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2 years ago

Fiona needs to choose a five-character password with a combination of three letters and the even numbers 0, 2, 4, 6, or 8.

Mathematics

1 answer:

katen-ka-za [31]2 years ago

8 0

The total outcomes of creating a password is 20

<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>

The given parameters are

Letters = 3

Digits = 5 digits i.e 0, 2, 4, 6, or 8.

From the question, the digits and the letters cannot be repeated.

So, we have:

Possible letters = 3 characters (position fixed)

Digits = 2 numbers

So, the total outcomes of creating different passwords is

Total = 1 * 1 * 1 * 5 * 4

Evaluate the product

Total = 20

Hence, the total outcomes of creating a password is 20

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Find the surface area of the figure below. Round it to the nearest tenth.

s2008m [1.1K]

Answer:

173.4

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4

8 0

3 years ago

10,534,341 is divisible by<br> a. 3<br> b. 9<br> c. 2<br> Explain your reasoning for your choice(s).

Katyanochek1 [597]

Answer:

a. 3

Step-by-step explanation:

We can get to know if a number is divisible by 3 if after adding all the digits of that number we get a number which is completely divisible by 3 or we can say the number appears in the table of 3.

For example: In the given number if we will add all the digits the we will get 21 and we all know that 21 is divisible by 3.

10,534,341 = 1 + 0 + 5 + 3 + 4 + 3 + 4 + 1 = 21

21 = 21/3 = 7

Other options are incorrect.

Divisibility rule for 2 : A number is said to be divisible by 2 if it's ones place ends in 0, 2, 4, 6 or 8 i.e. an even number. The given number does not satisfy this condition because it ends in 1 which is an odd number.

Divisibility rule for 9 : A number is said to be divisible by 9 if after adding all the digits of that number we get a number which is completely divisible by 9. Since the sum total of the given number is 21 which is not completely divisible by 9 we can easily infer that 9 is not the answer for this question.

3 0

3 years ago

I need help. Thank you.

Oduvanchick [21]

Answer:

A=-5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

50,000 contestants participate in an on-line game. The game randomly eliminates 20% of the contestants each day. Determine the n

irga5000 [103]

Answer:10,486 contestants

Step-by-step explanation:

First day:

Total number of contestants at the beginning = 50,000

After first day, 20% 0f 50,000 are removed.

That is, (20/100)×50,000 = 10,000

Contestants remaining after first day = 50,000-10,000 = 40,000

Second day:

Contestants= 40,000

20% removed

That is (20/100)×40000=8000

Balance =40000-8000=32,000

Third day:

Contestants= 32000

20% removed

That is (20/100)×32000=6400

Balance =32000-6400=25,600

Fouth day:

Contestants= 25,600

20% removed

That is (20/100)×25,600=5,120

Balance =25,600-5,120=20,480

Fifth day:

Contestants= 20,480

20% removed

That is (20/100)×20,480=4096

Balance =20,480-4096=16,384

Sixth day:

Contestants= 16,384

20% removed

That is (20/100)×16,384=3276.8

Balance =16,384-3276.8=13,107.2

Seventh day:

Contestants= 13,107.2

20% removed

That is (20/100)×13,107.2=2621.44

Balance =13107.2-2621.44=10485.76

Therefore, number of contestants remaining after one week equals 10,486.

6 0

3 years ago

Brittany has a gift box in the shape of a cube. Each side of the box measures 15 cm. what is the volume of the gift box?

miss Akunina [59]

The formula for the volume of a cube is:

v=s³

Where v=volume and s=the length of a side

Since we know that the length of a side of the gift box is 15cm, we can solve for the volume.

v=15³=3375cm³

Answer: V=3375cm³

7 0

3 years ago

Read 2 more answers