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Genrish500 [490]
3 years ago
13

Heeeelp !! please!!!!

Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0
1.
The vowels of the 26 letters of the English alphabet, excluding y, are 5:

a, e, i, o
and u.

2.
The prime numbers less than 10 are 4:    2, 3, 5 and 7.

3.

The raffle tickets have one of {a, e, i, o,u} as the first character, and 

one of {2, 3, 5, 7} as the second character.

4. Some examples of the raffle tickets: a2, a3, e5, i7 ...

In total there are 5*4=20 possible tickets, as any of the 5 vowels can be combined with any of the 4 primes.

that is, we have a2, a3, a5, a7, e2, e3, ....u7

5.

The only vowel contained in the word "event" is e.


"the digit is the number of letters in the word event":

the word "event" has 5 letters. 

--------------------------------------------------------------------------------------------------
Remark: it is not particularly clear whether it is "the number of letters" or "the number of different letters", in which case there would be 4.

For example, if Adam is asked how many letters are there in his name, we expect him to say "4", unless specifically asked "how many different letters are there"
--------------------------------------------------------------------------------------------------

The ticket which matches the description can only be e5

6.

P(e5)=(number of ways e5 may occur)/(total number of tickets)= 1/20=0.05


Answer: 1/20 = 0.05
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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
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Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

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The smallest digit of the smallest number is at the thousands place.

<h3>What is Number System ?</h3>

The system of representing numbers is called Number System.

The given numbers are 6895 , 4875 , 5689

The smallest number among these is 4875

The smallest digit in this number is 4

4 is at thousands place

Therefore , The smallest digit of the smallest number is at the thousands place.

To know more about Number System

brainly.com/question/22046046

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