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grigory [225]
3 years ago
5

How many four letter permutations can be formed from the first five letters of the alphabet?

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:   120

<u>Step-by-step explanation:</u>

Permutation means that order matters.

_nP_r = \dfrac{n!}{(n-r)!}\quad \text{where n is the total \# of items and r is the quantity chosen} \\\\\text{In the given problem, n = 5 and r = 4}\\\\\\_5P_4=\dfrac{5!}{(5-4)!} = \dfrac{5\times 4\times 3\times 2 \times 1}{1}=120

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A student has a savings account earning 3% simple interest. She must pay $1900 for first-semester tuition by September 1 and $19
Anastaziya [24]

Answer:

$3781.19

Step-by-step explanation:

Let us assume that the student has to earn $(1900 + x) by September 1 so that he can pay the $1900 tuition fee by September 1 and the remaining $x will grow at 3% simple interest to make him able to pay another tuition fee of $1900 by January 1.

So, we can write x( 1 + \frac{4 \times 3}{12 \times 100}) = 1900

{Because September 1 to January 1 is 4 months and the monthly simple interest rate is \frac{3}{12}%}

⇒ 1.01x = 1900

⇒ x = $1881.19 (Rounded to the nearest cents)

Therefore, the student has to earn $(1900 + 1881.19) = $3781.19 (Answer)

8 0
3 years ago
A normal population has a mean of 12.2 and a standard deviation of 2.5. compute the z value associated with 14.3. what proportio
Citrus2011 [14]
The z-score associated with 14.3 is 0.84.  0.2995 of the population is between 12.2 and 14.3.  0.1894 of the population is less than 10.0.

The formula for a z-score is

z=(X-μ)/σ

With our data, we have:
z=(14.3-12.2)/2.5=0.84

The z-score associated with the mean is 0.5.  To find the proportion of the population between the mean and 14.3, subtract 0.7995 (the proportion of population below the z-score of 0.84, using http://www.z-table.com) and 0.5:

0.7995 - 0.5 = 0.2995.

The z-score for 10.0 is

(10.0-12.2)/2.5 = -0.88.  The proportion of the population less than this is 0.1894.
5 0
3 years ago
If y = 12 x – 12, determine the value of y when x = –16.
GrogVix [38]

Answer:

Step-by-step explanation: y=180

4 0
3 years ago
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aleksandrvk [35]
69 - 3a = 0

69 - 3a (-69) = 0 (-69)

-3a = -69

-3a(/-3) = -69(/-3)

a = 23

hope this helps
8 0
3 years ago
WILL MARK CORRECT ANSWER AND FASTES ANSWER BRAINLIEST
wariber [46]

Correct Answer:

Letter C

Step-by-step explanation:

plz mark brainliest!

4 0
3 years ago
Read 2 more answers
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