how many liters of a 15% alcohol solution must be mixed with 30 liters of a 40% alcohol solution to obtain a 30% solution

Answer: well you need to divid

Step-by-step explanation: well by dividing you get a answer so like you compare if the answer you got is for all of them and if it is not you say it is not proportional

Lower bound: a number that is less than or equal to all of the elements in a data collection. Upper bound: a number larger than or equal to every element in a data collection.

A)1600×40%=640

Because of the onion in the

(0- 640)Kg

The upper bound for the mass of

Onion sold is 640 kg

B)The lower bound is the minimum quantity  for sale

The lower limit is the least amount that, when rounded up, equals the estimated value. The upper bound is the minimum possible value that would be rounded up to the next estimated value. A mass of 70 kg, for example, rounded to the closest 10 kg, has a lower bound of 65 kg since 65 kg is the lowest mass that rounds to 70 kg.

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Hope it helps.

If you have any query, feel free to ask.

The scale of the scale factor for the model to actual is 1 ich = 50 feet.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The actual length of a model has a scale of Scale 1" = 50'.

So, 1 inch of the model length is equal to 50 feet of actual length.

Therefore, The length of scale for the model to actual is 1 ich = 50 feet.

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With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.

A quantity or item that depends on random events is formalized mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable.

It is a mapping or function from potential outcomes, such as the potential heads or tails of a coin flip.

This graph demonstrates how random variables are a function of real values and all conceivable outcomes.

It also demonstrates how probability mass functions are defined using random variables.

Informally, randomness usually denotes some basic element of chance, like as the roll of a die, and it may also denote uncertainty, such as measurement mistake.

Hence, With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.

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Answer:

(- 3, 2 )

Step-by-step explanation:

to find the start, do the reverse, that is move 1 unit to the right.

this means adding 1 to the x- coordinate

start = (- 4, 2 ) → (- 4 + 1, 2 ) → (- 3, 2 )

The mean is 4.8, and the standard deviation is 4.2 if 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

Let's suppose the x is the number of households to get the first that uses a clothesline

And p is the probability of a household using the clothesline

X ~ Geo (p = 0.21)

Mean = 1/p

Mean = 4.76 ≈ 4.8

Variance = q/p²

q = 1 - p

Variance = 17.9138

Standard deviation = √Variance

Standard deviation = 4.23 ≈ 4.2

Thus, the mean is 4.8, and the standard deviation is 4.2 if 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline.

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You need a sample size of at least 1612 recent liberal arts major graduates to have a margin of error of 400 with a 90% confidence level.

What is standard deviation ?

The standard deviation is a measure of the spread or dispersion of a set of data. It is a statistical measure that describes how much variation or deviation there is from the mean (average) of a set of values. The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences of each value from the mean.

n = (z*sigma / E)^2

where , n = sample size

z = the z-score corresponding to the desired level of confidence (90% confidence level corresponds to a z-score of 1.645)

sigma = the estimated standard deviation of starting salaries (9000)

E = the desired margin of error (400)

Plugging in the known values ,

n = (1.645 * 9000 / 400)^2

n ≈ (40.1125)^2

n ≈ 1611.6

So you need a sample size of at least 1612 recent liberal arts major graduates to have a margin of error of 400 with a 90% confidence level.

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Answer:

Greetings!!!

Converse:- MELTS IN YOUR HAND NOT IN YOUR MOUTH!

Inverse:- DOESN'T MELT IN YOUR HAND BUT MELTS IN YOUR HAND!

Contrapositive:- MELTS IN YOUR HAND NOT IN YOUR MOUTH!

Hope it helps!!!

Answer:

No.

Step-by-step explanation:

An integer, by definition, is a whole number.

The given number, -48.29, is a decimal number, implying that it is not whole. Therefore, -48.29 is not a integer.

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The jncenter is the center of the inscribed circle of a triangle.

The area enclosed by the figure is 6425 square meters.

The area enclosed by the figure is made up of a square of 50m x 50m = 2500 m^2 There are four semicircles attached to each side of the square.

Each semicircle has a radius of 25m, so the area of each semicircle is,

(1/2) * pi * 25^2

= (1/2) * 3.14 * 625 m^2.

The total area of the four semicircles is,

4 * (1/2) * 3.14 * 625 m^2

= 2 * 3.14 * 625 m^2

= 3925 m^2

To find the total area enclosed by the figure, add the area of the square to the area of the semicircles:

2500 m^2 + 2 * 3.14 * 625 m^2

= 2500 m^2 + 3950 m^2

= 6425 m^2.

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The probability game is solvable, and Player 1 has a strictly dominant strategy of Left (L), while Player 2 has four strictly dominated strategies. The surviving outcomes are (L, U), (L, M), (L, D), and (L, R).

This normal-form game is solvable, with Player 1 having a strictly dominant strategy of Left (L). Player 1's left strategy is strictly dominant because it will always yield a higher payoff than any other strategy for Player 1, regardless of what Player 2 does. Player 2, on the other hand, has four strictly dominated strategies: Up (U), Middle (M), Down (D), and Right (R). These strategies are strictly dominated because they will always yield a lower payoff than any other strategy for Player 2, regardless of what Player 1 does. The set of outcomes that survive the process of iterative elimination of strictly dominated strategies is (L, U), (L, M), (L, D), and (L, R). In other words, Player 1 will always choose left, and Player 2 will choose either Up, Middle, Down, or Right.

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Answer:

$127.47

Step-by-step explanation:

124.95 x .02 = 2.499 Which rounds to 2.50

124.95 + 2.50 = 127.47

You change a percent to a decimal by dividing by 100%

Therefore , on solving the provided question we can say that inequality will be  x < 2.2727272727 .

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two variables values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality.

Here,

Given :

the inequality will be

=> 3(2x – 5) < 5(2 – x)

=> 6x - 15 < 10-5x

=> 11x < 25

=> x < 2.2727272727

Thus ,

x < 2.27

Therefore , on solving the provided question we can say that inequality will be  x < 2.2727272727 .

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The complete question is " Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left. "

A function P that represents the profit made from selling x bracelets is

The number of bracelets this company must sell to break even is equal to 15 bracelets.

In Mathematics, profit can be defined as a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

Mathematically, the amount of profit made from selling x bracelets can be calculated by using the following function:

Profit made = Revenue earned – Cost of production

P(x) = R(x) - C(x)

P(x) = 20x - (180 + 8x)

P(x) = 20x - 180 - 8x

P(x) = 12x - 180

In order to break even, the number of bracelets that this company must sell would be calculated by equating the profit function to zero and solving for x as follows;

P(x) = 12x - 180

0 = 12x - 180

12x = 180

x = 180/12

x = 15 bracelets.

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The given equation system has the following solution: (10, 11).

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Given the system of equations below:

2x+3y=53

3x-y=19

From equation 2, y = 3x - 19 .......... 3

Substitute equation 3 into 1 to have;

2x+3y=53

2x + 3(3x - 19) = 53

2x + 9x - 57 = 53

11x = 110

x = 10

Substitute x = 10 into equation 3 to have:

y = 3x - 19

y = 3(10) - 19

y = 30 - 19

y = 11

Hence the solution to the given system of equation is (10, 11).

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The proportional relationship between the grapes and nectarine she ate is represented by y = 5.25x while the constant of proportionality is 5.25 and she ate 3780 grapes as she ate 720 nectarine

a) y = 5.25x

b) k = 5.25

c) 3780 grapes

A mathematical concept called proportions contrasts the relationship between two or more quantities. They can be used to compare the size of one part to the size of the total and can be expressed as ratios, fractions, or percentages. For instance, if a pizza is divided into 10 equal slices and you consume 5 of them, the percentage of the pizza that you have consumed is 5/10, or 50%. The distribution of a categorical variable, such as the percentage of voters who supported a certain candidate in an election, is described in statistics using proportions.

In this problem, we can find the proportional relationship by calculating the constant of proportionality.

a)

24 nectarines = 126 grapes

1 nectarine = x grapes

cross multiply both sides and solve for x

1 * 126 = 24 * x

126 = 24x

x = 126 / 24

x = 5.25

Assuming the number of grapes is represented by y and nectarine by x

y = 5.25x

The proportional relationship is given as;

y = 5.25x

b)

The cross product can be used to solve proportions by setting up an equation that equates the two products. For example, if the proportion is a:b = c:d, the equation would be ad = bc. By using the cross product, the equation can be simplified and the proportion can be solved for one of the variables.

c)

To determine how many grapes she has eaten if she ate 720 nectarines

y = 5.25x

y = 5.25(720)

y = 3780

She ate 3780 grapes.

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48600 rupees is needed to exchange 450 us dollars

Percentage Decrease is the percentage change in the value when it is decreased over a period of time.

How to determine this

When 1 us dollar is exchanged at 120 rupees

And devaluated by 10%

i.e 10% of 120 rupees

= 10/100 * 120

= 1200/100

= 12 rupees devaluated

So, 120 - 12 = 108 rupees can be exchanged

How much is 450 us dollars

Let x represent the number

If 1 us dollars = 108 rupees

450 us dollars = x

x = 450 * 108/1 rupees

x = 48600 rupees

Therefore, 48600 rupees can be exchanged for 450 us dollars

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Answer:

To find the solution to the system of equations, we need to find the values of x and y that make both equations true at the same time.

The pairs of points you provided are coordinates (x,y) which we can use to find the solution.

For the pair of points (1.8, 11.4) and (-2.8, -2.4)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(1.8) = 31.8 + 6 = 7.4

g(1.8) = 1.8^2 + 41.8 + 1 = 11.16

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

For the pair of points (0,6) and (0, 1)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(0) = 30 + 6 = 6

g(0) = 0^2 + 40 + 1 = 1

As we can see both equations are true at the same time, this is the solution of the system of equations.

For the pair of points (-3.7,0) and (-0.27,0)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(-3.7) = 3*(-3.7) + 6 = -7.1

g(-3.7) = (-3.7)^2 + 4*(-3.7) + 1 = 13.69

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

For the pair of points (2.8, 5.1) and (3.6, 1.2)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(2.8) = 32.8 + 6 = 11.4

g(2.8) = 2.8^2 + 42.8 + 1 = 21.96

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

So the solution of the system of equations is (0,6) and (0, 1)

The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

The equation of a circle with centre (a,b) and radius r is given by (x-a)^2 + (y-b)^2 = r^2.

C1 has centre (0,0) and radius 2, so its equation is (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4.

C2 touches the x and y axes each in one point, so it must have a centre on the line y=x and a radius equal to the distance from the centre to either of those points of tangency. Since the centre of C2 is on the line y=x and it is in the first quadrant, the coordinates of the centre are (1,1). The distance from the centre to the point of tangency on the x-axis is 1, so the radius is 1. The equation of C2 is (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

Therefore, The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

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The perimeter of the square is 4*12 inches = 48 inches

To solve for the perimeter of the square inscribed in the circle, we first need to determine the side length of the square. Since the square is inscribed in the circle, the diameter of the circle is equal to the side length of the square.

Given that the radius of the circle is 6*√2 inches, we can find the diameter of the circle by multiplying the radius by 2:

Diameter = 2 * (6√2) inches

Diameter = 12√2 inches

Now that we know the diameter of the circle is equal to the side length of the square, we can find the perimeter of the square by multiplying the side length by 4:

Perimeter = 4 * (12√2) inches

Perimeter = 48√2[tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex] inches

so the perimeter of the square is 48*√2 inches.

As we know that the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square, so the side length of the square is equal to the diameter of the circle divided by sqrt(2) .

Side length = 12*√2 inches /√2

Side length = 12 inches

so, the perimeter of the square is 4*12 inches = 48 inches

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Answer:

Likely

Step-by-step explanation:

Let's list out all the numbers 1 to 12 first:

1 2 3 4 5 6 7 8 9 10 11 12

Nice! Now let's only keep the numbers that are greater than 4, since the other numbers don't satisfy the condition of "greater than 4"

5 6 7 8 9 10 11 12

There are 8 options that Bryson could choose out of all the 12 options. We can express that as 8 over 12:

[tex]\frac{8}{12}[/tex]

Then, we simplify this by dividing both the numerator and denominator by 4, and we get:

[tex]\frac{2}{3}[/tex]

Therefore, it is a 2/3 chance that Bryson will choose a number greater than 4, and we would say that 2/3 chance is likely, but not certain.

Answer:

1.  59% chance of drawing an odd card.  "As likely as not."

2.  A 66.67% chance of drawing a number greater than 4.  Likely

Step-by-step explanation:

We will assume that all card draws are random, as promised.  

The likihood of drawing an odd number is determined by counting how many numbers in the cards labelled 1 - 12 are odd.  There are 6 odd and 6 even cards.  Bryson's change of picking an odd card, randomly, is 6/12 (6 times out of 12 tries).  That's a 50% chance.  I don't see the options for answers, but "As likely as not" would be correct.  The chance for even is also 6/12, or 50%

To determine the likihood of picking a number great than 4, count the values greater than 4 (5,6,7,8,9,10,11,12)  There are 8 values greater than 4.  Bryson has an 8/12 chance of picking a number greater than 4.  That would mean a 66.666% chjance, which I would consider "likely."

On solving the provided question, we can say that here, inequality value will be x = 1 and y = 1.

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here,

in this inequality equation

y > 4x - 2

y > -3x - 5

as,

4x-2 > 3x-3

1x > 1

x=1

x=1; y=1

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The expression is equivalent to the expression (x - 11) will be the difference between a number and 11 and 11 subtracted from a number. Then the correct options are B and D.

The equivalent is the expression that is in different forms but is equal to the same value.

The statement is given below.

“Eleven from a number”

Convert the statement into a mathematical form. Let the number be 'x'. Then we have

⇒ x - 11

The expression is equivalent to the expression (x - 11) will be the difference between a number and 11 and 11 subtracted from a number. Then the correct options are B and D.

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Considering margin of error only accounts for random sampling errors and not bias, the statement "The margin of error of a confidence interval is the error from biased sampling methods" is false.

A margin of error is a statistical term that takes into account the difference between the outcomes of a random survey sample and the projects outcome. To put it another way, you can determine the degree of unpredictability in data and study results by looking at the margin of error.

Margin of error calculations are based only on the error associated with random samples. It does not account for other possible sources of error such bias in the questions, prejudice owing to eliminating groups that could not be contacted, people refusing to respond or lying, and miscounts and miscalculations.

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Integral(upper=a, lower=0) Integral(upper=0, lower=a) r2sinθ dr dθ (1/3)a3sinθ

We can evaluate this iterated integral by converting it to polar coordinates.

The first integral has an upper bound of a and a lower bound of 0. This corresponds to the radial coordinate of r, which has a lower bound of 0 and an upper bound of a. The second integral has an upper bound of 0 and a lower bound of -√(a2-y2). This corresponds to the angular coordinate of θ, which has a lower bound of -π/2 and an upper bound of π/2.

Therefore, the integral in polar coordinates is:

Integral(upper=a, lower=0) Integral(upper=0, lower=a) r2sinθ dr dθ

We can then evaluate this integral by using the formula for the area of a sector:

Area = (1/2)r2θ

Substituting in the upper and lower bounds of the integrals, we get:

(1/2)(a2)(π/2) = (1/3)a3sinθ

Therefore, the answer is (1/3)a3sinθ.

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Answer:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. There is no finite way to express them. ( examples: √2, π, e)