Explanation

Square (regular quadrilateral):

all four sides are of equal length (equilateral), and all four angles are right angles. 

A triangle that has no equal sides and no equal angles is known as a Scalene Triangle

while 

if two sides of a triangle are of equal length, then it is called. Isosceles triangle

Explanation

Total number of votes polled$=(1136+7636+11628)=20400$
$\therefore$  Required Percentage

$=(\frac{11628}{20400}\times 100)$%
$=57$%

OR

Total number of votes polled

= (1,136 + 7,636 + 11,628)

= 20,400

Calculate percentage

= (11,628 / 20,400×100)

= 57%

Explanation

⇒  Let total examines is x.

⇒  65% of total examines has passed. 

⇒  student failed =100%−65%=35%

Then, 35% of examines have failed.

⇒  Number of failures is 420

∴  35% of x=420

∴   35x/100 = 420

 x=(420 * 100)/35

∴  x=1200

Thus, Total number of examines are 1200.

Explanation

A polygon having 8 sides is called octagon.

A polygon having 10 sides is called decagon.

A polygon having 4 sides is called quadrilateral.

Explanation

• Avg of 6 numbers = 30
• Sum of 6 numbers = 6 x 30 = 180
• Avg of first 4 numbers = 25
• Sum of first 4 numbers = 4 x 25 = 100
• Avg of last 3 numbers = 35
• Sum of last 3 numbers = 3 x 35 = 105
• Now, let's find the 4th number:
• Sum of first 3 numbers = Sum of first 4 numbers - 4th number
• = 100 - 4th number
• Sum of first 3 numbers = Sum of all 6 numbers - Sum of last 3 numbers
• = 180 - 105
• = 75
• So, 75 = 100 - 4th number
• 4th number = 100 - 75
• = 25

Explanation

The mean of 100 items is 30, so the total sum of all items is:

30 x 100 = 3000

However, two items were wrongly taken as 32 and 12 instead of 23 and 11, which means the correct total sum should be:

3000 - 32 - 12 + 23 + 11 = 2990

Since there are 100 items, the correct mean is:

2990 ÷ 100 = 29.9

So, the correct answer is: 29.9

Explanation

Let, a and b two given numbers.

Let,

$A_1,A_2,A_3.............A_n$ be Arithmetic means between a and b.

$a,A_1,A_2,A_3.............A_n,$

Explanation

The ratio of copper to silver is 3:7.

To find the percentage of silver in the alloy, we can use the following formula:

Percentage of silver = (Amount of silver / Total amount) × 100

First, let's find the total amount:

Total amount = Copper + Silver

= 3 + 7

= 10

Now, we can plug in the values:

Percentage of silver = (7 / 10) × 100 = 70%

So, the percentage quantity of silver in the alloy is 70%.

The correct answer is: 70%

Explanation

The mean proportional between two numbers a and b is a number x such that: a : x :: x : b

In this case, we want to find the mean proportional between 64 and 81.

Let's set up the proportion: 64 : x :: x : 81

We can rewrite this as: 64/x = x/81

Cross-multiplying, we get: 64 × 81 = x^2

Simplifying, we get: 5184 = x^2

Taking the square root of both sides, we get:

x = √5184

x = 72

So, the mean proportional between 64 and 81 is 72.

Explanation

n(A) = 75% of 600 = 450

n(B) = 45% of 600 = 270 and n(A ∪ B) = 600

∵ n(A∩B) = n (A) + n(B) - n(A∪B) = (450 + 270 - 600) = 120