Are the ratios 1:2 and 8:16 equivalent?

The night the family can stay at the hotel are-

Equations in mathematics are not always balancing on both sides using a 'equal to' symbol. Sometimes it's a 'not equal to' relationship, as though something is more than or less than the other. In mathematics, an inequality is a relationship that results from a non-equal comparison of two numbers or any other mathematical expressions.

Inequalities are mathematical expressions that fall within the category of algebra.

Now according to the question-

Total cost spent on hotel stay = cost per night + taxes + parking charges + tips.

As, the paid tax is 10% of the original amount.

The original amount is $90

10% of 90 is = 0.1 × 90

10% tax = $9

Let 'x' be the days spent in hotel.

Then,

The cost spent on stay only is $90x.

The cost spend  on tax is $9x.

As, parking is done once only its id added once only.

The total amount spent on tips is $30

Adding all the amount;

90x + 9x + 12 + 30 ≤ 600

On solving,

99x ≤  558

x ≤ 5.6

As, number can not be in decimals, it could be either 5 day sir 6 days.

Then, total amount spend on days will be-

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The complete question is-

One particular hotel in the downtown area costs $90 a night. An additional 10% tax is added to the original cost of the hotel room. There is also a one-time $12 for parking charge, and a family can expect to spend $30 on tips during their stay. How many nights can a family spend at the hotel without exceeding their budget of $600.

a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

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Asymptotic distribution of x(n-x)/n(n-1) is 0.

Let's discuss it further below.

To find the asymptotic distribution of x(n-x)/n(n-1), we will follow these steps:

1. Rewrite the expression as a ratio of two variables: X = x/n and Y = (n-x)/n.
2. Rewrite the expression in terms of X and Y: Z = X * Y / ((X + Y) * (X + Y - 1)).
3. Find the limit of Z as n approaches infinity, which represents the asymptotic distribution.

Let's proceed with these steps:

1. Rewrite the expression as a ratio of two variables:
  X = x/n and Y = (n-x)/n

2. Rewrite the expression in terms of X and Y:
  Z = X * Y / ((X + Y) * (X + Y - 1))

3. Find the limit of Z as n approaches infinity:
  Since X = x/n and Y = (n-x)/n, as n approaches infinity, both X and Y will approach 0. Therefore, the limit of Z as n approaches infinity is 0.

In conclusion, the asymptotic distribution of x(n-x)/n(n-1) is 0.

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Answer:

c

Step-by-step explanation:

i remember getting this in my maths exam so i hope its correct

Answer:  D: Polygon A has been reflected horizontally and reflected vertically.

Step-by-step explanation:Took the quiz.

The area of the region shared by the two cardioids 7(1 cos and is -14π.

The area of the region shared by the two cardioids 7(1 cos and can be calculated using the integral of the two equations. The equation of the cardioid 7(1 cos is given by r=7(1-cosθ). The equation of the second cardioid is given by r=7(1+cosθ). The area of the combined region can be found by taking the integral of the two equations over the region they share.

To calculate the area, the integral will be taken over the range of θ from 0 to π. The integral of the first equation is given by 7π (1- cos(θ)). The integral of the second equation is given by 7π (1+ cos (θ)).

The area of the region shared by the two cardioids can be calculated by taking the difference of the two integrals.

Area = 7π (1- cos (θ)) - 7π (1+ cos (θ))

Area = -14π

Therefore, the area of the region shared by the two cardioids 7(1 cos and is -14π.

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Answer:

It has 4 significant figures, not 6

Step-by-step explanation:

4045 are the significant figures here

Answer:

4

Step-by-step explanation:

well cause it four numbers so i dont think its six

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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Answer:

500 boxes

Step-by-step explanation:

hey there,

< Since "p" stands for profits, change "p" to 0 (since the question says 0 profits).

Here is how your equation would look like:

\(0 = -n^2 + 300n + 100000\)

Pretend like "n" is "x" since that is the variable we are trying to find here.

Solve for "n". Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

"n" actually ends up equaling 500, -200.

Obviously, negative can't be the answer because you can't have a negative amount of boxes. So 500 boxes would be your answer. 200 CAN'T be your answer either because it is a negative!! >

Hope this helped! Feel free to ask anything else.

Answer:

it  is 7 1/2

Step-by-step explanation:

Answer:

c is your answer

thankyou

Answer:

C

Step-by-step explanation:

I believe that's its C because this ishska

Therefore, the percent error is approximately 19.0% (rounded to the nearest tenth of a percent).

The percent error is a measure of the accuracy of a measurement or calculation. It is calculated by taking the absolute value of the difference between the measured or calculated value and the actual or accepted value, dividing that difference by the actual or accepted value, and then multiplying by 100 to express the result as a percentage.

The formula for percent error is:

% error = |(measured or calculated value - actual or accepted value) / actual or accepted value| x 100

The formula for percent error is:

(percent error) = [(|measured value - actual value|) / actual value] x 100%

Substituting the given values:

(percent error) = [(|1.7 - 2.1|) / 2.1] x 100%

(percent error) = [0.4 / 2.1] x 100%

(percent error) = 0.190476 x 100%

(percent error) = 19.0%

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Answer:

The flud dram (or flud drahm in British speling) is defined as 1⁄8 of a flud ones is is british words cop to nuber of a flud, and is ecactly ewelual to 3696691 ml in the U.S. cutomary 3.551632 ml in the British can of fluding can keep it from fluding over are heads and keep it safe from fluding but 3696691 is the number that you haft to use  it  order to keep it up you haft to put it in the same order

Number of Fluid Drams 88888

Number of Fluid Ounces 1 2 3 4 5

Number of Fluid Drams 8 9 10 11 12 A fluid dram is a unit of capacity. One fluid ounce is equivalent to eight fluid drams. Which table represents the relationship between number of fluid ounces a...

0.00

0 votes

0

In the apothecary system, the symbol fl ℥ represents a/an A. pound. B. grain. C. fluid ounce. D. dram

The dimension of the rectangle is ;

length = 7 yds

width = 6 yds

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

area = l × w

where w is the width and l is the length

The length is 11 yards less than 3 times the width

Length.

l = 3w-11

Therefore ;

42 = (3w-11)× w

42 = 3w² -11w

3w² -11w -42 = 0

3w² -18w+7w -42 = 0

(3w² -18w)(+7w -42) = 0

3w( w- 6) +7(w-6) = 0

3w+7 = 0 or

w-6 = 0

Therefore w = 6 or -7/3

but since width is discrete we choose the positive value

Therefore w = 6

l = 3x -11

l = 3×6 -11

l = 18 -11

l = 7

Therefore the dimensions are

length = 7yds

width = 6 yds

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The value of p from the equation 17.5 - 6.3p = 25 is 1.19

Algebraic expression can be defined as a mathematical expression that are variables, terms, factors, constants and coefficients.

These expressions are also composed of mathematical or arithmetic operations, which includes;

From the information given, we have that;

17.5 - 6.3p = 25

Now, let's take the following steps

collect like terms

-6.3p = 25 - 17.5

subtract the like terms

-6.3p = 7.5

Divide both by the coefficient of p, we get;

p = 7.5/-6.3

p = 1.19

Hence, the value is 1.19

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Complete question:

Solve for P please

17.5 - 6.3p = 25

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

a) The value of k for the systematic sample is given as follows: k = 114.

b) The individuals are: 1, 2, 3, 4, 5.

In a systematic sample, every kth element of the sample out of a sample of n elements is taken.

In this problem, we have a total of 5705 employees, and want a systematic sample of 50 employees, hence the value of k is obtained as follows:

k = 5705/50 = 114.

(rounding the value down to the nearest integer, we just divide the number of people by the sample size to obtain the value of k).

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Answer:

The Answer Should be x-3y=-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

D.works many year for a nation

Answer:

I'm going to say that there is one girl in the class

Answer:

The answer is 6

Using the linear equation ,

the fraction of red knights that are magical is 7/27 .

The Knights in a certain kingdom come in two colors that is red and blue .

let k be the number of knights then the number

of red knights is 2k/7 and the number of blue knights is 5k/7.

Let b be the fraction of blue knights that are magical - then 2b is the fraction of red knights

that are magical.

Also, we have total magical knights are 1/6 of total knights .

so, we can write the above statements in equation form,

b×5k/7 + 2b × 2k/7 = k/6

=> 5b/7 + 4b/7 = 1/6

=> 9b/7 = 1/6 => 9b = 7/6

=> b = 7/54

we want to find the fraction of red knights that are magical i.e 2b = 2×7/54 = 7/27

Hence, the fraction of red knights that are magical is 7/27 .

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The long polynomial division of the given equation is \(\ 2x^2-5x+4-\frac{6}{5x+1}\).

What is long polynomial division?

Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.

We have,

            \(10x^{3} -23\pi x^{2} +15x - 2\)   £ \(5x+1\)

By taking long division

                        \(= \:\frac{10x^3-23x^2+15x-2}{5x+1} \\)

                        \(= \quad 2x^2-5x+4-\frac{6}{5x+1}\)

                        \(= \ 2x^2-5x+\frac{20x-2}{5x+1}\)

                        \(= \ 2x^2-5x+4+\frac{-6}{5x+1}\)

By simplifying we get,

                        \(= \ 2x^2-5x+4-\frac{6}{5x+1}\)

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For all n ≥1, 10^n −1 is divisible by 9: the induction hypothesis, 10^k − 1 is divisible by 9. Therefore, 9 divides the second term. Also, 9 divides 9*10^k, since 9 is a factor of 9 and 10^k is a power of 10. Hence, 9 divides the entire expression 10^(k+1) − 1.

We will use mathematical induction to prove the statement. Base Case: For n = 1, we have 10^1 − 1 = 9, which is divisible by 9. Induction Hypothesis: Assume that for some positive integer k, 10^k − 1 is divisible by 9.

Induction Step: We need to show that if the statement is true for k, then it is also true for k+1. We have: 10^(k+1) − 1 = 10^k − 1 = 9^k + (10^k − 1)

By the induction hypothesis, 10^k − 1 is divisible by 9. Therefore, 9 divides the second term. Also, 9 divides 9*10^k, since 9 is a factor of 9 and 10^k is a power of 10. Hence, 9 divides the entire expression 10^(k+1) − 1.

As a result, we have demonstrated through mathematical induction that 10n-1 is divisible by 9 for all n.

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Given the graph, we are asked to find the equation of the parabola. This can be seen below.

Explanation

The equation of a parabola given in vertex form is

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. In this case, the vertex is at the point (1,-2)

Therefore, we will substitute the vertex parameters into the equation of the parabola.

To get the constant "a" we will pick a point from the graph and substitute it into the formula.

If we pick a point, let say (-3,2) we will have

Therefore, the equation will become;

Answer:

let p (t) = 600(0.974)^t be the population of a good place in the year 1900. a) rewrite this equation in the form p(t) = ae^(kt)

The final form of the given exponential function p(t) = 600(0.974)^t is p(t) = 600e^(-0.0264t).

The exponential function is a mathematical function where an independent variable is raised to a constant, and it is always found in the form y = ab^x. Here, we need to rewrite the given equation p(t) = 600(0.974)^t in the form p(t) = ae^(kt)Round k to at least 4 decimal places.

We know that exponential function is in the form p(t) = ae^(kt)

Here, the given equation p(t) = 600(0.974)^t ... equation (1)

The given equation can be written as:

p(t) = ae^(kt) ... equation (2)

Where,p(t) is the population of a good place in the year 1900

ae^(kt) is the form of the exponential function

600(0.974)^t can be written as 600(e^(ln 0.974))^t

p(t) = 600(e^(ln 0.974))^t

p(t) = 600(e^(ln0.974t) ... equation (3)

Comparing equations (2) and (3), we get: a = 600

k = ln 0.974

Rounding k to at least 4 decimal places, we get k = -0.0264

Therefore, the final form of the given exponential function p(t) = 600(0.974)^t is p(t) = 600e^(-0.0264t)

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Answer:

(−55+94i) + (13−12i) = (−42+82i)

Step-by-step explanation:

The sum of the two complex numbers, (a+bi) and (c+di), is ((a+c) + (b+d)i)

( -  55 +  94i) + ( 13 -  12i) =

 ( -  42 +  82i)  

Answer:

1/2

Step-by-step explanation:

Point Form:

(

3

4

,

−

2

,

1

2

)

Equation Form:

x

=

3

4

,

y

=

−

2

,

z

=

1

2