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Cerrena [4.2K]
2 years ago
14

1 point

Mathematics
1 answer:
Eduardwww [97]2 years ago
7 0

Answer:

3/12< 5/9

Step-by-step explanation:

3/12 = 9 / 36

5/9 = 20/36

9/36 < 20/26

You might be interested in
a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6?6x7x7=294 b) How many three-digit numbers
love history [14]

Answer:

a) 294

b) 180

c) 75

d) 168

e) 105

Step-by-step explanation:

Given the numbers 0, 1, 2, 3, 4, 5 and 6.

Part A)

How many 3 digit numbers can be formed ?

Solution:

Here we have 3 spaces for the digits.

Unit's place, ten's place and hundred's place.

For unit's place, any of the numbers can be used i.e. 7 options.

For ten's place, any of the numbers can be used i.e. 7 options.

For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.

Total number of ways = 7 \times 7 \times 6 = <em>294 </em>

<em></em>

<em>Part B:</em>

How many 3 digit numbers can be formed if repetition not allowed?

Solution:

Here we have 3 spaces for the digits.

Unit's place, ten's place and hundred's place.

For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.

Now, one digit used, So For unit's place, any of the numbers can be used i.e. 6 options.

Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.

Total number of ways = 6 \times 6 \times 5 = <em>180</em>

<em></em>

<em>Part C)</em>

How many odd numbers if each digit used only once ?

Solution:

For a number to be odd, the last digit must be odd i.e. unit's place can have only one of the digits from 1, 3 and 5.

Number of options for unit's place = 3

Now, one digit used and 0 can not be at hundred's place So For hundred's place, any of the numbers can be used i.e. 5 options.

Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.

Total number of ways = 3 \times 5 \times 5 = <em>75</em>

<em></em>

<em>Part d)</em>

How many numbers greater than 330 ?

Case 1: 4, 5 or 6 at hundred's place

Number of options for hundred's place = 3

Number of options for ten's place = 7

Number of options for unit's place = 7

Total number of ways = 3 \times 7 \times 7 = 147

Case 2: 3 at hundred's place

Number of options for hundred's place = 1

Number of options for ten's place = 3 (4, 5, 6)

Number of options for unit's place = 7

Total number of ways = 1 \times 3 \times 7 = 21

Total number of required ways = 147 + 21 = <em>168</em>

<em></em>

<em>Part e)</em>

Case 1: 4, 5 or 6 at hundred's place

Number of options for hundred's place = 3

Number of options for ten's place = 6

Number of options for unit's place = 5

Total number of ways = 3 \times 6 \times 5 = 90

Case 2: 3 at hundred's place

Number of options for hundred's place = 1

Number of options for ten's place = 3 (4, 5, 6)

Number of options for unit's place = 5

Total number of ways = 1 \times 3 \times 5 = 15

Total number of required ways = 90 + 15 = <em>105</em>

7 0
3 years ago
PLEASE HELP!!!!!!!!!!
Pani-rosa [81]
Well technically this problem is wrong, as two sides are the same on a rectangle on each side. 

7 0
3 years ago
A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of
Ugo [173]

Answer:

0.2379

lmk if im wrong :)

5 0
2 years ago
1. a type of bamboo holds a Guinness world record for the fastest growing plant.is can grow 91cm a day. how fast in inches per h
nikdorinn [45]

1-

Given length is 91 cm

1 cm = 0.3937 inch

so, 91 cm = 91* 0.3937 = 35.826 inches

1 day = 24 hours

In 24 hours the bamboo grows = 35.826 inches

In one hour it will grow = \frac{35.826}{24}

= 1.492 inches per hour. Hence the bamboo grows 1.492 inches per hour.


2-

We have to convert hours and seconds in minutes.

1 hour = 60 minutes

so 10 hours = 60 * 10 = 600 minutes.

60 seconds = 1 minute

so 24 seconds = \frac{24}{60} = 0.4 minutes.

Now we have been given the total time as 10 hours, 39 minutes and 24 seconds

So adding all values in minutes, we get

600 + 39 + 0.4 = 639.4 minutes

So Saturn takes 639.4 minutes to complete one rotation

3-

Given equation is 0.4(30h)+30h

0.4(30h) represents the amount of tax Kimberly has to pay.





8 0
3 years ago
your job pays 8$ per hour Write a variable expression for your pay in dollars for working h hours. What is your pay if you work
lawyer [7]

Answer:

$8h

Your pay is $288 for working 36 hours

Step-by-step explanation:

I hope this helps :)

7 0
3 years ago
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