1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pantera1 [17]
3 years ago
5

A sum of Rs.41 was divided among 50 boys and

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

The number of boys is 34   And The number of girls is 16

Step-by-step explanation:

Given as :

Total number of boys and girls =  50

Total amount to be divided between boys and girls =  Rs 41

The amount given to each boys = 90 paise = Rs 0.9

The amount given to each girls = 65 paise = Rs 0.65

Let The number of Boys = B

The numbers of girls = G

So, According to question

0.9 B + 0.65 G = Rs 41

And B + G = 50

Or, 0.9 B + 0.65 G = Rs 41          .......1

And 0.9 B + 0.9 G = 45                 ......2

Now, (  0.9 B + 0.9 G ) - ( 0.9 B + 0.65 G ) = 45 - 41

Or,      0.25 G = 4

∴                  G = \frac{4}{0.25} = 16

And The number of boys = B = 50 - G = 50 - 16 = 34

Hence  The number of boys is 34   And The number of girls is 16   Answer

You might be interested in
If cotangent equals four thirds what is the cosecant
lara31 [8.8K]

Answer: 1/3

Step-by-step explanation:

cotangent equals cos/sin. So the sin is 3. And cosecant is 1/sin.  So that means its 1/3.

3 0
3 years ago
Read 2 more answers
Consider the following equation x= r-h/y.Solve the equation for h
Flura [38]

x= r - h/y   subtract r from both sides

x-r = -h/y    multiply each side by -y

-y(x-r) = h

-xy +yr = h

6 0
3 years ago
Read 2 more answers
Select the correct answer. Which pair of statements correctly compares the two data sets? A. The difference of the means is 1. T
Readme [11.4K]

Answer:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1  

represent the mean for sample 2  

represent the sample standard deviation for 1  

represent the sample standard deviation for 2  

sample size for the group 2  

sample size for the group 2  

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by    

Replacing the info given we got:

 

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

 

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
What is 16% of 43 minutes
snow_tiger [21]
The correct answer would be 6 minutes and 52 seconds.
3 0
3 years ago
The scores on the GMAT entrance exam at an MBA program in the Central Valley of California are normally distributed with a mean
Kaylis [27]

Answer:

58.32% probability that a randomly selected application will report a GMAT score of less than 600

93.51%  probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600

98.38% probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

In this problem, we have that:

\mu = 591, \sigma = 42

What is the probability that a randomly selected application will report a GMAT score of less than 600?

This is the pvalue of Z when X = 600. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{600 - 591}{42}

Z = 0.21

Z = 0.21 has a pvalue of 0.5832

58.32% probability that a randomly selected application will report a GMAT score of less than 600

What is the probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600?

Now we have n = 50, s = \frac{42}{\sqrt{50}} = 5.94

This is the pvalue of Z when X = 600. So

Z = \frac{X - \mu}{s}

Z = \frac{600 - 591}{5.94}

Z = 1.515

Z = 1.515 has a pvalue of 0.9351

93.51%  probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600

What is the probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600?

Now we have n = 50, s = \frac{42}{\sqrt{100}} = 4.2

Z = \frac{X - \mu}{s}

Z = \frac{600 - 591}{4.2}

Z = 2.14

Z = 2.14 has a pvalue of 0.9838

98.38% probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600

8 0
3 years ago
Other questions:
  • The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?
    10·2 answers
  • What is the explanation for rate: 150 miles in 6 gallons
    14·2 answers
  • Pleaseeeeee help me out
    7·2 answers
  • Which term completes the product so that it is the difference of squares?<br> (-5x-3)(-5х+____)
    8·1 answer
  • Mark recorded the temperature each day for a week.
    12·1 answer
  • Greg bought four roses for $12.80 if the cost per rose is constant how much would 9 roses cost
    11·2 answers
  • Evaluate f(x)= 4x-2 when x= -2
    10·2 answers
  • You can create s specific type of charts only. true or false add​
    6·1 answer
  • Can someone do the division and show work of 350000 divided by 35
    5·1 answer
  • Please solve with explanation will give brainliest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!