Ram and his sister Kalpana win a prize of Rs 2000. They decide to share the prize in the ratio of their ages. Ram is 15 years old and Kalpana is 10 years old. How much do each of them receive​

Answers

Answer 1

9514 1404 393

Answer:

Ram -- ₹1200Kalpana -- ₹800

Step-by-step explanation:

Their age total is 15+10=25, so Ram will get 15/25 = 0.6 of the total. Kalpana will get the remaining 0.4 of the total.

  Ram receives 0.6 × ₹2000 = ₹1200

  Kalpana receives 0.4 × ₹2000 = ₹800


Related Questions

A student researcher compares the heights of American students and non-American students from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 12 American students had a mean height of 68.4 inches with a standard deviation of 1.64 inches. A random sample of 17 non-American students had a mean height of 64.9 inches with a standard deviation of 1.75 inches. Determine the 95% confidence interval for the true mean difference between the mean height of the American students and the mean height of the non-American students. Assume that the population variances are equal and that the two populations are normally distributed. Find the point estimate that should be used in constructing the confidence interval.

Answers

Answer:

The point estimate that should be used in constructing the confidence interval is 3.5.

The 95% confidence interval for the true mean difference between the mean height of the American students and the mean height of the non-American students, in inches, is (2.25, 4.75).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

American students:

Sample of 12, mean height of 68.4 inches with a standard deviation of 1.64 inches. This means that:

[tex]\mu_A = 68.4[/tex]

[tex]s_A = \frac{1.64}{\sqrt{12}} = 0.4743[/tex]

Non-American students:

Sample of 17, mean height of 64.9 inches with a standard deviation of 1.75 inches. This means that:

[tex]\mu_N = 64.9[/tex]

[tex]s_N = \frac{1.75}{\sqrt{17}} = 0.4244[/tex]

Distribution of the difference:

[tex]\mu = \mu_A - \mu_N = 68.4 - 64.9 = 3.5[/tex]

[tex]s = \sqrt{s_A^2+s_N^2} = \sqrt{0.4743^2 + 0.4244^2} = 0.6365[/tex]

The point estimate that should be used in constructing the confidence interval is 3.5.

Confidence interval:

[tex]\mu \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower bound of the interval is:

[tex]\mu - zs = 3.5 - 1.96*0.6365 = 2.25[/tex]

The upper bound of the interval is:

[tex]\mu + zs = 3.5 + 1.96*0.6365 = 4.75[/tex]

The 95% confidence interval for the true mean difference between the mean height of the American students and the mean height of the non-American students, in inches, is (2.25, 4.75).

HELP PLEASE!!!!
I need the answer ASAP!!!!

Answers

9514 1404 393

Answer:

  c. y = (x +2)² -5

Step-by-step explanation:

If you replace the squared term with zero, you are choosing the minimum of the remaining values. (A squared term cannot have a negative value.)

  a) 3

  b) 4

  c) -5 . . . . the graph with the least possible y-value

  d) 0

The distance from my home to my school is 4 miles. If I can walk at an average rate of 3 miles per hour, how many minutes should it take to walk from home to school?

Answers

Answer:

80 minutes

Step-by-step explanation:

* means multiply

make 1 hour into 60 minutes

3 miles/60 minutes = 4 miles/x minutes

3x = 240

x = 80

Find the 5th (not fourth) of given geometric sequence. 2000, 1000, 500,...

Answers

Answer:

125

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

1000/2000 = 1/2

We multiply each term by 1/2

2000, 1000, 500

To find the next term 500*1/2 = 500/2 = 250

To find the 5th term

250*1/2 = 125

PLEASE HELP ME

PLEASE BE CORRECT WHEN ANSWERING

Answers

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The scale factor is the ratio of image lengths to original lengths.

  B'C' = 1 unit

  BC = 3 units

The scale factor is B'C'/BC = 1/3.

_____

Additional comment

The center of dilation in this figure is 3 units below D' on the same vertical line. (It is 1 unit off the bottom of the grid shown.)

Let L be the circle in the x-y plane with center the origin and radius 38. Let S be a moveable circle with radius 8 . S is rolled along the inside of L without slipping while L remains fixed. A point P is marked on S before S is rolled and the path of P is studied. The initial position of P is (38,0). The initial position of the center of S is (14,0) . After S has moved counterclockwise about the origin through an angle t the position of P is:

x = 14cost + 24cos(7/12t)
y= 14sint - 24sin (7/12t)

Required:
How far does P move before it returns to its initial position?

Answers

Answer:

P moves = 70.73 m

Step-by-step explanation:

Given data

Radius = 38

initial position of P = ( 38,0 )

initial position of center S = ( 14,0)

position of P ( after s moved counterclockwise )

:  x = 14cost + 24cos(7/12t)

  y = 14sint - 24sin(7/12t)

Determine how far P moves before returning to its initial position

attached below  is the solution

P moves = 70.74 m

Which statement describes the end behavior of this function? g(x) = 1/2|x - 3| - 7
A. As x approaches positive infinity, g(x) approaches negative infinity.
B. As x approaches negative infinity, g(x) approaches negative infinity.
C. As x approaches positive infinity, g(x) approaches positive infinity.
D. As x approaches negative infinity, g(x) is no longer continuous.

Answers

Answer:

C. As x approaches positive infinity, g(x) approaches positive infinity.

Step-by-step explanation:

We are given the following function:

[tex]g(x) = \frac{|x-3|}{2} - 7[/tex]

End behavior:

Limit of g(x) as x goes to negative and positive infinity.

Negative infinity:

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} \frac{|x-3|}{2} - 7 = \frac{|-\infty-3|}{2} - 7 = |-\infty| = \infty[/tex]

Positive infinity:

[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{|x-3|}{2} - 7 = \frac{|\infty-3|}{2} - 7 = |\infty| = \infty[/tex]

So in both cases, it approaches positive infinity, and so the correct option is c.

Which proportion correctly shows the equivalence of two fractions?


A)

19∕95 = 57∕76

B)

32∕116 = 9∕29

C)

18∕36 = 72∕144

D)

18∕36 = 144∕72

Answers

Answer:

32/166=9/29 if two ratio are equivalent to other

If one root of the quadratic equation is 2x2 +kx -6= 0 is 2
find the value of k

Answers

This is ur answer plz mark brainliest

How many gallons each of 15% alcohol and 10% alcohol should be mixed to obtain 5 gal of 13% alcohol?

Answers

9514 1404 393

Answer:

3 gallons 15%2 gallons 10%

Step-by-step explanation:

Let x represent the quantity of 15% alcohol required. Then (5-x) is the amount of 10% alcohol needed. The amount of alcohol in the mix is ...

  0.15x +0.10(5-x) = 0.13(5)

  0.05x +0.5 = 0.65 . . . . . . . simplify

  0.05x = 0.15 . . . . . . . . . subtract 0.5

  x = 3 . . . . . . . . . . . . . divide by 0.05

3 gallons of 15% alcohol and 2 gallons of 10% alcohol should be mixed.

Find f(2) if f(x) = (x + 1)2.
9
6
5

Answers

6 just trust me bro I’m a major in math

Find the total surface area of this square based pyramid. 10ft 10ft (in the image)​

Answers

Answer:

300ft^2

Step-by-step explanation:

Surface Area = 2bs + b^2 where s = height of each triangular surface and b = base

Surface Area = 2(10)(10) + 10^2
Surface Area = 2(100) + 100
Surface Area = 200 + 100
Surface Area = 300ft^2

Select the correct answer. This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75​

Answers

I think it is 1/2 sorry if it’s wrong

Answer:

a.. 1/

Step-by-step explanation:

A restaurant sold 250 drinks in a night. Some of the drinks were sold for $2 each, and the rest for $5 each. If the total sales of drinks for the night was $830, how many $2 drinks were sold?

110
140
145
150
155

?

Answers

Answer:

140

Step-by-step explanation:

Suppose,

x drinks were sold for 2$

y drinks were sold for 5$

therefore, x+y = 250....( 1 )

and 2x+5y = 830......( 2 )

multiply equation ( 1 ) with 2,

2x+2y = 500......( 3 )

Subtract equation ( 3) from (2)

3y = 330

or, y = 110

so, x = 140

so, 140 drinks were sold for 2$

140 drinks were sold for $2.

What are variables and how to define them?

A variable is any letter or symbol that represents a number with an unknown value.

We can define them simply by any alphabet like x or y.

What are linear equations and how to make them?

A linear equation is generally of the form Ax + By = C, where the two variables are x and y, while A, B and C are constants.

A constant is a value or number that never changes and it's constantly the same.

We have to choose our variables and put them in the equation such that it holds properly and satisfies all the conditions for the given question.

How to solve linear equations?

There are several methods of solving linear equations. we may have the linear equation with two or three or many variables. The methods are:

substitution method,elimination method,graphing method.

In the given question first, let's make our variables.

Let, the number of drinks was sold for 2$ is x, and the number of drinks was sold for 5$ is y.

And now we will try to make the linear equation with two variables because we have two variables satisfying the conditions in the question given.

One thing to remember carefully is that we have to have two equations if we have two variables.

The restaurant sold a total of 250 drinks so we can write,

x + y = 250  

The total sales of drinks for the night was $830 so again we can write,

2x + 5y = 830

Now, we have made the two equations, so we will solve them with help of the substitution method.

Let's, take the equation and just find the value of x,

x + y = 250

x = 250 - y

Now, we will substitute the value of x in the other equation,

2×(250 - y) +5y = 830

Multiplying 2 with the term (250 - y),

500 - 2y + 5y = 830

Now, solve for y,

500 +3y = 830

subtracting 500 both sides we get,

500 - 500 + 3y = 830 - 500

3y = 330

Dividing both sides by 3 we get,

(3y) / 3 = 330 / 3

y = 110

Now, again putting the value of y in the equation x + y = 250 we get,

x + 110 = 250

Subtracting 110 both sides we get,

x + 110 - 110 = 250- 110

x = 140

Now, we can conclude that the number of drinks sold for 2$ is 140 and the number of drinks sold for 5$ is 110.

Therefore, 140 drinks were sold for $2.

To know more about linear equations, making them and solving them click here - brainly.com/question/384631

#SPJ2

What is the length of BD Round to one decimal place. Thanks!

Answers

Answer:

2.7

Step-by-step explanation:

ratios help

2.5 : 5.8 :: x : 6.2

2.5/5.8 = x/6.2

solve for x :

x = approx.   2.7

find the missing side length in the image below

Answers

Let missing side be x

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{45}{35}=\dfrac{x}{56}[/tex]

[tex]\\ \sf\longmapsto \dfrac{9}{7}=\dfrac{x}{56}[/tex]

[tex]\\ \sf\longmapsto 7x=9(56)[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{9(56)}{7}[/tex]

[tex]\\ \sf\longmapsto x=72[/tex]

Need help really bad
Do,1 of X is
(4,0)
(4,1)
(5,1)

Answers

Answer:

(4,0)

Step-by-step explanation:

the dot is on 4 and the line is 0 so answer is 4,0

the answer to this question is (4,0)

does anyone know the answer

Answers

Answer:

For some reason I cannot open the photo you have provided.

Step-by-step explanation:

Please try to re-upload?

Answer:

upper left...

there are zeros at (x)(x+3) (x-2)

Step-by-step explanation:

Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
6
8

Answers

a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
square root 100 = square root c^2
10=c
answer is 10

The missing side length is 10 unit.

What is Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

We have,

Perpendicular = 6

Base = 8

Using Pythagoras theorem

c² = P² + B²

c² = 6² + 8²

c²= 36 + 64

c² = 100

c= 10 unit.

Thus, the missing length is 10 unit.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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Scores on the SAT are approximately normally distributed. One year, the average score on the Math SAT was 500 and the standard deviation was 120. What was the score of a person who did better than 85% of all the test-takers

Answers

Answer:

The score of a person who did better than 85% of all the test-takers was of 624.44.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

One year, the average score on the Math SAT was 500 and the standard deviation was 120.

This means that [tex]\mu = 500, \sigma = 120[/tex]

What was the score of a person who did better than 85% of all the test-takers?

The 85th percentile, which is X when Z has a p-value of 0.85, so X when Z = 1.037.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.037 = \frac{X - 500}{120}[/tex]

[tex]X - 500 = 1.037*120[/tex]

[tex]X = 624.44[/tex]

The score of a person who did better than 85% of all the test-takers was of 624.44.

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided.
SSTR = 200 (Sum Square Between Treatments)
SST = 800 (Total Sum Square)
The mean square within treatments (MSE) is _____.
a. 10
b. 600
c. 50
d. 200

Answers

Answer:

[tex]MSE = 10[/tex]

Step-by-step explanation:

Given

[tex]SSTR = 200[/tex]

[tex]SST = 800[/tex]

Required

Determine MSE

This is calculated as:

[tex]MSE = \frac{1}{ddf} * SSE[/tex]

Where:

[tex]SSE = SST - SSTR[/tex]

[tex]ddf \to[/tex] denominator df

So, we have:

[tex]SSE = 800 - 200[/tex]

[tex]SSE = 600[/tex]

To calculate the df, we have:

[tex]r = 13[/tex] --- observations

[tex]n = 5[/tex] treatments

So:

[tex]ddf = Total\ df - Numerator\ df[/tex]

[tex]Total = n*r-1 = 5*13 -1 = 64[/tex]

[tex]Numerator =n - 1 = 5 - 1 =4[/tex]

[tex]ddf =64-4=60[/tex]

So, we have:

[tex]MSE = \frac{1}{ddf} * SSE[/tex]

[tex]MSE = \frac{1}{60} * 600[/tex]

[tex]MSE = 10[/tex]

Write an equation of the line that passes through the pair of points (5, 8) and
(9, 16).

Answers

Answer:

D: y = 2x - 2

Step-by-step explanation:

1. [tex]\frac{16-8}{9-5}[/tex] = 2

2. y = 2x + b

3. Insert the points into the equation: 8 = 10 + b

4. b = -2

5. y = 2x - 2

Answer:  Choice D)  y = 2x-2

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

Explanation:

Apply the slope formula

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

m = (16-8)/(9-5)

m = 8/4

m = 2

Then use this slope, along with another point such as (x,y) = (5,8) to find b

y = mx+b

8 = 2*5+b

8 = 10+b

8-10 = b

-2 = b

b = -2

Or you could use the other point (x,y) = (9,16)

y = mx+b

16 = 2*9+b

16 = 18+b

16-18 = b

-2 = b

b = -2

Either way, we get the same y intercept.

So because m = 2 is the slope and b = -2 is the y intercept, we go from y = mx+b to y = 2x-2

-------------------

To help verify the answer, note how plugging x = 5 leads us to...

y = 2x-2

y = 2*5 - 2

y = 10-2

y = 8

So x = 5 and y = 8 pair up together. This verifies (5,8) is on the line.

Through similar steps, you should find that the input x = 9 leads to the output y = 16. So that would confirm (9,16) is also on the line, and fully confirm the answer.

find x

thank you thank you thank you!!​

Answers

Answer:

Step-by-step explanation:

x=120°


Henry bought a laptop for 4500 the cost of the laptop deprecate by 6% every year.If he decided to sell the laptop after 4 years at what’s price will he sell it

Answers

Answer:

give fufcy UC fugu stuff c

Step-by-step explanation:

zp staff book

Find the volume of this cone. Round to the nearest tenth. 10cm 4cm (image)​

Answers

Answer:

167.6 cm³

Step-by-step explanation:

the volume of a cone :

ground area × height / 3 = pi×r² × height / 3

r = 4 cm

height = 10 cm

pi×4² × 10 / 3 = pi×16×10/3 = pi×160/3 = 167.6 cm³

If someone earns $10 every 15 minutes, how much do they earn in an hour?

Answers

Answer: 40

Step-by-step explanation:

You multiple 15X4=60

And now multiple 10x4=40

Answer:

40$

Step-by-step explanation:

There are 60 minutes in an hour so if we break it down:

$10 = 15 minutes

$10 = 15 minutes

$10 = 15 minutes

$10 = 15 minutes

-------------------------

Add them together and we get:

$40 = 60 minutes or 1 hour  

Meaning they would make 40$ in 1 hour.

Jean and Marie decided to buy new living room furniture worth $6000. They make a down payment of $600. They decide to pay off what they owe in 30 monthly payments. Find the amount of the payments at 9% add-on interest.

Answers

Answer:

5886$ is the ans

Step-by-step explanation:

Paid amount= 6000-600

Total Amount or Interest applicable amount = 5400$

Then

Interest Rate= 9%

by using formula

=. Total amount + Interest rate × Total

=. 5400+0.09×5400

=. 5886$

Solve this linear equation for p

Answers

Answer:

11.2

Step-by-step explanation:

Given the linear equation :

2.6(5.5p-12.4)=127.92 ; solve for p

Open the bracket :

14.3p - 32.24 = 127.92

Add 32.24 to both sides

14.3p - 32.24 + 32.24 = 127.92 + 32.24

14.3p = 160.16

Divide both sides by 14.3

14.3p/14.3 = 160.16/ 14.3

p = 11.2

The value of p = 11.2

please help me i need the answers help me please

Answers

Answer:

scientists

Step-by-step explanation:

Evaluate 210three x 12three

Answers

Answer:

2520

Step-by-step explanation:

210×12=2520

2520three

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