If an article is sold for Rs 450 after allowing a discount of 10%, find the list price of the article.

Answer:

9 weeks

Step-by-step explanation:

If you subtract $222 dollars from $124 dollars, you would get 98. This means that Chet needs 98 more dollars to get to $222. If you multiply 12 times 8, that is 96, still not enough. This means he would have to multiply 12 times 9 which is $108. At 8 weeks he still doesn't have enough so he has to go to 9 weeks. Though he will have more than $222, he still has enough money to have $222 dollars there will just be some left over.

The probabilities and the possible values obtained from flipping the coin and the actual values obtained by Tiya, indicates.

Part A; The theoretical probability is 1/2

Part B; The experimental probability is 2/5

Part C; (1) The theoretical probability and the experimental probability are not the same

(2) The theoretical probability is obtained by the number of possible outcomes and the experimental probability is obtained by the number of actual outcomes

(3) Tiya would have to increase the number of times the coin is flipped

Theoretical probability is based on what should happen in theory, while experimental probability is based on what actually happens.

Part A: The theoretical probability of the coin landing heads up is the ratio of the number of ways the coin can land heads up to the total number of possible outcomes.

Since the coin has two sides, it can land either heads up or tails up. Therefore, the total number of possible outcome = 2.

The number of ways the coin can land heads up = 1

The theoretical probability that the coin lands heads up = 1/2 or 0.5

Part B; The experimental probability of the coin landing heads up is the ratio of the number of times the coin landed heads up to the total number of times the coin was flipped.

In this scenario, the coin was flipped 40 times and landed heads up 16 times. Therefore;

Part C; (1) The theoretical probability is not the same as the experimental probability

(2) The theoretical probability is based on the number of possible outcomes, whiler the experimental probability is based on the actual results of the experiment. Therefore;

The theoretical probability and the experimental probability are not always the same.

(3) Tiya would have to flip the coin more times to get close to the theoretical probability. The more times the coin is flipped, the closer the experimental probability will be the theoretical probability.

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Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

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complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

The scale factor here is 1.5 for both the triangles in the image.

The ratio of any two corresponding lengths in two similar figures is known as the scale factor. In other words, it is the factor that is used to multiply all corresponding lengths between two similar figures in order to convert one to the other.

By identifying two corresponding lengths in both pictures and dividing the length of one by the corresponding length of the other, you may get the scale factor between two identical figures. The scale factor is the outcome. By dividing the length of one corresponding side in one triangle by the length of the corresponding side in the other, for instance, you may determine the scale factor if you have two similar triangles.

The bases in the given figures are in a ration,

10.5/7

=1.5

and since both triangles are similar therefore side would also be in the same ration

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To complete the job in 12 days, they need 100 workers.

We know that 30 workes can complete 1 job in 40 days, then if each worker works at a rate R, then we can write:

30*R*40 days = 1 job

R = (1/1200) job/day

Then if they need to complete the job in 12 days, the number N of workers needed is:

N*(1/1200)*12 = 1

N = (1200/12) = 100

100 workers are needed.

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Answer is something I’m not sure of

Bello's share is greater than Okpala's and Olu's shares combined by a fraction of 1/6 of the total sum of money.

Here, we have,

Let's assign variables to represent the shares of Okpala, Olu, and Bello.

Let M be the total sum of money.

Okpala's share = (1/6)M

Olu's share = (1/4)M

Bello's share = M - Okpala's share - Olu's share

To find the fraction of the money by which Bello's share is greater than Okpala's and Olu's shares put together, we need to calculate the difference between Bello's share and the sum of Okpala's and Olu's shares, and then express it as a fraction of the total sum of money M.

Bello's share - (Okpala's share + Olu's share) = (M - Okpala's share - Olu's share) - (Okpala's share + Olu's share)

= M - Okpala's share - Olu's share - Okpala's share - Olu's share

= M - 2(Okpala's share) - 2(Olu's share)

= M - 2[(1/6)M] - 2[(1/4)M]

= M - (1/3)M - (1/2)M

= M - (2/6)M - (3/6)M

= M - (5/6)M

= (1/6)M

Now, let's express this difference as a fraction of the total sum of money M:

Fraction of Bello's share greater than Okpala's and Olu's shares

= [(1/6)M] / M

= (1/6)

Therefore, Bello's share is greater than Okpala's and Olu's shares combined by a fraction of 1/6 of the total sum of money.

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Answer:

14.387

Step-by-step explanation:

Answer:

-1/10

Step-by-step explanation:

1/2-6/10

5/10-6/10

= -1/10

Answer:

$9.50

Step-by-step explanation:

The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10

The third option is correct.

High price value: 115 shares * $105.19 per share = $12,084.85

Low price value: 115 shares * $103.25 per share = $11,858.75

High price value: 30 shares * $145.18 per share = $4,355.40

Low price value: 30 shares * $143.28 per share = $4,298.40

The overall value at high price:

$12,084.85 + $4,355.40

= $16,440.25

The overall value at low price:

$11,858.75 + $4,298.40

= $16,157.15

In conclusion, the difference in overall gain or loss:

$16,440.25 - $16,157.15 = $280.10

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Answer:

The interquartile range is 60 ⇒ D

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile

Let us explain how to find the interquartile range

Let us do these steps to find it

∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}

→ Arrange them

∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}

∵ They are 11 numbers

∴ The middle number is the 6th number (5 before it and 5 after it)

∵ The 6th number is 45

∴ The median is 45

→ Find the lower set (before the median)

∴ The lower set is {1, 5, 12, 14, 29}

→ Find the lower quartile Q1

∵ The lower quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 12

∴ Q1 = 12

→ Find the upper set (after the median)

∴ The upper set is {48, 61, 72, 84, 96}

→ Find the upper quartile Q3

∵ The upper quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 72

∴ Q3 = 72

→ Subtract them to find the interquartile range

∵ The interquartile range = Q3 - Q1

∴ The interquartile range = 72 - 12

∴ The interquartile range = 60

Answer:

443,160 before the mortgage is taken out once the mortgage is taking out it is 248,000.

Step-by-step explanation:

Brainly me please

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

Answer:

pppppppppppppppppppppppppppppppppppppppppp

The probability of an event is the measurement of the chance of that event's occurrence. The probabilities of considered events are:

Binomial distributions consist of n independent Bernoulli trials. Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X = B(n,p)

The probability that out of n trials, there'd be x successes is given by

P(X=x)  = \(^nC_xp^x(1-p)^{n-x}\)

Since 10 people can be either diseased or not and they be so independent of each other (assuming them to be selected randomly) , thus, we can take them being diseased or not as outputs of 10 independent Bernoulli trials.

Let we say

Success= Probability of a diseased person tagged as diseased by the clinic

Failure = Probability of a diseased person tagged as not diseased by the clinic.

Then,

P(Success) = p = 72% = 0.72 (of a single person)

P(Failure) = q = 1-p = 0.28

Let X be the number of people diagnosed diseased by the clinic out of 10 diseased people. Then we have: X ≈ B(n+10,P=0.73)

Calculating the needed probabilities, we get:

a) P(At leased 8 have disease) = P(X≥8) =P(X=8) + P(X=9) + P(X=10)

P(X≥8) = \(^{10}C_8(0.73)^8(0.28)^2+^{10}C_9(0.73)^9(0.27)^1+^{10}C_{10}(0.73)^{10}(0.27)^0\)

P(X≥8) ≈ 0.2548 + 0.1456 + 0.0374 ≈ 0.4378

b)  P(At most 4 have the disease) = P(X≤4) = P(X=0) + P(X=1)+P(X=2)+P(X=3)+P(X=4)

P (X ≤ 4) =

\(^{10}C_0(0.73)^0(0.27)^{10}+^{10}{C_1(0.73)^1(0.27)^9+^{10}{C_2(0.73)^2(0.27)^8+^{10}C_3(0.73)&^3(0.27)^7 \\\)

\(+^{10}C_4(0.73)^4(0.27)^6\)

P (X ≤ 4) = 0.000003 + 0.000076+0.00088+0.00604+0.02719

P (X ≤ 4) =  0.0342

Thus,

The probabilities of considered events are:

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Answer:

! 2 red cards !

Step-by-step explanation:

Sia draws blue cards for each of her 3 turns: 4 • 3= 12

Sia draws red cards and ends up back at 0: 6 • 2 = 12

12 - 12 = 0

Sia drew 2 red cards since 6 • 2 = 12.

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

Answer: C) (1, -1)

Step-by-step explanation:

\(\boldsymbol{\sf{\underline{\diamond System \ of \ equations \ by \ the \ reduction \ method:} }}\)

   \(\boldsymbol{\sf{We\:have\:the\:system\:of\:equations \ --\to \ \left \{ {{x+2y=1 \ } \atop {2x-3y=5 }} \right. }}\)

Multiply the first equation by 2, and the second equation by -1, then both equations must be added.

             \(\boldsymbol{\sf{\star \ 2(x+2y=-1) }}\\ \boldsymbol{\sf{\star -1(2x-3y=5) }}\)

We add these equations to eliminate x.

             \(\boldsymbol{\sf{\star \ 7y=-7 }}\)

Then we solve 7y=-7 for y (divide by 7).

               \(\boldsymbol{\sf{\star \ \dfrac{7y}{7}=\dfrac{-7}{7} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ y=-1}}}\)

We place the found value of y, in one of the original equations y to solve for x.

                  \(\boldsymbol{\sf{\star \ x+2y=-1}} \\ \\ \boldsymbol{\sf{\star \ x+2(-1)=-1}}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)

Simplify (We add x to both sides.)

                  \(\boldsymbol{\sf{\star \ 0+(x)=-x+1+(x) }}\\ \\ \boldsymbol{\sf{\star \ x=1}}\\ \\ \boldsymbol{\sf{\star -2=-1-x}}\)

Add (2) to both sides.

                   \(\boldsymbol{\sf{\star \ -2+(2)=-x-1+(2) }}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)

We divide by 1.

                      \(\boldsymbol{\sf{\star \ \dfrac{x}{1}=\dfrac{1}{1} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ x=1}}}\)

                                     \(\underline{\bf{ \ \ x,y \ answer\ \ \ \ }}\\\boxed{\boldsymbol{\sf{x=1,y=-1 }}}\)

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Answer:

n²-2

Step-by-step explanation:

Let's let n stand for a number. 2 less than a square of a number, that means, the result of n²-2 is two less than n². I hope this makes sense!

GIVEN:

We are given a recipe which requires four and half cups of milk to one cup of flour.

Required:

If two and one-quarter cups of milk is used, what quantity of flour will be needed accoeding to the recipe.

Step-by-step solution;

For the recipe provided we have the following ratio;

If two and one-quater cups of milk is used, and we do not know the amount of flour used, we can represent flour by f in this ratio and that would now be;

Since the ratios are the same for the recipe even with different quantities of milk and flour, then both ratios can be equated and we'll have the following equation;

Therefore, we can now set up the following equation;

Now we cross multiply and we have;

Therefore, for 2 and 1/4 cups of milk then 1/2 cup of flour will be used.

ANSWER:

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

A typical example would be when a statistician wishes to estimate the ... by the standard deviation ó) is known, then the standard error of the sample mean is given by the formula: ... The central limit theorem is a significant result which depends on sample size. ... So, the sample mean X/n has maximum variance 0.25/ n.

Step-by-step explanation:

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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     using podmas rule:

==============

\(\dashrightarrow \sf 3 * (7+2) \ \div \ \sqrt{4}\)

\(\dashrightarrow \sf 3 \ * \ 9\ \div \ \sqrt{4}\)

\(\dashrightarrow \sf 3 \ * \ 9\ \div \ 2\)

\(\dashrightarrow \sf 3 \ * \ 4.5\)

\(\dashrightarrow \sf \ 13.5\)

Answer:

13.5

Step-by-step explanation:

\(3*(7+2)/\sqrt{4}\)

You use PEDMAS - priority of calculation

1) Paranthesis

2) Exponents

3) Divide or Multiple (whichever comes first, reading left to right)

4) Add or Subtract (whichever comes first, reading left to right)

so,

Parenthesis first:

\(7+2=9\)

becomes

\(3*9/\sqrt{4}\)

No exponents, so we skip this step

Left to right for multiply or divide: first comes multiply.

\(3*9 = 27\)

becomes

\(27/\sqrt{4}\)

Now, last one is divide:

\(27/\sqrt{4} = 27/2 = 13.5\)

Answer:

He needs to pay $5

Step-by-step explanation:

$25 + $5 = $30 < how much he paid

$35 - $30 = $5 < how much more he needs to pay

Answer:

21

Step-by-step explanation:

21 yeet

brainlest plz is 21 if you dont brainlest you are gay

The equation of the linear function is y = -5x - 3

From the question, we have the following parameters that can be used in our computation:

The graph (See attachment)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

y = mx - 3

From the graph, we have

(x, y) = (-1, 2)

Substitute the known values in the above equation, so, we have the following representation

2 = -m - 3

Evaluate

m = -5

So, we have

y = -5x - 3

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Answe

G=1.5

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

2x+5y=50.25

3x+4y=53.50

use 2nd equation minus first equation to get

x-y=3.25

so x = 3.25+y

substitute x with above equation

2*(3.25+y) +5y =50.25

so 6.5+2y+5y = 50.25

7y = 43.75

y=6.25

x=3.25+y =9.5

Answer:

3a) 30% more than original price

b) 70% of the original price

c) 17times the original price

d) 70% less than original price

e) t + 0.85t

f) t - 0.15t

g) t - 0.85t

h) t + 0.15t

4. The expression that can be used to find the amount of money in his bank = m + 0.25m

Question:

3. Match each statement with an expression that could be used to find the price.

'The expressions for a to d were not stated in the question'.

a) p+ 0.3p

b) 0.7p

c) 17p

d) p-07p

'From e to h, we were not told what to determine'.

Write the expression in terms of time

e. 85% more than the original time

f. 15% less time than the original

g. 85% time decrease

h. 15% time increase

4. Ronnie increased the amount of money in his piggy bank by 25%. Which expression can be used to find the amount of money in his bank? Let "m" represent the original​.

Step-by-step explanation:

let original price = p

a) p+ 0.3p = p + 30% of p

30% more than original price

b) 0.7p = 70% of p

= 70% of the original price

c) 17p = 17 × p

= 17times of the original price

d) p-0.7p = p - 70% of p

= 70% less than original price

Let original time = t

e) 85% more than the original time = t + 85%of t

= t + 0.85t

f) 15% less time than the original time = t - 15% of t

= t - 0.15t

g) 85% time decrease = t - 85% of t

= t - 0.85t

h) 15% time increase = t + 15% of t

= t + 0.15t

4. Since "m" represent the original amount in Hus piggy bank

An increase of 25% = original amount + 25% of original amount

= m + 25% of m

'Of' means multiplication

= m + 0.25 ×m

= m + 0.25m

= 1.25m

The expression that can be used to find the amount of money in his bank = m + 0.25m