A foreigner bought an article at a discount of 15% and paid Rs.17289 If 13% value added tax (VAT) was levied on it, what was the marked price of the article? Find it.​

Answer:

D. None of the above

Step-by-step explanation:

\( \frac{c}{9} = \frac{d}{7.5} \\ \frac{d}{c} = \frac{7.5}{9} \)

P.S. hope it helped. If you have any questions, I'll be glad to answer them❤

The two triangles shown are similar. And the value of d/c = 1.2

A curve having three sides and three angles called as a triangle. Sum of all the angle of triangle is 180°. There are many types of triangle e.g. equilateral triangle, scalene triangle etc.

Given that there are two triangles shown in the diagram and in the diagram, lower triangle has base = 7.5 and perpendicular = 9.

These two triangles are similar drawn on the line. From the corresponding lines ;

d / 7.5 = c / 9

d / c = 9 / 7.5

d / c = 1.2

Therefore, the value of d/c = 1.2

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The measure of the value of x is 49.5 degrees, the correct option is B.

Given

The measure of arc QS is (4x – 18)°.

Arc QS is a semicircle and hence subtended angle by semicircle at the center is 180 degrees.

The measure of the arc QS is (4x – 18)° is equal to 180 degrees.

Then,

The value of x is;

\(\rm 4x-18=180\\\\4x=180+18\\\\4x=198\\\\x=\dfrac{198}{4}\\\\x=49.5\)

Hence, the measure of the value of x is 49.5 degrees.

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Answer:

For a bake sale, addison sells 14 cupcakes for 1.50 dollars each, charli sells 12 cupcakes for 2.00 dollars each. How much money did they make together?

14(1.50)+12(2.00)

21+24= 45

They make 45 dollars together

Step-by-step explanation:

The correct option is (A) and (C).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Each element of the "domain" set is assigned only one element of the "range" set. Thus,  there is only one output value y assigned to input x.

Equation x = 3 is not a function, as for getting input 3 there too many output correspond to input x=3

Like,

(3, 2), (3, 5) (3, 9) (3,10000)

Hence, This graph is not a function because the value x = 3 is assigned to more than one y-value and the equation for this line is x=3.

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Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (1, 9) , thus

y - 9 = 2(x - 1) → C

Answer:

y = –3 is the answer since the y-coordinate is –3 and y = lines are horizontal.

pls give brainliest

The equation of the horizontal line through (-7,-3) is \(y = x - 3\).and this can be determined by using the two-point form of a line.

Given :

The line is horizontal and passes through (-7,-3).

The following steps can be used in order to determine the equation of a line that passes through (-7,-3):

Step 1 - According to the given data, the line is horizontal which means it is parallel to the x-axis.

Step 2 - So, the horizontal line also passes through (0,-3).

Step 3 - So, the equation of a line that passes through the points (-7,-3) and (0,-3) is:

\(\dfrac{y+3}{x-0}=\dfrac{-3+3}{-7-0}\)

Step 4 - Simplify the above expression.

\(y = x - 3\)

So, the equation of the horizontal line through (-7,-3) is \(y = x - 3\).

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A:  10x + 8 = 3(x – 2)

    10x + 8 = 3x – 6

    7x =  – 14

    x = -2

If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.

To determine if the normality condition is satisfied, you can follow these steps:

1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.

2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.

3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.

4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.

5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.

For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.

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Answer:

C.

Step-by-step explanation:

Just use this

Rise = 1

-----------

Run = 2

That finds the slope for the + whatever you just have to look at the Y-value aka the straight up/down line

Answer:

i believe the bottom is a irregular quadrilateral and the first one is a parallelogram

Step-by-step explanation:

(a) The probability of obtaining two rods of the desired length is (100/200) * (99/199) = 0.495.

This can be found by using the formula for independent events:

P(A and B) = P(A) * P(B)

Since the two draws are of rods without replacement,

the probability of the first-rod being of the desired length = 100/200 (there are 100 desired-length rods out of a total of 200).

The probability of the second-rod being of the desired length = 99/199 (since one of the desired length rods has already been drawn). Multiplying these two probabilities gives us the answer.

(b)The probability of obtaining exactly one rod of the desired length

=(100/200) * (100/199) + (100/200) * (100/199)

= 0.990.

This can be found by using the formula for the union of two events: P(A or B) = P(A) + P(B).

Since the two draws are rods without replacement, the first draw has a probability of 100/200 of being of the desired length (there are 100 desired-length rods out of a total of 200).

The probability of the second draw being of the desired length is 100/199 (since one of the desired length rods has already been drawn). Adding these two probabilities gives us the answer.

(c) The probability of obtaining none of the desired length is (50/200) * (50/199) = 0.015.

This can be found by using the formula for independent events

: P(A and B) = P(A) * P(B).

Since the two draws are of rods without replacement, the probability of the first-rod being of the undersized length is 50/200 (there are 50 undersized rods out of a total of 200).

The probability of the second-rod being of the undersized length is 50/199 (since one of the undersized rods has already been drawn). Multiplying these two probabilities gives us the answer.

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Answer:

19.79+x >= 25

x>=5.21

Step-by-step explanation:

Answer:

\({ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}\)

Answer: = -1

Answer:

a 9 degrees

Step-by-step explanation:

so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9

Answer:

x=0.5 or 1/2

Step-by-step explanation:

Answer:

a^5

Step-by-step explanation:

a^4 x a^4 / a^3= a^4+4-3=a^5

Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.

a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\

b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.

c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.

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Answer:

60:50

Step-by-step explanation:

6 ⋅ 10 = 60, 5 ⋅ 10 = 50; 60:50

1) Yes, all multiples of 3 also multiples of 6.

2) Yes, If 9 is a factor of a number, 3 is a factor of the same number.

3)  Yes, If 8 is a factor of a number, then 4 is a factor of the same number.

4) No, If 4 is a factor of a number, then 8 is not a factor of the same number.

5) Yes, all multiples of 4 are also multiples of 2.

6) No, not all multiples of 2 are multiples of 4.

7) Yes, If both 2 and 5 are factors of a number, is 10 a factor of the same number

1) Every multiple of 3 is a multiple of 6, and as such all multiples of 6 are also multiples of 3 because 3 is a factor of 6.

2) 3 is a factor of 9 because it is divisible by 9. Thus, every number that has 9 as a factor also has 3 as a factor.

3) 4 is a factor of 8 because it is divisible by 8. Thus, every number that has 8 as a factor also has 4as a factor.

4) Similar to answer 3 above, but this is not true because 8 is not a factor of 4.

5) 2 is a factor of 4 and this means that 2 is divisible by 4. Thus, all multiples of 4 must be divisible by 2 and as such all multiples of 4 are also multiples of 2.

6) Not all multiples of 2 are multiples of 4 because 4 is not a multiple of 2.

6) Yes if both 2 and 5 are factors of a number, then 10 is also a factor because 10 is divisible by 2 and 5.

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The events are independent, the probability of selecting any combination of r days is the product of the probabilities of selecting each day, which is the same as the distribution of the unordered set of r days when N(n) = r.

(a) The distribution of N(n) is a binomial distribution, since the events are independent and occur with a fixed probability p. Therefore, N(n) follows a Binomial distribution with parameters n and p:

N(n) ~ Binomial(n, p)

(b) The distribution of T1 is a geometric distribution, as it represents the number of trials until the first success (event occurs) in a sequence of independent Bernoulli trials with probability p. Therefore, T1 follows a Geometric distribution with parameter p:

T1 ~ Geometric(p)

(c) The distribution of Tr is a negative binomial distribution, as it represents the number of trials until the rth success (event occurs) in a sequence of independent Bernoulli trials with probability p. Therefore, Tr follows a Negative Binomial distribution with parameters r and p:

Tr ~ Negative Binomial(r, p)

(d) Given that N(n) = r, the unordered set of r days on which events occurred has the same distribution as a random selection (without replacement) of r of the values 1, 2, ..., n. This is because each event occurs independently and with a fixed probability p. When you select r days randomly (without replacement), the probability of each day being selected is p, and the probability of each day not being selected is (1-p). Since the events are independent, the probability of selecting any combination of r days is the product of the probabilities of selecting each day, which is the same as the distribution of the unordered set of r days when N(n) = r.

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The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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Answer:

6, 12, 18, 24, 30

Step-by-step explanation:

1+2+3+4+5 = 15

90 divided by 15 is 6

6x1 = 6

6x1 = 12

6x1 = 18

6x1 = 24

6x1 = 30

The range of the numbers is 24.

The range is the difference between the highest value and the lowest value of the data. It helps in knowing the spread of the data.

Range = Highest Value - Lowest Value.

Here, Let the five numbers be x , 2x, 3x, 4x, and 5x

         Sum of numbers = 90

Now, x + 2x + 3x + 4x + 5x = 90

                    15x = 90

                     x = 90 / 15

                    x = 6

So, the numbers are 6, 12, 18, 24, 30

Range = Highest Value - Lowest Value

Range = 30 - 6 = 24

Thus, The range of the numbers is 24.

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The domain for the rational function 1/x is x ∈ R, x ≠ 0,In interval notation, the domain can be written as (-∞, 0) U (0, ∞).

The domain of a function refers to the set of all possible input values, or independent variables, for which the function is defined or meaningful. It represents the set of values for which the function can be evaluated without any issues or errors.

A rational function is a function that can be expressed as the quotient or ratio of two polynomials, where the numerator and denominator are both polynomials and the denominator is not equal to zero. In other words, a rational function is a function of the form:

f(x) = P(x)/Q(x) ,where P(x) and Q(x) are polynomials, and Q(x) ≠ 0.

According to the given information:

In a rational function, the denominator cannot be equal to zero, as division by zero is undefined in mathematics. Therefore, the domain of the expression 1/x consists of all real numbers except for x = 0.

Mathematically, the domain of the expression 1/x can be expressed as:

Domain: x ∈ R, x ≠ 0

This means that x can take any real value except for 0, as division by zero is not defined. In interval notation, the domain can be written as (-∞, 0) U (0, ∞), which represents all real numbers except for 0.

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Statement                                              Matching

bounded and uses brackets  { ]                 ≥

-5 is included in the solution                (- ∞, - 5] or(0, ∞)      

-5 is not included in the solution         (- ∞, - 10] or (- 5, ∞)

unbounded and uses parentheses ( )        - ∞

While using a brackets { ], the terms in the bracket are included in the solution hence we use ≥

While using a parentheses ( ), the terms in the parentheses are not included in the solution hence we have -∞. We can also use < or > or ∞. Since the terms no included in the solution

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The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Answer:

I think the answer is 17

Step-by-step explanation:\

The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.  

I hope this helps :)

The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Answer:

700/1=700

Th ratio is 700 times more so we multiply by 700

700 x 0.72 = 504

504 pounds

Hope this helps

Step-by-step explanation:

She will get 504 pounds by multiplying 700×0.72= 504.

Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.

Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).

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