Express sin T as a fraction in simplest terms.

Answer:

Step-by-step explanation:

4914/5=982.8 but if you need to round it it will be 983

Answer:

Step-by-step explanation:

A rational number is a number that can be expressed as a ratio of two integers, or as a fraction. A rational number is any number that can be written in the form a/b, where a and b are integers and b is not equal to zero.

In this case, the correct answer is d. 5.3333333.... This number can be written as a fraction in the form 5 3/9, which is a ratio of two integers and thus a rational number.

The other three choices are not rational numbers because they are repeating decimals, or irrational numbers. An irrational number is a number that cannot be written as a ratio of two integers. Irrational numbers are numbers that are not rational.

The yield to maturity on the bond, give the face value, and the price the bond was bought at, is 7. 11%.

You can find the Yield to Maturity using a Yield to Maturity calculator. You would have to input the Face Value as the value of $ 7, 000.

The bond price is the amount the bond was purchased for :

= Face value x buying percentage

= 7, 000 x 90%

= $ 6, 300

The coupon rate if the 6% interest bearing and the years to maturity is 15 years.

The Yield to Maturity is then 7. 11%.

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to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

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We may use the ratio of length to width and the new length of the image to determine the width of the enlarged image.

Step 1: The original image's length to width ratio is 5:2, which may be expressed as 5/2.

Step 2: We are aware that the enlarged image is 15 inches long.

Step 3: We may apply the formula length/width = new length/new width to determine the width of the enlarged image. The known values of the original ratio and the new length can be substituted in: 5/2 = 15 inches / new width.

Step 4: To find the new width, we must cross multiply and divide, so multiply the new width by 5/2 to get 15 inches, and divide both sides by this number to get 6 inches.

  Therefore, The expanded image has a 6 inch width.

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Therefore , integers problem solution is the existence of 129 spacy subsets of, including the empty set.

Integers can be anything from zero to a positive or negative number signified by a minus sign. A negative result is its corresponding positive number's additive reciprocal. In mathematics, the term Z is widely used to refer to the set of integers. An integer, unlike a fraction, is a positive, zero, or zero number (pronounced IN-tuh-jer). Examples of integers are the integers -5, 1, 5, 8, 97, and 3,043. Examples of non-integer numbers include 1.43, 1 3/4, 3.14, and more.

Given:

First, we choose no or more four integers from the range 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, and 12. Let's visualize these numbers using balls. Each ball is divided by at least two dividers.

So, for instance, (1,4,7,10) is represented by ol lol lol lol l.

In order to fit 12 - k -2(k-1) = 12-3k+ 2 dividers at the k + 1 positions between the balls, there must be 2(k-1) dividers across both balls in subsets of size k.

=> ( (12-3k+2)+(k+ 1) − 1 / k )

=> (12 –2k + 2)/k

As a result, the number of spacy subsets is reduced:

=> (⁶₄) + (⁸₃) + (¹⁰₂) + (¹²₁) + (¹⁴₀) = 129

The above assertion states the existence of 129 spacy subsets of, including the empty set.

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As a subset of the mathematical sciences, statistical data deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied.

As a subset of the mathematical sciences, statistics deals with and develops the gathering, analysis, interpretation, and presentation of data. It is a body of knowledge that is based on mathematics.

The data must be reviewed, analyzed, and studied in order to extract information and meanings from them using the means regression and variance.

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Answer: 408

Step-by-step explanation:

85% is equal to 0.85 in decimal form.

So, the answer is [tex](480)(0.85)=408[/tex] students.

Answer:

408

Step-by-step explanation:

In decimal notation, 85% is 0.85.

Answer:

1

Step-by-step explanation:

First, take a look at this.

We also know that we can cancel out a lot of fractions.

1. DISCRETE RANDOM VARIABLES

1.1. Definition of a Discrete Random Variable. A random variable X is said to be discrete if it can

assume only a finite or countable infinite number of distinct values. A discrete random variable

can be defined on both a countable or uncountable sample space.

1.2. Probability for a discrete random variable. The probability that X takes on the value x, P(X=x),

is defined as the sum of the probabilities of all sample points in Ω that are assigned the value x. We

may denote P(X=x) by p(x) or pX(x). The expression pX (x) is a function that assigns probabilities

to each possible value x; thus it is often called the probability function for the random variable X.

1.3. Probability distribution for a discrete random variable. The probability distribution for a

discrete random variable X can be represented by a formula, a table, or a graph, which provides

pX (x) = P(X=x) for all x. The probability distribution for a discrete random variable assigns nonzero

probabilities to only a countable number of distinct x values. Any value x not explicitly assigned a

positive probability is understood to be such that P(X=x) = 0.

So, 3 people can go to the amusement park with $69.75 for parking and admission.

Let pp be the number of people who can go to the amusement park.

An equation is a mathematical statement that asserts the equality of two expressions. The expressions are separated by an equal sign (=), and they can include numbers, variables, and mathematical operations.

The equation to determine the number of people is:

pp * 17.50 + 17.25 = 69.75

To solve for pp, we can subtract 17.25 from both sides of the equation:

pp * 17.50 = 52.50

And finally, we divide both sides by 17.50:

pp = 3

Therefore, 3 people can go to the amusement park with $69.75 for parking and admission.

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The required area and circumference of circle A are 1,134.57feet² and 119.43 feet.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, the area and circumference of circle A:

d = the circumference of circle B

r = radius of circle A

r = 2d - 3

Diameter of circle A = 2 x (2d - 3) = 4d - 6

By figuring out d, we may find the diameter of circle B.

4d - 6 + d = 49

5d = 55

d = 11

Diameter of circle A = 4(11) - 6 = 38

Radius of circle A = 38/2 = 19 feet

Area of a circle = πr²

22/7 x 19² = 1,134.57 feet²

Circumference of a circle = πD

22/7 X 38 = 119.43feet

Therefore, the required area and circumference of circle A are 1,134.57feet² and 119.43 feet.

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A new form of the triple integral [tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx[/tex] as a = 0, b = 1, g2(z) = 1, h2(y,z) = 1.

In other words, we want the integration order to be totally reversed for

[tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx[/tex]

Keep in mind that this area is quite simple to define. The planes z = y and y = x, as well as the coordinate planes x=y=z=0 , define our boundaries. We essentially have upper bounds z = y = x = 1 because x ∈[ 0, 1 ]. Therefore, we can alternatively express the region as:-

0 ≤ x ≤ y

0 ≤ y ≤ z

z∈ I0,1I. So

[tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx = \int\limits^1_0\int\limits^z_0\int\limits^y_0 {f(x,y,z)} \, dxdydz[/tex]

Remember that a double integral could be set up in two different ways. Our number of alternative orders of integration increases from two to six when we include that third integral. We will rewrite the supplied integral in one of the other five possible orders in this exercise.

hence,

[tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx = \int\limits^1_0\int\limits^z_0\int\limits^y_0 {f(x,y,z)} \, dxdydz[/tex]

Therefore, the new form of the triple integral [tex]\int\limits^1_0\int\limits^x_0\int\limits^y_0 {f(x,y,z)} \, dzdydx[/tex] as a = 0, b = 1, g2(z) = 1, h2(y,z) = 1.

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The inequality that satisfies the number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Different types of inequalities are represented by a variety of notations, including:

The symbol a <  b indicates that a is smaller than b.

When a > b is used, it indicates that an is bigger than b.

Given,

Hours Saul plans to volunteer in the 9-month period = 225 hours

Also,

Hours of volunteering he has already completed = 36 hours

=> Number of hours left = 225 - 36 =189 hours

Number of months= 9

=> Minimum number of hours he has to volunteer per month

=> [tex]\frac{Number of hours left}{Number of months}[/tex]

=>[tex]\frac{189}{9}\\ 21 hours[/tex]

=>Minimum number of hours saul has to volunteer per month ≥ 21 hours

Therefore, The number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

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On solving the provided question we can say that on permutation choose which two of the six positions contain the two digits = 685464000

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

Assuming we regard upper and lower case letters as different, there are  52^4 ways = 7311616 ways

sequences of four letters and 100 sequences of two digits

there are 15 ways choose which two of the six positions contain the two digits = 685464000

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Answer:

derivative on r^2 with respect to r

one time derivative is 2r

second time derivative is 2

third time derivative is 0

The length of HE is 4 units.

Given that GH is tangent to both circle A and circle E, we can use the property of tangents that states that a tangent line to a circle is perpendicular to the radius drawn to the point of tangency.

If we let r be the radius of circle A and circle E, and let HE be the length of the line segment from the center of the circles to the point of tangency, we can use the Pythagorean Theorem to determine the length of HE.

The Pythagorean theorem is a fundamental result in mathematics that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Since GH is tangent to both circles, it is perpendicular to the radius of both circles and we can create a right triangle with legs HE and r. We can use the Pythagorean theorem to find the length of HE

HE^2 + r^2 = GH^2

We can use the information given to find the value of GH, then we can solve for HE using the equation above.

We know that GH is tangent to both circles, which means that GH is equal to the diameter of both circles. So GH = 2r

Substituting this value into the equation above:

HE^2 + r^2 = (2r)^2

HE^2 = 2r^2 - r^2 = r^2

HE = √(r^2) = r

Given that HE = r and r = radius of circle A and Circle E, HE = radius of Circle A = radius of Circle E.

Therefore, the length of HE = radius of Circle A or Circle E = 4 units.

So, the length of HE is 4 units.

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Answer: 256 bacterial cells

Step-by-step explanation:

Using the half-life formula, the number of bacteria after [tex]t[/tex] minutes is [tex]4(2)^{\frac{t}{10}}[/tex].

Setting [tex]t=60[/tex] (since there are 60 minutes in an hour), we get there are [tex]4(2)^{\frac{60}{10}}=256[/tex] bacterial cells.

The widths of the three fields are the same and equal to x, since that is the variable used in the expressions for the areas of the fields.

To find the greatest possible width, you need to find the highest value of x that satisfies the given conditions. You can substitute x=3 and y=2 in the expressions for the areas of the fields and compare them.

Area of field 1 = 12x^3y = 12 * 3^3 * 2 = 12 * 27 * 2 = 648 square yards Area of field 2 = 6xy^4 = 6 * 3 * 2^4 = 6 * 3 * 16 = 288 square yards Area of field 3 = 21xy = 21 * 3 * 2 = 126 square yards

All three fields have the same width of x = 3 yards, and the width is the greatest possible width.

Answer:

slope=-5/2 and equation of line y=-5/2x+3

Step-by-step explanation:

we find the slope by using formula =y2-y1/x2-x1

The equation that represents the transformation of vertical reflection and shift down by 3 of a cubic function is (a) [tex]g(x) = -x^{3} -3[/tex] .

The Cubic function is represented as ; [tex]y=x^{3}[/tex] ;

we have to apply the given transformations :

(i) The first transformation states that , there is a vertical reflection of the cubic function ,

So , after vertical reflection that equation becomes ⇒ [tex]y=-x^{3}[/tex] ;

(ii) The second transformation is : the graph shifts down by 3 units ,

So ,after shifting down by 3 units the equation becomes ⇒ [tex]y = -x^{3} -3[/tex] ;

let the function y be denoted by g(x) .

Therefore , after applying the transformation the equation becomes [tex]g(x) = -x^{3} -3[/tex] .

The given question is incomplete , the complete question is

Which equation represents these transformations of a cubic function?

(i) vertical reflection

(ii) shift down 3

(a) g(x) = -x³ -3

(b) g(x) = (-x)³ +3

(c) g(x) = (x+3)³

(d) g(x) = -(x-1)³ + 3

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Answer:

3(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+33(3)(4(3)-5) +3

9(12-5)+3

9(7)+3

63+3

Step-by-step explanation:

According to the Pareto study, the brands Adidas, Hyperlite, Mongoose, Schwinn, and Aquaronotman account for around 80 percentage of the profit.

A percentage in mathematics is a figure or ratio that is stated as a

fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used.

Pareto analysis is based on the notion that 20% of the work is necessary to produce 80% of the benefits of a project. It is regarded as a strong instrument for decision-making and quality maintenance in larger commercial organizations. We might say that it is a technique for gathering the necessary data and information for establishing priorities.

As a result, we may claim that it is a technique employed in both welfare economics and corporate decision-making. The '80-20 rule' forms the basis of it. When used as a decision-making tool, Pareto analysis statistically identifies a small number of either acceptable or unpleasant input characteristics that have the most influence on an output.

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The complete question is " Carey's Extreme Sports Is An Ecommerce Store Specializing In Selling Extreme Sports Products.

Carey's extreme sports is an ecommerce store specializing in selling extreme sports products.

The products include equipment, apparel, and other items related to extreme sports. Founded in 2015 in Arizona, US, the company has grown from a high-end sports gear equipment company into a national extreme sports brand with operations in 50 States and close to 1000 employees working for the company. The world of Carey's Extreme has traditionally conjured up images of inclusivity, sophistication, and elegance, attracting both wealthy and not-so-wealthy crowds, including college students. "

Answer:

10.469g/cm^3

Step-by-step explanation:

The formula for density is density = mass/volume

The volume is 1.3x1.3x1.3 which is 2.197

The mass is 23g

23/2.197 is about 10.469

Answer:

120 is correct and the formula to be used is 10C₃ or 10C₇ both of which work out to 120

Step-by-step explanation:

That appears to be correct . Since only one of two possibilities exist for each toss, for 10 tosses we determine if 3 heads appear that would be the same as 7 tails appearing for the 10 tosses

Number of ways r heads can appear in n tosses is indeed nCr

For r= 3 heads and n = 10 tosses this would be

10C₃ = 120

This should be the same as 10C₇ which works out to 120 also

Answer:

121 must be added to -75 to get 46

121-75=46

Answer:The answer is 121 i take  plus 46 plus 75

Step-by-step explanation: if is a plus you must take away

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

In object-oriented programming, inheritance is the technique that allows one object or class to be based on another while keeping comparable implementation. Also described as deriving new classes from existing ones, such as a superclass or a baseclass, and then organizing them into a class hierarchy. Inheritance refers to the assets that a person leaves to their loved ones when they die. An inheritance may include cash, stock or bond investments, and other assets such as jewelry, vehicles, art, antiques, and real estate.

Here,

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

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The match of the following will be:

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

In object-oriented programming, inheritance is the technique that allows one object or class to be based on another while keeping comparable implementation. Also described as deriving new classes from existing ones, such as a superclass or a baseclass, and then organizing them into a class hierarchy. Inheritance refers to the assets that a person leaves to their loved ones when they die. An inheritance may include cash, stock or bond investments, and other assets such as jewelry, vehicles, art, antiques, and real estate.

Here,

II-3 --> aa

I-2 --> Aa

III-1 --> Cannot determine

II-6 --> Aa

II-2 --> Cannot determine

II-4 --> Cannot determine

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The percentage by which the orangutan population has changed is 92.23%

We know that the formula for the relative change.

R = |x2 - x1| ÷ x1

where x2 is the final value

and x1 is the initial value

R is the relative change

Here, the orangutan population has changed from 1900 when there were 85,000 orangutans to the present day when there are about 6,600 orangutans.

This means, x1 = 85000 and x2 = 6600

So, the relative change would be,

R = |6600 - 85000| ÷ 85000

R = 78400 / 85000

R = 0.9223

and the percentage change would be,

P = R × 100

P = 0.9223 × 100

P = 92.23%

Therefore, the percentage change = 92.23%

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Answer:

Not too sure about the name of specific theorem but:

1. ABC = DEF, BCA = EFD and CAB = FDE

Same angles

2. The ratio of 2 sides is the same

[tex]\frac{ab}{ac} = \frac{de}{df} \: \\ \frac{2}{3} = \frac{4}{6} [/tex]

3. The ratio of 2 sides is the same

[tex]\frac{ab}{ac} = \frac{de}{df} \: \\ \frac{2}{4} = \frac{10}{20} [/tex]