The expression 62.4d-21062.4d−21062, point, 4, d, minus, 210 gives the number of Indian rupees you receive when you exchange \$d$ddollar sign, d at the local currency exchange.
How many Indian rupees do you receive when you exchange \$13$13dollar sign, 13?

The length of the straw is equal to the length of the space diagonal of  rectangular box, that is 11.6 inches.

The length of the straw is equal to the space diagonal of the rectangular box. Space diagonals are three-dimensional diagonals.

If the length of the sides of the box is a, b, and c, then the space diagonal can be computed by applying the Pythagorean Theorem.

D = √(a² + b² + c²)

Substitute the following dimensions:

a = 10 inches

b = 3 inches

c = 5 inches

Then,

D = √(10² + 3² + 5²)

D = √(100 + 9 + 25)

D = √134 = 11.6 inches

Hence, the length of the straw is 11.6 inches.

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The amount of vanilla extract that will be needed to be able to make 2 dozen cookies is 2 teaspoons of vanilla extract

The recipe given will be able to yield 1 . 5 dozen of Oatmeal Raisin Cookies  which means that the 1 . 5 teaspoons of vanilla extract will be needed for 1. 5 dozens of Oatmeal Raisin Cookies.

If you are to make 2 dozen cookies therefore, it means that the recipe would require a higher amount of vanilla extract which can be found by the formula:

= ( Dozen cookies needed x teaspoons in  1 .5 dozen ) / 1 . 5 dozen

= ( 2 x 1 . 5 ) / 1 . 5

= 2 teaspoons of vanilla extract

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The percentage error if 3,750 is used as an approximation to 3,754 as calculated is found out to be as , 0.1066%.

We calculate the percentage of  error as ,

| Vobs – Vtrue |/ Vtrue× 100%

Therefore the percentage error in this case will be ,

= 3754 - 3750/3750

= 4/3750

=0.1066%

Therefore, the required POE is found out to be as , 0.1066%.

Percent error tells us about the  magnitude of our errors while measuring anything , this concept is used in approximation. Lower percentage errors suggest that we are getting close to the original number. A 1% inaccuracy, for example, implies that we were extremely close to the approved number, whereas a 48% error indicates that we were rather far from the genuine value.

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Domain: [-2, 2]

Range: [-4, 3]

The empirical probability that there are more than 5 left-handed students  in a class of 30 is 0.06.

Empirical probability is a sort of experimental probability that is based on historical data. Empirical probability is, then, an illustration of  the likelihood of an occurrence occurring based on prior data.

The formula of the empirical probability is:

Experimental probability  = number of times an event occurs / total number of outcomes.

In the problem, total number of classes = 50

From the graph, we can read that:

- number of classes with 6 left-handed students = 2

- number of classes with 7 left-handed students = 1

Hence, the empirical probability that there are more 5 left-handed students in a class of 30 is:

Empirical probability = 3/50 = 0.06

Your question is incomplete. Most likely it was:

Casey read a report that said the probability that a randomly selected America is left handed is 14%. she was curious how many left handed students to expect in a class of 30 seconds. she simulated 50 classes of 30 students where each student had a 0.14 probability of being left handed. Casey counted how many left handed students were in each simulated class. here are her results: use her results to estimate the probability that there are more than 5 left handed students in a class of 30 students. (The graph is attached)

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Answer:

1 mile is about 1.6 km

1 feet is 30cm.

Safe to say a mile is bigger.

Answer:

Miles are bigger than feet.

Step-by-step explanation:

In 1 mile, there are 5,280 feet. So miles would be 5,280 times bigger than feet.

For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

If this drawing is proportional, we can see that 12 was divided by 2 to get 6. We can do the same to 8.

8 ÷ 2 = 4

The width of the new drawing is 4.

The object hits the ground after 17.5 seconds.

f(x) = ax2 + bx + c, where a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they always have the same fundamental "U" form.

The height of an object modeled by the function:

h(t) = −16t^2 + 4900

The object hits the ground when h(t) = 0

The equation becomes:

0 = −16t^2 + 4900

-16t² = -4900

t² = 4900/16

t² = 306.25

t = √306.25

t = 17.5 secs

Thus, the object hits the ground after 17.5 seconds.

Complete question: An object is 4900 ft above the ground. The object falls, and its height is given by the quadratic function: h(t) = −16t 2 + 4900. The height of the object above the ground is in feet and the time, t, is in seconds. Determine when the object hits the ground.

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The graph of the proportional relation is the one in the second option.

"a graph of a line that passes through the points 0 comma 0 and 4 comma negative 1"

A general linear equation can be written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

Particularly, if the y-intercept is 0, then we have:

y = a*x

We have a proportional relationship.

Notice that when x = 0 we have:

y = a*0

y = 0

So the proportional relationships always pass through the point (0, 0).

Then the correct option is the second one:

"a graph of a line that passes through the points 0 comma 0 and 4 comma negative 1"

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I would recommend taking this bet, as the expected value of the bet is Positive.

The expected value of a bet is the sum of the product of each possible outcome and its corresponding probability. In this case, the probability of getting two heads is 0.25, and the payout for that outcome is $10. The probability of not getting two heads is 0.75, and the payout for that outcome is -$2. When you multiply each outcome by its corresponding probability and sum them together, the expected value of the bet is $1.0. Because the expected value of the bet is positive, it is  a good bet to take. It is more likely that you will gain money .

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On solving the provide outlier question, we can say that The difference between the upper and lower fourth makes up the fourth outlier (h) = 73.7 - 22.2 = 51.5

Outliers are data points that deviate from the distribution's typical pattern. a value that is "outside" of the record's typical range (either significantly lower or substantially greater). For instance, both 3 and 85 are "outliers" when the scores are 25, 29, 3, 32, 85, 33, 27, 28, etc. Move away. Look for values that are significantly larger or significantly smaller than all other values to identify outliers. Because it is significantly smaller range than all other values, Value 4 is an outlier. An observation that differs unusually from other values in a population sample taken at random is referred to as an outlier.

Here,

a) The data values should now be sorted from smallest to largest:

22.2 40.4 16.4 73.7 36.6 109.9

b) The sorted data set's median is its middle value. The median is the sixth data value in the sorted data set because there are 11 data values total:

m = 36.6

c) The median of the data values below the median, or at 25% of the data, is in the lower fourth.

The lower fourth is the third data value because there are 5 data values below the median.

d) The data value 6 + 3 = 9 represents the third quartile.

Q{3} 73.7

The difference between the upper and lower fourth makes up the fourth outlier (h):

73.7 - 22.2

51.5

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Answer:

[tex]\frac{3}{16}[/tex] f - [tex]\frac{3}{2}[/tex] g

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] ( [tex]\frac{1}{2}[/tex] f - 4g )

multiplying each of the terms inside the parenthesis by [tex]\frac{3}{8}[/tex]

[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{2}[/tex] f

= [tex]\frac{3(1)}{8(2)}[/tex] f

= [tex]\frac{3}{16}[/tex] f

and

[tex]\frac{3}{8}[/tex] × - 4g ( cancel 4 and 8 by 4 )

= [tex]\frac{3}{2}[/tex] × - g

= - [tex]\frac{3}{2}[/tex] g

combining the 2 products, gives

[tex]\frac{3}{16}[/tex] f - [tex]\frac{3}{2}[/tex] g

Answer:

[tex]\textsf{Orange partial product}=\dfrac{3}{16}\;f[/tex]

[tex]\textsf{Pink partial product}=-\dfrac{3}{2} \;g[/tex]

[tex]\textsf{Product}=\dfrac{3}{16}\;f-\dfrac{3}{2} \;g[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{3}{8}\left(\dfrac{1}{2}f-4g\right)[/tex]

Calculate the partial products then add these together to find the product of the given expression.

Orange partial product

[tex]\implies \dfrac{3}{8} \times \dfrac{1}{2}f[/tex]

[tex]\implies \dfrac{3 \times 1}{8\times 2}\;f[/tex]

[tex]\implies \dfrac{3}{16}\;f[/tex]

Pink partial product

[tex]\implies \dfrac{3}{8} \times (-4g)[/tex]

[tex]\implies \dfrac{3 \times -4}{8} \;g[/tex]

[tex]\implies \dfrac{-12}{8} \;g[/tex]

[tex]\implies -\dfrac{\diagup\!\!\!\!4 \times 3}{\diagup\!\!\!\!4 \times 2} \;g[/tex]

[tex]\implies -\dfrac{3}{2} \;g[/tex]

Product:

[tex]\implies \dfrac{3}{8}\left(\dfrac{1}{2}f-4g\right)=\dfrac{3}{16}\;f-\dfrac{3}{2} \;g[/tex]

The equations can be framed as:

For Novelists

3 x 5 = 15

and, For Artists:

3 x 3 = 9 artists

A key part to understanding ratios is that it isn't part over whole. Ratios say that there are 5 novelists Per 3 poets.

This can be rephrased to say that there are 5 novelists per 8 TOTAL people.

From here, we can use fractions:

5/8 = x/24

where x is the number of novelists

Now,

Multiplying the left side by 3/3 yields 15/24

Therefore,

there are 15 novelists at the workshop.

We can use the same method for the poets :

3/8 = y/24

= 9/24

Complete Question:

A writing workshop enrolls novelists and poets in a ratio of 5:3.  There are 24 people at the workshop.  How many novelists are there?  How many poets are there?  Write a system of equations to model each situation.  Solve by any method.

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The slope of the line in 1. is -3/4 and the slope of 2. is 9/10.

Understanding what slope is is among the most crucial things to know about lines. The line's slope, also referred to as rise over run, is how "steep" it is. By dividing the difference between the y-values at two points by the difference between the x-values, we can determine slope. Understanding how to interpret graphs and create equations is necessary in order to comprehend the significance of the definition of slope.

The slope of the line = m in y = mx + b

−3x−4y=6

4y = -3x -6

y = (-3x -6)/4

y = -3x/4 -6/4

y = -3/4(x) -3/2

2. Slope formula = y₂ - y₁ = m(x₂ -x₁)

points (6, -1) and (-4, -10)

Substitute

-10 -(-1)= m(-4 -6)

m = 9/10

Thus, the slope of the line in 1. is -3/4 and the slope of 2. is 9/10.

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​

The square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

Square is a two-dimensional shape with four equal sides and four right angles. It is one of the most common shapes in geometry. Squares have many practical uses, such as in forming grids, creating patterns, and making tiling. Squares are also used in art and architecture, as well as in construction, mathematics, and science.
To solve this problem, we will use the formula for the volume of a rectangular box, V = lwh. We can substitute the given values to solve for x. First, we will find the length and width of the box after the square corners are cut out:

Length = 20 - 2x

Width = 14 - 2x

Now, substituting these values into the volume formula, we get:

288 = (20 - 2x)(14 - 2x)h

Expanding and simplifying, we get:

288 = 280 - 56x + 4x^2

Subtracting 280 from both sides, we get:

8 = -56x + 4x^2

Solving for x, we get:

4x^2 - 56x + 8 = 0

Using the quadratic equation, we get x = 2.4 or x = 0.4

Since x must represent a length, we can discard the negative solution, x = 0.4. Therefore, the square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

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Answer:

50%

1 2 = 1 × 50 2 × 50 = 50 100 . . So the answer is 50%

please mark me as a brainalist

The ratio 1/2 is equal to 0.5.To calculate the ratio 1/2, we need to divide 1 by 2. When we divide 1 by 2, we get 0.5. Therefore, the ratio 1/2 is equal to 0.5.

To calculate the ratio 1/2, we need to divide 1 by 2. When we divide 1 by 2, we get 0.5. Therefore, the ratio 1/2 is equal to 0.5.

To calculate the ratio 1/2, we need to divide 1 by 2. This can be done by using a calculator or by hand. When we divide 1 by 2, we get 0.5. This means that the ratio 1/2 is equal to 0.5. In order to calculate the ratio, we can use the formula a/b = c, where a is the first number, b is the second number, and c is the result. In this case, a is 1, b is 2, and c is 0.5. Therefore, the ratio 1/2 is equal to 0.5.

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There are two solutions for equation [tex]3x^2-6x+2=0[/tex] are [tex]1+\frac{1}{\sqrt{3}} , 1-\frac{1}{\sqrt{3}}[/tex].

and solutions are irrational solutions.

Every nth degree equation has a total of 'n' real or hypothetical roots. The polynomial [tex]f (x)[/tex] is exactly divisible by ([tex]x -a[/tex] ), which means that ([tex]x -b[/tex] ) is the factor of the provided polynomial [tex]f(x)[/tex].

The theory of equations in algebra refers to the study of algebraic equations, which are equations defined by polynomials. Any expression with one or more terms is considered to be a polynomial. Knowing when an algebraic problem has an algebraic solution was a major challenge in the theory of equations.

Here solution of equation:

[tex]3x^2-6x+2=0\\3x^2-6x+2+1-1=0\\3x^2-6x+3=1\\3(x^2-2x+1)=1\\3(x-1)^2=1\\x=1+\frac{1}{\sqrt{3}} , 1-\frac{1}{\sqrt{3}}[/tex]

So here two solutions are presented for given equation.

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Answer: In any triangle, the sum of the three angles is always 180 degrees. This is known as the triangle angle sum theorem.

So in triangle efg, we can use this theorem to find angle g in terms of x:

angle e + angle f + angle g = 180

5x+6 + 4x-6 + 5x-2 = 180

14x = 180 + 8

14x = 188

angle g = 5x-2 = 5(188/14) - 2 = 5(13.4285714) - 2 = 67.1428571 degrees

So angle g = 67.1428571 degrees

It's important to note that the values of x are the unknowns.

Step-by-step explanation:

The required interval of the given normal distribution using the empirical rule is [100, 140].

The empirical rule formula (also known as a 68 95 99 rule formula) uses data from a normal distribution to determine the first, second, and third standard deviations, which, respectively, differ from the mean value by 68%, 95%, and 99%. Additionally, it shows that 99.9% of the data fall inside the third standard deviation range (either above or below the mean value). The empirical rule formula is described below with cases that have been resolved.

In the question, we are given that IQ scores for adults aged 20 to 34 years are normally distributed according to N(120, 20), and are asked for the range in which the middle 68% of people in this group score on the test.

N(120, 20) signifies a normal distribution with mean, μ = 120, and the standard deviation, σ = 20.

By the empirical formula, 68% of the data lies within one standard deviation from the mean.

Thus, the required interval is [μ - σ, μ + σ] = [120 - 20, 120 + 20] = [100, 140].

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The required dimensions of the given rectangle are a breadth of 21 meters and a length of 63 meters.

The homes we live in and the items we use on a daily basis all have three dimensions: height, length, and width.

The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics.

So, the dimensions of the rectangle are:

Let the dimensions of this rectangle be x for the width and 3x for the length.

2(Length + Breadth) =perimeter of rectangular park.

2( 3x + x ) = 168 metres.

6x + 2x = 168 metres.

8x = 168 metres.

x = (168/8) metres.

x = 21 metres.

Now,

Breadth: x = 21 metres

Length: 3x = 3× 21 = 63 metres

Therefore, the required dimensions of the given rectangle are a breadth: of 21 meters and a length of 63 meters.

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Correct question:

The length of a rectangular park is thrice its breadth and if the perimeter of the park is 168 meters, find its dimensions.

They tend to satisfice, meaning they settle on a satisfactory solution rather than searching for the optimal solution.

This type of decision making is known as bounded rationality. Bounded rationality acknowledges that people often make decisions based on incomplete and imperfect information but seek the best possible outcome. People use heuristics and mental shortcuts to make decisions and tend to satisfice, which means they settle on a satisfactory solution rather than searching for the optimal solution. This type of decision making is often used when the complexity of a problem is too great to be solved analytically.

Bounded rationality is a type of decision making which acknowledges that people often make decisions based on incomplete and imperfect information, and seek the best possible outcome using heuristics and mental shortcuts. They tend to satisfice, meaning they settle on a satisfactory solution rather than searching for the optimal solution.

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The mean of these scores is 16.

The mean is a measure of central tendency that indicates the average value of a set of data. It is calculated by adding up all of the individual values in a dataset and dividing that sum by the number of values in the dataset. In mathematical terms, the mean is represented by the symbol "µ" (mu) and is calculated as:

µ = (sum of all observations) / (number of observations)

To find the mean of these scores, you would add up all of the individual scores and divide by the total number of scores.

First, we find the total score of the 5 students who scored 10: 5 students * 10 points/student = 50 points

Then, we find the total score of the 10 students who scored 15: 10 students * 15 points/student = 150 points

Then, we find the total score of the 10 students who scored 20: 10 students * 20 points/student = 200 points

Now we add all the total scores of students: 50+150+200 = 400 points

Finally, to find the mean score, we divide the total score by the number of students: 400 points / 25 students = 16 points/student.

Therefore, the mean of these scores is 16.

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The amount of money Ryan will have in his account in 6 years is $3668.71.

Compound interest is calculated using the exponential formula y = P(1+r)ⁿ. P is for "Present" or Principal value; r stands for interest rate; n stands for time (in years), and y stands for future value after the amount compounds annually

Given:

Principal Amount = $2500

Rate of interest = 6.25%

Time = 6 years

The exponential equation can be given as:

y = P(1+r)ⁿ where n is the number of years.

y = 2500(1 + 0.0625)ⁿ

The money Ryan will have in his account in 6 years can be calculated as by putting n's value as 6 years.

y = 2500(1 + 0.0625)⁶

y = $3668.71

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The curves r1(t) = t, 2 − t, 35 + t2 and r2(s) = 7 − s, s − 5, s2 intersect at the point (2.5, -2.5).

An equation is a mathematical statement that asserts the equality of two expressions. It is usually written with an equals sign (=) and expresses the relationships between different variables and constants. Equations are often used to model or describe physical, biological, and chemical phenomena and relationships.

This can be seen by solving the system of equations formed by equating the two curves:

t = 7 − s
2 − t = s − 5
35 + t2 = s2

Solving the first two equations for t and s yields t = 7 − s and s = 2 − t. Plugging these equations into the third equation yields:

35 + (7 − s)2 = s2

By rearranging terms and solving, this equation can be solved for s, which yields s = 2.5. Plugging this value back into the first two equations yields t = 7 − 2.5 = 4.5 and s = 2 − 4.5 = -2.5. Thus, the two curves intersect at the point (2.5, -2.5).

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The length of the other two sides are 16 and 30.

What is right-angle triangle ?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

let one angle be x

the other angle be 46-x

as the sum of the angles is 46

x² + (46-x)² = 34²

2x² - 92x + 46² - 34² = 0

x² - 46x + 480 = 0

x² - 16x - 30x + 480 = 0

x(x-16) - 30 (x - 16) = 0

(x-30)(x-16) = 0

x = 30 or x = 16

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Answer:

Step-by-step explanation:

After nine minutes, the depth of the submarine will be -334.4 ft. below sea level. This is calculated by taking the starting depth of -350 ft. and adding the amount of ascent in nine minutes (9 minutes x 16.6 ft./min. = 149.4 ft.). So the result would be -350 + 149.4 = -334.4 ft.

round off 987 416 to the nearest 5 mean the 6 turns into 5 so the answer is 987 415.If the 6 was 2 the 2 will turn into 0 and if the 6 was 9 the 9 will turn into 10

1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself entirely.

A factor is a number that divides another number and leaves no remainder. In other words, if multiplying two whole numbers gives us a product, the numbers we are multiplying are factors of the product because they are divisible by the product. There are two processes for finding factors: multiplication and division.

For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 absolutely and 12 ÷ 6 = 2 absolutely. The other factors of 12 are - 1, 2, 4, and 12.

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It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

In mathematics, an algorithm is a process, a description of a series of steps that may be used to solve a problem; however, they are now far more prevalent than that.

Although many areas of research (and daily life) employ algorithms, long division's step-by-step process is probably the most prevalent example.

Thus, It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

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