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Vladimir [108]
2 years ago
8

Which of the following statements are true? Select all that apply.

Mathematics
1 answer:
alexdok [17]2 years ago
7 0

It is

B C D

all but A

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Five digit serial numbers for a product are to be made using letters and/or numbers, e.G. JGR29. The serial number could have al
S_A_V [24]

Answer:

1,404,000 serial numbers can be made

Step-by-step explanation:

For the five digit serial numbers, since all letters and all numbers could be used, then we can use 26 letters (A,B,C,...Z) and 10 numbers (0,1,2,...9).

Now, say the letters and numbers are to occupy the labeled spaces below

_  _  _  _  _

1   2  3  4  5

(NOTE: Spaces 1,2,3 are to be occupied by any of the 26 letter while spaces 4 and 5 are to be occupied by any of the 10 numbers)

For space 1, there are 26 possibilities

For space 2, there will be (26 -1 ) 25 possibilities (since repetition of characters is NOT allowed)

For space 3, there will be (26-2) 24 possibilities (since repetition of characters is NOT allowed)

For space 4, we have 10 possibilities

and for space 5, we (10-1) 9 possibilities (since repetition of characters is NOT allowed)

Therefore, the number of serial numbers that can be made is

26 × 25 × 24 × 10 × 9 = 1404000

Hence, 1,404,000 serial numbers can be made

OR

Using permutation, nPr = n!/(n-r)!

For the letters,

n is the total number; n = 26

and r is the number of available spaces, r = 3

For the numbers,

n = 10

r = 2

Then, we get

26P3 × 10P2

26!/(26-3)! × 10!/(10-2)!

26!/23! × 10!/8!

15600 × 90 = 1404000

5 0
3 years ago
What is 1 5/8 in decimal form?
Law Incorporation [45]
The answer is 1.625
6 0
3 years ago
Read 2 more answers
V=1÷3a2h rewrite the equation for h​
Ierofanga [76]

Answer:

h=(1)/(3a^(2)V)

Step-by-step explanation:

6 0
2 years ago
Last summer ,at camp okey fun okey,the ratio of the number of boys campers to the girls campers was 8:7. If there were a total o
olya-2409 [2.1K]
<span>With a boys to girls ratio of 8:7, this means 8/15 of the campers are boys and 7/15 of the campers are girls.

We are told that there are 195 total campers.

To find # of boys: 195 (the total # of campers) x 8/15 (fraction of the campers that are boys) = 104  boys

To find # of girls: 195 (total # of campers) x 7/15 (fraction of the campers that are girls) = 91 girls

Note: If you do not know how to multiply by fractions, let me know, I have another trick that takes more time but doesn't require the use of fractions.




</span>
3 0
3 years ago
Fitness Your goal is to take at least 10,000 steps per day. According to your pedometer, you have walked 527 4 steps. Write and
Archy [21]

The inequality is x + 5274 ≥ 10,000.

The total number of steps I have to take to reach my goal is 4726.

<h3>How many more steps do I have to take?</h3>

Here are inequality signs and what they mean:

  • > means greater than
  • < means less than
  • ≥ means greater than or equal to
  • ≤ less than or equal to

Number of steps I have to take + number of steps I have taken ≥Total steps

X + 5274 + x ≥ 10,000

x ≥ 10,000 - 5274

x ≥ 4726

To learn more about inequality, please check: brainly.com/question/5031619

#SPJ1

5 0
1 year ago
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