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NikAS [45]
2 years ago
7

What is the total number of possible 4-letter arrangements of the letters m-a-t-h if each letter is used exactly once in each ar

rangement?
Mathematics
1 answer:
MariettaO [177]2 years ago
7 0

9514 1404 393

Answer:

  24

Step-by-step explanation:

The number of permutations of 4 items is 4! = 24.

  math, maht, mtah, mtha, mhat, mhta,

  amth, amht, atmh, athm, ahmt, ahtm,

  tmah, tmha, tamh, tahm, thma, tham,

  hmat, hmta, hamt, hatm, htma, htam

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How can i get the volume??
Paladinen [302]
Length times width times height gives you the volume of things
6 0
3 years ago
A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
natima [27]

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

4 0
3 years ago
Read 2 more answers
Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​
aleksley [76]

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

<h3>How to determine  the exponential model?</h3>

From the complete question,we have the following parameters:

  • Initial value, a = 3
  • Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

brainly.com/question/7296382

3 0
2 years ago
Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.
s344n2d4d5 [400]

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

----------------------------

y=3/2x-13/2

Hope this helps!! :)

4 0
3 years ago
Given that events A and B are independent with P(A)=0.3P(A)=0.3 and P(A\cap B)=0.27P(A∩B)=0.27, determine the value of P(B)P(B),
Stolb23 [73]

Answer:

0.9

Step-by-step explanation:

Since A and B are independent  hence;

P(A∩B) = P(A)P(B)

Given the following

P(A∩B) = 0.27

P(A) = 0.3

Required

P(B)

Substitute into the formula;

P(B) = P(A∩B)/P(A)

P(B) = 0.27/0.3

P(B) = 0.9

Hence the value of P(B) is 0.9

6 0
2 years ago
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