55/7 improper fractions
to mixed numbers

The required annual premium rate for the given term life policy is $50,850.

Term life insurance  covers you for a particular measure of time - basically, the strategy's term. The length of the term can change to suit your specific conditions. You can likewise look over two changed sorts of term disaster protection: diminishing term protection and level term protection.

Annual Premium Rate implies, if pertinent, the exceptional rate so determined on the Statements Page of this Strategy to be utilized in processing a premium to be transmitted yearly.

Jacob needs to purchase a $500,000 15-year term life strategy, and the yearly superior rate (per $1000 of presumptive worth) for his age bunch is $6. 78.

Number of 1000 of every 500000 will be 500000/1000 = 500

the yearly superior rate (per $1000 of assumed worth) for his age bunch is $6. 78.

Absolute premium is 500 x 6.78 = 3390

The premium each year is 3390

For quite some time, the all out premium is

15 x 3390 = 50850

Thus, over all premium jacob have paid $50850.

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The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

Performing the calculation:

(10.52)(0.6721) = 7.0671992

Rounding to the correct number of significant figures, we have:

(10.52)(0.6721) ≈ 7.07

Next, let's calculate (19.09 - 15.347):

(19.09 - 15.347) = 3.743

Rounding to the correct number of significant figures, we have:

(19.09 - 15.347) ≈ 3.74

Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

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The vector equation of the line passing through points P(1, -4) and Q(5, 0) can be expressed as x = [1, -4] + t[1, 4], where t is a scalar parameter.

To find the vector equation of the line passing through points P(1, -4) and Q(5, 0), we first need to find the direction vector of the line. The direction vector is obtained by subtracting the coordinates of one point from the coordinates of the other point.

Let's calculate the direction vector:

Direction vector = Q - P = [5, 0] - [1, -4] = [4, 4] = 4[1, 1].

Now, we can write the vector equation of the line as:

x = P + t * Direction vector,

where x is a position vector representing any point on the line, P is the position vector of point P, t is a scalar parameter, and Direction vector is the vector obtained earlier.

Substituting the values, we have:

x = [1, -4] + t * [4, 4].

This equation represents the line passing through P(1, -4) and Q(5, 0) in vector form. By varying the parameter t, we can obtain different points on the line.

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If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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The measure of ∠E = 87° and ∠F = 93°.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a parallelogram in which EFGH the measure of angle E is (2x+3) and the measure of angle F is (3x - 33).

We can write -

2(2x + 3) + 2(3x - 33) = 360°

4x + 6 + 6x - 66 = 360°

10x - 60 = 360

10x = 420

x = 42

∠E = 2 x 42 + 3 = 84 + 3 = 87°

∠F = 3 x 42 - 33 = 126 - 33 = 93°

Therefore, the measure of ∠E = 87° and ∠F = 93°.

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Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

x = 11/7 y = -1/7

Step-by-step explanation:

2x + y = 3

2x + y - 2y = 3 - 2y

y = 3 - 2x

x - 3(3 - 2x) = 2

x - 9 + 6x = 2

x - 9 + 6x + 9 = 2 + 9

x + 6x = 11

7x = 11

7x / 7 = 11/7

x = 11/7

2(11/7) + y = 3

22/7 + y = 3

22/7 + y - 22/7 = 3 - 22/7

y = -1/7

Answer:

(¹¹⁄₇, -⅐)

Step-by-step explanation:

Given system of equations:

\(\begin{cases}2x+y=3&\\x-3y=2\end{cases}\)

What is the elimination method?

The elimination method is when you rewrite the two equations so that when added together, one of the two variables (x or y) is eliminated.

Step 1: Multiply the first equation by \(3\).

\(\implies (3)2x+(3)y=(3)3\)

\(\implies 6x+3y=9\)

Step 2: Add the above equation to the second equation to eliminate 3y.

\(\begin{array}{r l}6x+3y & = 9\\+\ x-3y&=2\\\cline{1-2}7x&=11 \end{array}\)

Step 3: Solve for x (by dividing both sides by 7).

\(\implies \dfrac{7x}{7}=\dfrac{11}{7}\)

\(\implies \boxed{x=\dfrac{11}{7}}\)

Step 4: Substitute ¹¹⁄₇ as the value of \(x\) in any of the given equations and solve for \(y\).

\(\implies 2\left(\dfrac{11}{7}\right)+y=3\)

\(\implies \dfrac{22}{7}+y=3\)

Step 5: Convert \(3\) into a fraction and subtract ²²⁄₇ from both sides of the equation.

\(\implies \dfrac{22}{7}-\dfrac{22}{7}+y=\dfrac{21}{7}-\dfrac{22}{7}\)

\(\implies \boxed{y=-\dfrac{1}{7}}\)

The solution to the given system of equations is (¹¹⁄₇, -⅐).

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The girls' reluctance to sell the chocolate bars at $2.50 per bar may not be purely altruistic but instead driven by their understanding of market demand and the potential impact of pricing on sales volume.

The girls' perception that the selling price of $2.50 per chocolate bar is too high may not necessarily indicate altruism but rather a response to market demand. When faced with a downward sloping demand curve, higher prices can lead to lower sales volume.

The girls' concern may be rooted in their understanding that a higher price could potentially deter potential buyers from purchasing the chocolate bars, resulting in lower overall sales and potentially lower earnings for themselves.

By considering the demand curve, the girls are likely taking into account the price elasticity of demand. Elastic demand implies that a change in price will have a relatively larger impact on the quantity demanded. If the girls perceive the demand for chocolate bars to be elastic, they might believe that a lower price would attract more customers and lead to increased sales volume.

Their concerns could also be motivated by their desire to achieve a balance between maximizing their sales and ensuring a reasonable profit margin. They might be aware that setting the price too high could lead to reduced demand and lower overall revenue, thereby limiting their earnings.

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With the help of linear equtions it can be concluded that we downloaded 54 songs in which 28 songs were free and 26 songs were paid.

A linear equation is an algebraic equation in which each term has an exponent of one and when graphed produces a straight line. That's why it is considered a 'linear equation.'

Let a represent paid downloaded songs.

Total cost of songs downloaded = a x cost of each additional download.

a x $0.59 = $0.59a

The overall cost of downloaded songs is $15.34.

$15.34 =   $0.59a

Divide both sides of the equation by  $0.59.

a = 26 songs

We downloaded 26 paid songs.

Total songs downloaded = total free songs + total paid songs

Total songs downloaded = 26 + 28 = 54 songs

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Answer: The smaller number is 12

Step-by-step explanation:

Answer:

the smallest no.is 12 and largest no. is 15

it is the answer nd plz comment me

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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Answer:

111111 \(\times\) 1111110 is the simple expression.

Step-by-step explanation:

The expression to be solved:

\(\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\)

First of all, let us solve the first term:

\(\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111\)

Now, the right term:

\(\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111\)

So, the expression to be solved becomes:

\(1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110\)

Answer:

7/4

Step-by-step explanation:

its d because 4/7 =7/4

Answer:

C. 454 students

Step-by-step explanation:

Students who play video games = 259°

Students who don't play video games = 360° - 259°

= 101°

Students who don't play video games = 101°/360° * 1,619

= 0.2805555555555 × 1,619

= 454.219 students

Approximately 454 students

C. 454 students

Answer:

103

Step-by-step explanation:

Q6 =

3+(21-1)5 = 103

Answer:

A) in the relationship the rates of go cost course is given by d=2

So Since, the cost of

1. Lap= 2 $

2.Lap= 2 x 2 = 4 $

3.Lap= 4 + 2 = 6 $

4.Lap= 6 + 2 = 8 $

B) The (n) term of the sequence 2,4,6,8,... with, a,= 2,d= 2 is

a(n) = a,1 + (n - 1)d Write the formula

a(n) = 2 + (n - 1)2 Substitute values

a(n) = 2 + 2,n-2 Simplify

a(n) = 2n

Therefore, the (n) term of the sequence is a(n) = 2(n)

Step-by-step explanation:

I hope this helps at least for A and B

Answer:

3

Step-by-step explanation:

4 x 3 = 12

4 ÷ 12 = 3

its like multiplication just changing the way you solve it

Answer:

.33

Step-by-step explanation:

There are three valid names for the given triangle AXT, TAX, and XTA.

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same. In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides. Every triangle is bicentric and convex. The triangle's interior is the area of the plane it encloses; the outside is the rest of the plane. Triangle geometry, as the study of triangles is frequently referred to, is a rich field of geometry that is full of stunning outcomes and surprising connections. Let S stand for a side of a triangle and A for an angle. Then, let a group of Ss and As be concatenated so that adjacent letters stand for adjacent sides of a triangle and adjacent angles. According to the SSS theorem, a triangle can only exist if it has three sides, two angles, and a side, or two sides and an adjacent angle (SAS theorem). The three unknown quantities (there are a total of three sides and three angles) can be uniquely identified in each of these situations. Other side and angle combinations do not necessarily result in a triangle being formed: the AAA theorem states that three angles specify a triangle but only up to certain scale size and that one angle and two sides without it may describe one, two, or no triangles.

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The mean of a sample is computed by summing all the data values and dividing the sum by the number of items.

The mean of a sample is a measure of central tendency of a sample and represents the average value of the sample.The formula for computing the mean of a sample is as follows:μ = (x₁ + x₂ + x₃ + ... + xₙ) / nwhere μ is the mean, x₁, x₂, x₃, ..., xₙ are the data values and n is the number of items in the sample. The mean of a sample is an estimate of the mean of the population from which the sample was taken. If the sample is representative of the population, the mean of the sample will be similar to the mean of the population.

the mean of a sample is not always equal to the mean of the population, especially if the sample is not representative of the population. In addition, the mean of a sample is not always smaller than the mean of the population. Therefore, options A and B are incorrect.On the other hand, option C is incorrect as well because the formula given is for the computation of the sample variance, not the mean. The formula for the sample variance is as follows:s² = ∑(x - μ)² / (n - 1)where s² is the sample variance, x is a data value, μ is the sample mean and n is the number of items in the sample.Option D is correct because it gives the correct formula for computing the mean of a sample.

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The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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The graph of the triangle after the dilation is given by the image presented at the end of the answer.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The vertices of the original triangle after given as follows:

F(1,1), G(3,1) and H(3,2).

The scale factor is given as follows:

k = 3.

Hence the vertices of the dilated figure are given as follows:

F'(3,3), G'(9,3) and H'(9,6).

When a figure is reflected over the x-axis, the sign of the y-coordinate is changed, hence the vertices of the reflected figure are given as follows:

F''(3,-3), G''(9,-3) and H''(9,-6).

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The simplified expression of the expression \((x - y)^p(x^2 + y^2 + q - y)\)while done the simplification through binomial theorm.

\((x - y)^p(x^2 + y^2 + q - y)\)

Expanding the first term using the binomial theorem, we get:

\((x - y)^p = \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^k\)

where [ p choose k ] is the binomial coefficient, given by p! / (k! × (p-k)!).

Substituting this expansion into the original expression, we get:

\(\sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} (x^2 + y^2 + q + y)\)

Expanding the last term, we get:

\(\sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} (x^2 + y^2) + \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} (q+y)\)

The first term can be simplified by distributing the x² and y² terms:

\(\begin{aligned} &\sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} x^{2} + \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} y^{2} \\&= x^{2} \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} + y^{2} \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} \\&= x^{2}(x-y)^{p} + y^{2}(x-y)^{p} \\&= (x^{2}+y^{2})(x-y)^{p}\end{aligned}\)

The second term can be simplified by distributing the x and y terms:

\(\begin{aligned} &\sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} q + \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} y \\&= q \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} - y \sum_{k=0}^{p} {p \choose k} x^{p-k} (-y)^{k} \\&= q (x-y)^{p} - y (x-y)^{p} \\&= (q-y) (x-y)^{p}\end{aligned}\)

Putting these simplified terms together, we get:

\(\begin{aligned}(x-y)^p \cdot (x^2 + y^2 + q - y) &= (x-y)^p \cdot [(x^2 + y^2) + (q - y)] \\&= (x-y)^p \cdot (x^2 + y^2) + (x-y)^p \cdot (q - y) \\&= (x^2 + y^2) \cdot (x-y)^p + (q - y) \cdot (x-y)^p \\&= (x^2 + y^2 + q - y) \cdot (x-y)^p\end{aligned}\)

Therefore, the simplified expression is \((x-y)^p \cdot (x^2 + y^2 + q - y)\)

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Using linear functions, it is found that it will take 7 hours for Michael to deliver as many newspapers as Franklin.

A linear function is modeled by:

y = mx + b

In which:

The linear functions that give the amounts for Franklin and Michael after h hours are given by:

They will be equal when:

F(h) = M(h)

Hence:

26 + 9h = 5 + 12h

3h = 21

h = 7

It will take 7 hours for Michael to deliver as many newspapers as Franklin.

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Answer:

Apples: 2.1

Blueberries: 1.1

Lemons: ?.1

Oranges: 3.5

Peaches:2.6

Pears : 3.6/2.6

Step-by-step explanation:

The option that cannot have a Poisson distribution is The length of a movie. Thus, the correct answer is A.

The Poisson distribution is a discrete probability distribution that is used to describe the probability of a given number of events occurring in a fixed period of time or space if these events occur with a known constant rate and independently of the time since the last event.

In the case of the length of a movie, it is not a discrete event that can be counted, but rather a continuous measurement, so it cannot be described using the Poisson distribution.

Options b, c, and d are all discrete events that can be counted and therefore can be described using the Poisson distribution.

Thus, the correct answer is A. the length of a movie

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It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.

To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:

\(h = ut + (1/2)gt^2\)

Where:

h is the height (0 feet, as the ball is on the ground)

u is the initial velocity (192 feet per second)

g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)

t is the time we want to find

Plugging in the given values, we get:

\(0 = (192)t + (1/2)(-32)t^2\)

Simplifying the equation, we have:

\(-16t^2 + 192t = 0\)

Factoring out t, we get:

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

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The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:

h0 = 0

v0 = 192

g = 32.2

a = 16.1

b = 192

t1 = 0

t2 = -b / a

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

t2 >= 0:

   time_to_hit_ground = t2

   time_to_hit_ground = t1

The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.

The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

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Answer:

Step-by-step explanation:

21

Answer:

No, no, no, yes, yes.

Step-by-step explanation:

A integer is a whole number, 1, 2, 3, etc.