Lucky won 500$ in a lottery she used 25% to buy candies and saved the rest how much money did she save

Step-by-step explanation:

\(\large{ \star \fcolorbox{magenta}{purple}{ \fcolorbox{magenta}{blue}{ \fcolorbox{magenta}{pink}{ \fcolorbox{magenta}{red}{ \sf{ añßwër}}}}}} \star\)

3/5× 10 :- 6 cups

The curve y = x^3 from x = 1 to x = 4 is approximately 80.4375 square units.

To approximate the area under the curve y = x^3 from x = 1 to x = 4 using a Right Endpoint approximation with 6 subdivisions,

we can divide the interval [1, 4] into 6 equal subintervals and approximate the area by summing the areas of the rectangles formed using the right endpoints of each subinterval.

Step 1: Calculate the width of each subinterval:

Width = (b - a) / n

Width = (4 - 1) / 6

Width = 3 / 6

Width = 0.5

Step 2: Calculate the right endpoints of each subinterval:

x1 = 1 + (1 * 0.5) = 1.5

x2 = 1 + (2 * 0.5) = 2

x3 = 1 + (3 * 0.5) = 2.5

x4 = 1 + (4 * 0.5) = 3

x5 = 1 + (5 * 0.5) = 3.5

x6 = 1 + (6 * 0.5) = 4

Step 3: Calculate the height (y-value) of each rectangle using the right endpoints:

y1 = (x1)^3 = (1.5)^3 = 3.375

y2 = (x2)^3 = (2)^3 = 8

y3 = (x3)^3 = (2.5)^3 = 15.625

y4 = (x4)^3 = (3)^3 = 27

y5 = (x5)^3 = (3.5)^3 = 42.875

y6 = (x6)^3 = (4)^3 = 64

Step 4: Calculate the area of each rectangle:

Area1 = Width * y1 = 0.5 * 3.375 = 1.6875

Area2 = Width * y2 = 0.5 * 8 = 4

Area3 = Width * y3 = 0.5 * 15.625 = 7.8125

Area4 = Width * y4 = 0.5 * 27 = 13.5

Area5 = Width * y5 = 0.5 * 42.875 = 21.4375

Area6 = Width * y6 = 0.5 * 64 = 32

Step 5: Sum up the areas of all the rectangles:

Approximated Area = Area1 + Area2 + Area3 + Area4 + Area5 + Area6

Approximated Area = 1.6875 + 4 + 7.8125 + 13.5 + 21.4375 + 32

Approximated Area ≈ 80.4375

Therefore, using a Right Endpoint approximation with 6 subdivisions, the approximate area under the curve y = x^3 from x = 1 to x = 4 is approximately 80.4375 square units.

Learn more about interval here: brainly.com/question/11051767

#SPJ11

Answer:

3) 25, 12.5, 6.25

4) 324, -972, 2916

Step-by-step explanation:

Answer:

Triangle ABC is congruent to triangle DFE.

The coordinates of the vertices after a 270° counterclockwise rotation around the origin is done are:

When you rotate the vertices of a shape 270° counterclockwise rotation around the origin, then the coordinates change from (x, y) to (y,-x) where x and y are flipped and x becomes negative.

The coordinates after the  270° counterclockwise rotation around the origin are:

S = (7, 0)

S' = (0, -7)

U = (1, 1)

U' = (1, -1)

T = (7, 6)

T' = (6, -7)

Find out more on 270° counterclockwise rotations at https://brainly.com/question/28082021

#SPJ1

The given formulas are matched with their corresponding descriptions as follows:

a. S(I – R)-1 - H. This formula is used to find the stable matrix of an absorbing matrix.b. A Col. = Ba2 - B. This formula is used to find the equation of a line given a point and a slope or given two points.c. y = c + C2x - D. This formula is used to find a linear model when more than two data points are given.d. X=A-1.Y - G. This formula is used to find the product matrix given an input-output matrix and a consumer demand matrix.e. N.Exy-Ex-2y C2 = m = N-Ex2-(Ex)2 - F. This formula is used to find the c values for a polynomial model that has degree n and n+1 data points.f. C=(AT • A)-1.(ATY) - E. This formula is used to find the c values for an overdetermined matrix.g. y-yı = m(x – x4) - A. This formula is used to find a linear model when two data points are given.h. X = (I – A)-1.D - C. This formula is used to help find the stable matrix of an absorbing matrix.

This formula is used to project future outcomes by finding the stable matrix.

a. The formula S(I – R)-1 is used to find the stable matrix of an absorbing matrix, which represents the long-term distribution of a Markov chain.

b. The formula A Col. = Ba2 is used to find the equation of a line given a point and a slope or given two points, allowing us to model linear relationships.

c. The formula y = c + C2x is used to find a linear model when more than two data points are given, enabling us to estimate the relationship between variables.

d. The formula X = A-1.Y is used to find the product matrix given an input-output matrix and a consumer demand matrix, facilitating economic analysis.

e. The formula N.Exy-Ex-2y C2 = m = N-Ex2-(Ex)2 is used to find the c values for a polynomial model that has degree n and n+1 data points, allowing us to fit a polynomial curve to the data.

f. The formula C=(AT • A)-1.(ATY) is used to find the c values for an overdetermined matrix, helping us solve systems of equations with more equations than unknowns.

g. The formula y-yı = m(x – x4) is used to find a linear model when two data points are given, providing a simple equation for a straight line.

h. The formula X = (I – A)-1.D is used to help find the stable matrix of an absorbing matrix, which represents the long-term behavior of a Markov chain.

The statement "This formula is used to project future outcomes by finding the stable matrix" refers to the formula used to find the stable matrix of an absorbing matrix, which allows us to analyze the long-term behavior of a system.

Learn more about matrix here: brainly.com/question/29132693
#SPJ11

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

We can classify the graph of the equation 25x² − 10x − 200y − 119 = 0 as a hyperbola.

The given equation is 25x² − 10x − 200y − 119 = 0.

Let's see how we can classify the graph of this equation.

To classify the graph of the given equation as a circle, a parabola, an ellipse, or a hyperbola, we need to check its discriminant.

The discriminant of the given equation is given by B² - 4AC, where A = 25, B = -10, and C = -119.

The discriminant is:(-10)² - 4(25)(-119) = 100 + 11900 = 12000

Since the discriminant is positive and not equal to zero, the graph of the equation is a hyperbola.

Hence, we can classify the graph of the equation 25x² − 10x − 200y − 119 = 0 as a hyperbola.

To know more about hyperbola visit:

https://brainly.com/question/19989302

#SPJ11

The graph of Linear Equation is always a straight line .

Step-by-step explanation:

step 1. x = 70° (alternate interior angles)

step 2. y = 90° (same side interior angles).

Answer:

7 3/7 - 3 4/5 is going to be 3 22/35

Answer:

3 22/35

Step-by-step explanation:

\(7\frac{3}{7} - 3\frac{4}{5} \\\frac{52}{7} - \frac{19}{5}\\ \frac{260}{35} - \frac{133}{35} \\\frac{127}{35} = 3\frac{22}{35}\)

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:16d

Step-by-step explanation:

The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

learn more about probability here

brainly.com/question/28009432

#SPJ4

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

We have to find how many bracelets she starts with.

We can call it x by now.

If she sold half, she keeps x/2.

Then, she bought 20 more, so the final number is x/2 + 20.

We also know that this final number is 45, so we can write and solve for x:

Answer: she starts with 50 bracelets.

Answer:

27 is the correct answer

Answer:

27

Step-by-step explanation:

2b. The probability that Iqbal passes at least two of the papers he attempts is 0.468.

2c. The probability that Iqbal passes his third paper, given that he passed only one previous paper, is 0.64.

To calculate this, we can use the probability tree diagram and add up the probabilities of the branches where Iqbal passes at least two papers. These branches are PPF, PFP, FPP, PPP, PFF, and FPF. The sum of their probabilities is 0.468.  Therefore, the probability that Iqbal passes at least two of the papers he attempts is 0.468.

We can use Bayes' theorem to find this probability. Let A be the event that Iqbal passes his third paper, and let B be the event that he passed only one previous paper. Then we want to find P(A|B). We know that P(A) = 0.6 + 0.7 + 0.8 = 2.1 and P(B) = 0.60.40.6 + 0.60.40.4 + 0.40.70.6 = 0.288. We also know that P(A and B) = 0.60.40.4 + 0.40.70.4 + 0.40.30.8 = 0.16. Then, by Bayes' theorem,

P(A|B) = P(A and B)/P(B) = 0.16/0.288 = 0.5556 ≈ 0.64.

Therefore, the probability that Iqbal passes his third paper, given that he passed only one previous paper, is 0.64.

You can learn more about probability at

https://brainly.com/question/25839839

#SPJ11

The quality control engineer will test the parts every 3 minutes.

To determine how often the quality control engineer tests the parts, we need to find the least common multiple (LCM) of the time it takes for the first machine to make a part and the time it takes for the second machine to make a part.
The first machine makes a part every 12 seconds, while the second machine makes a part every 45 seconds.
To find the LCM, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 45: 45, 90, 135, 180, 225, 270, ...
From the lists above, we can see that the smallest number that appears in both lists is 180.
Therefore, the quality control engineer will test the parts every 180 seconds.
To express the answer in minutes, we can convert 180 seconds to minutes:
180 seconds ÷ 60 = 3 minutes

Learn more about the least common multiple: https://brainly.com/question/10749076

#SPJ11

If two windows are made with exactly two colors of glass each, the complete color combination of the glass in one of those windows could be determined by considering the possible combinations of the two colors.

The total number of combinations will depend on the specific colors used and the arrangement of the glass panels within the window.

When considering a window made with exactly two colors of glass, let's say color A and color B, there are various possible combinations. The arrangement of the glass panels within the window can be different, resulting in different color patterns.

One possible combination could be having half of the glass panels in color A and the other half in color B, creating a simple alternating pattern. Another combination could involve having a specific pattern or design formed by alternating the colors in a more complex way.

The total number of color combinations will depend on factors such as the number of glass panels, the arrangement of the panels, and the specific shades of the colors used. For example, if each window has four glass panels, there would be a total of six possible combinations: AABB, ABAB, ABBA, BAAB, BABA, and BBAA.

In conclusion, the complete color combination of the glass in one of the windows made with exactly two colors depends on the specific colors used and the arrangement of the glass panels. The possibilities are determined by the number of panels and the pattern in which the colors are alternated.

To learn more about combinations here

brainly.com/question/31586670

#SPJ11

A is the answer to the question

Hope it helps

Answer:

the answer is A

Step-by-step explanation:

(4, 1)

x = 4 y = 1

x + 2y = 6

4 + 2(1) = 6

4 + 2 = 6

x - y = 3

4 - 1 = 3

hopefully this helps :)

The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

To know more about Efficiency, visit

https://brainly.com/question/15418098

#SPJ11

Answer:

- 44 feets

Step-by-step explanation:

Given the model:

h(t) = -15t2 + 25t + 6

Average height of object from 1 - 4 seconds

At :

t = 1

h(1) = -15(1)^2 + 25(1) + 6 = 16 feets

t = 2

h(2) = -15(2)^2 + 25(2) + 6 = - 4 feets

t = 3

h(3) = -15(3)^2 + 25(3) + 6 = - 54 feets

t = 4

h(4) = -15(4)^2 + 25(4) + 6 = -134 feets

Average height:

(16 + (-4) + (-54) + (-134)) / 4 feets = (- 176 / 4) feets

= - 44 feets

Answer:

\( \huge{ \fbox{ \tt{x = - 2}}}\)

Step-by-step explanation:

\( \underline{ \underline{ \mathfrak{Let's \: solve}}} : \)

\( \star{ \sf{ \: \: 4x - 8 = 7x - 2}}\)

\( \text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}\)

\( \mapsto{ \sf{4x - 7x - 8 = - 2}}\)

\( \text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)

\( \mapsto{ \sf{4x - 7x = - 2 + 8}}\)

\( \text{Step \: 3} : \sf{Collect \: like \: terms}\)

\( \sf{Like \: terms \: are \: those \: which \: have \: same \: base}\)

\( \mapsto{ \sf{ - 3x = - 2 + 8}}\)

\( \text{Step \: 4} : \sf{Calculate}\)

\( \underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}\)

\( \mapsto{ \sf{ - 3x = 6}}\)

\( \text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}\)

\( \mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}} \)

\( \text{ Step \: 4} : \sf{Calculate}\)

\( \mapsto{ \sf{x = - 2}}\)

Hope I helped!

Best regards! :D

~\( \sf{TheAnimeGirl}\)

Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.

Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.

Know more about marijuana here:

https://brainly.com/question/14815907

#SPJ11

Answer:

4 : 7

Step-by-step explanation:

family : car = 2400 : 4200

Simplify by dividing both by 100 ⇒ 24 : 42

Simplify again by dividing both by 6 ⇒ 4 : 7

Cannot be further simplified as 7 is a prime number

Using permutation there are 116,280 potential combinations of 4 employees that might go to the 4 conferences.

The number of selections possible for the first problem, where 4 employees are selected to participate in specialized training from a group of 20 employees, can be found using the combination formula:

C(20, 4) = 20! / (4! × (20 - 4)!) = 4845

Therefore, there are 4845 possible selections of 4 employees for the specialized training program.

For the second problem, we need to select 4 employees to attend 4 different conferences.

The order of selection matters, since each employee, will be attending a different conference.

Therefore, we need to use the permutation formula:

P(20, 4) = 20! / (20 - 4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116280

Therefore, there are 116,280 possible selections of 4 employees to attend the 4 different conferences.

Learn more about permutation at

https://brainly.com/question/1216161

#SPJ4

Answer:

Step-by-step explanation:

From the given information:

The ratio of the limiting floor area to lot area is 0.60 to 1

i.e.

= 0.60 : 1

For instance, let's take that the remodel size as p sq.ft on 1140 sq.ft

Then, the ratio = \(\dfrac{p}{11400}\)

The proportion of these equations is as follows:

\(\dfrac{p}{11400} = \dfrac{0.60}{1}\)

\(p \times 1 = 11400 \times 0.60\)

\(p = 11400 \times \dfrac{60}{100}\)

\(p =\dfrac{ 11400 \times 60}{100}\)

\(p =\dfrac{ 114 \times 100 \times 60}{100}\)

\(p = 114 \times 60\)

p = 6840 sq ft

Thus, the maximum allowable size of a remodeled house is 6840 sq.ft

b.

Recall that, the size of the home remodeled by limiting floor to lot area is

0.60:1

Then the proportion equation form is as follows:

\(\dfrac{0.60}{1}= \dfrac{5040}{x}\)

By cross multiplying

\(0.60 \times x = 5040 \times 1\)

\(x = \dfrac{5040 \times 1}{0.60 }\)

\(x = \dfrac{5040 \times 100}{60 }\)

\(x = \dfrac{84 \times 60 \times 100}{60 }\)

\(x =84 \times 100\)

x = 8400 sq.ft

Hence, the size of lot area is 8,400 sq.ft

Answer:

2x^2+x+6

Step-by-step explanation:

if the 4x3 meant 4x^3, then im pretty sure this is the correct answer

Answer: 4x + 3 = 39

Step-by-step explanation:

Because you don't know how much each pizza costs, you can write it as x.

You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.

That added up should equal 39 because thats how much he spent.

Answer: The answer is C ( 4x + 3 = 39 )

Step-by-step explanation:

4 = number of Pizzas. x = price of pizza. 3 = price of chips. 39 = total of 4 pizzas and chips together.

1) 4x + 3 = 39

2) 4x = 39 - 3

You will seperate the variable(4x) and the constants(3 and 9) So, you move (+3) to the other side making it negative. Then, you subtract (39-3) which will equal to (36)

4) 4x = 36

5) x = 36/4

You want to move the coefficient(4) to the other side. Thus, will make it a division becaue the oppisite of multiplication is division. So you cancel it out from x because 4/4 is 1.

6) x = 9

You divided 36/4 which will equal to 9

7) 4(9) + 3 = 39