modified box plot also provides this information and additionally identifies any potential outliers in the data.

Therefore, Mrs. Brown should consider the box and whisker plot as well as the stem and leaf plot to represent the data and determine the 5-number summary.

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Correct question is "Mrs. Brown records the rainfall in Seattle, Washington during each month of 2021. (8.75, 4.68, 2.61, 1.03, 1.12, 1.91, 0.00, 0.11, 3.02, 5.76, 10.62, 4.38} Mrs. Brown wants to use a graphical representation that will allow her students to see the overall shape of the data and provide enough information to determine the 5-number summary then find which representations should Mrs. Brown consider? "

Answer:

Step-by-step explanation:

?

Answer:

$14.73

Step-by-step explanation:

To find out how much you made per hour, you need to divide your total earnings by the total number of hours worked. 15 weeks at 25 hours per week is a total of 375 hours. Dividing $5,525 by 375 gives you $14.73 per hour. Therefore, you made approximately $14.73 per hour. Remember to round your answer to the nearest cent, so the final answer will be $14.73.

Answer:

$5,525/(15 hrs/wk × 25 wks)

= $5,525/375 hrs = $14.73/hr

The given statement after evaluating and considering the other options is false. Due to the criteria it falls under elaborates the  case of statistically significant change is to be present while comparing the math scores  between the two groups, In short there will always be difference between two group s while we compare them on a particular topic .

From here on we can come to the conclusion that the difference was not due to chance occurrence.

A statistically significant change  refers to process which is  unlikely to be elaborated solely by chance and random factors.

In short, a statistically significant  has a very less chances  of taking place if there is no true effect in a research study.

The famous examples of statistical significance of finding are

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O life insurance is often provided by your employer at no cost
Many employers often provide life insurance coverage at no cost as part of their employee benefits package.

O life insurance.

The other options, 403(B), 401(K), and healthcare, usually require employee contributions or have shared costs between the employer and the employee.

Employers may provide different benefits packages, and the specific benefits offered can vary from one employer to another.

However, it is common for employers to provide healthcare coverage at no cost to employees.

Life insurance, 403(B), and 401(K) plans may also be offered by some employers, but they may not always be provided at no cost to the employee.

It's essential to check with your employer's human resources department to determine which benefits are offered and whether there are any associated costs.

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The probability that the cost will exceed $600 is approximately 0.057, or 5.7%. which is relatively small, so it is highly unlikely that the cost of conducting the test will exceed $600.

we need to use the information provided to calculate the probability that the test execution cost will exceed a certain value.

Let X be the cost of conducting a test to find three of her employees with positive signs of asbestos poisoning. From the information provided, we can see that:

E(X) = $550

Var(X) = $500

Using these values, we can standardize X to a standard normal distribution.

Z = (X - E(X)) / sqrt(Var(X))

= (X - $550) / square meters ($500)

Accepting that the costs take after an ordinary conveyance, able to utilize the standard ordinary conveyance to compute the likelihood that the fetched surpasses a certain esteem. For case, to find the likelihood that the taken toll surpasses $600, we are able to compute:

P(X > $600) = P(Z > ($600 - $550) / square meters ($500))

= P(Z > 1.58)

Using a standard normal table or calculator, we find that P(Z > 1.58) is approximately 0.057. hence, the probability that the cost will exceed $600 is approximately 0.057, or 5.7%.

This likelihood is generally little, so it is profoundly impossible that the fetch of conducting the test will surpass $600.

Be that as it may, the precise limit for what is considered exceedingly improbable may change depending on the setting and the particular criteria utilized. 

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