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Jet001 [13]
3 years ago
8

Each student of a class contributed as many 5 paise as the number of students in the class. Find the number of students if the t

otal collection was 101.25.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

I hope the total collection was 101.25 "rupees". If not I think you will, still be able to find an answer of your question based on this following solution.

Let's assume the number of students in the class be x.

Given that, each student of a class contributed as many 5 paise or 0.05 rupee as the number of students in the class.

So, each students contibuted 0.05x.

So, Number of students * each students contribution = Total contribution.

x * 0.05x = 101.25

0.05x²= 101.25

\frac{0.05x^2}{0.05} =\frac{101.25}{0.05} Divide each sides by 0.05.

x² = 2025

x=\sqrt{2025}

So, x = 45

So, there are 45 students in the class.

Hope this helps!

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22% of adults would pay more for environmentally friendly products he randomly select 10 adults find the probability that the nu
Anettt [7]

Answer: 0.383 and 0.6671

Step-by-step explanation:

Take 22%, that is 0.22 to be probability of success.

That means "1-0.22 = 0.78" is the probability of failure.

When dealing with selection in probability mathematics, the combination equation is used.

Probability of selecting number 'r' as a successful outcome from a given number 'n' is given as

nCr * p^r * q^n-r

Where p is the probability of success= 0.22

q is the probability of failure= 0.78

n is the total number of sample =10

r is the varying outcome of number of success.

For the first question, number of success is asked to be everything more than 2, that is probability of choosing 3,4,5,6,7,8,9,10 people with a successful outcome (adults who will pay more for environmentally friendly product.)

Instead of going through the long process of checking probability of success for choosing 3,4,5,6,7,8,9,10 adults who will pay more, we can simply find the probability of choosing 0,1,2 adults who will pay more and subtract the answer from 1.

By doing this, we first check for probability of choosing 0 adult that will pay More and this is gotten by putting r=0 in our probability Formula. The Formula becomes

=10C0 * 0.22^0 * 0.78^10

=1 *1 * 0.0834= 0.0834

Hence, Probability of Choosing 0 adult that will Pay more is 0.0834

To Check for probability of choosing 1 adult that will pay more becomes

=10C1 * 0.22^1 * 0.78^9

=10 * 0.22 * 0.1069 = 0.2352

Hence, Probability of choosing 1adult that will pay more = 0.2352

To Check for the probability of choosing 2adults that will pay more becomes

=10C2 * 0.22^2 * 0.78^8

=45 * 0.0484 * 0.1370 = 0.2984

Therefore the total sum of choosing 0,1,2 adults that are willing to pay more becomes

= 0.0834+ 0.2352+ 0.2984 = 0.617

So to determine the probability of choosing more than 2 adults, that is, 3,4,5,6,7,8,9,10 adults that are willing to pay more, we subtract 0.617 from 1.

This gives 1-0.617 = 0.383

Hence, probability of choosing more than 2 people that are willing to pay more than 2 = 0.383.

To determine the probability of choosing between two and five people inclusive, we follow the same probability formular but r becomes 2,3,4,5 differently.

For probability of choosing 2 adults, we already calculated it to be 0.2984 earlier.

For probability of choosing 3 adults, it becomes

10C3 * 0.22^3 * 0.78^7

=120* 0.0106 * 0.1757 = 0.2235

For the probability of choosign 4 adults, it becomes

10C4 * 0.22^4 * 0.78^6

= 210 * 0.0023 * 0.2252 = 0.1088

For the probability of choosing 5 adults, it becomes

10C5 * 0.22^5 * 0.78^5

= 252 * 0.0005 * 0.2887 = 0.0364

Hence, the probability of choosing between 2 and 5 adults becomes

0.2984 + 0.2235 + 0.1088 + 0.0364 = 0.6671

5 0
3 years ago
15 points PLEASE HELP , and be careful when answering !!
Aleks04 [339]
18.84 because the formula to find the volume of a cone is pie*r^2*h/3 and your radius is 3 and the height is 2, so if you plug those in the equation and calculate it this should be your answer
6 0
3 years ago
Which statement(s) give advantages or disadvantages of systematic random sampling? Check all that apply.
Rina8888 [55]

Answer:

A,D,E

Step-by-step explanation:

Edge 2020

3 0
3 years ago
What is the slope of this line
Illusion [34]

Answer:

-8/5 is the slope.

Step-by-step explanation:

To find slope, it's the change in y over the change in x. Or rise over run.

That would be 8/5.

And this line would be negative because it is going from left to right.

So your final answer would be -8/5 as your slope.

3 0
3 years ago
The scale on a map shows that 5 centimeters = 2 kilometers.
ryzh [129]

5 cm = 2km

Scale= 5 cm : 200000 cm

= 1 : 40000

a. 1 : 40000 = x : 500000

x = 12.5 cm

b.1 : 40000 = 2 : x

x = 80000 cm

x = 0.8 km

8 0
3 years ago
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