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sammy [17]
2 years ago
9

A company has 25 employees. One day, 8 letters that did not have names on the envelopes arrived for 8 different employees. The m

ail sorter placed each letter randomly in a different employee's mailbox.
Mathematics
1 answer:
Allisa [31]2 years ago
8 0
1. The missing question here is : "what is the probability that the mail sorter placed each letter correctly"?

2. Name the letters L1, L2, ....L8   (Letter 1, Letter 2.... Letter 8)

3. The first letter has a probability of 1/25 to be placed in the correct mailbox.

Each of the remaining 7 letters have 1/25 probability, and these probabilities are related.

4. So the probability that each letter goes to the proper mailbox is \frac{1}{25}*  \frac{1}{25}*  \frac{1}{25}*  \frac{1}{25}*  \frac{1}{25}*  \frac{1}{25}*  \frac{1}{25}*  \frac{1}{25}= \frac{1}{ 25^{8}}
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The perimeter of a square is 12cm what is its length of its size?
liraira [26]
A square has 4 sides.

If the perimeter around the square is 12cm, then you do 12 ÷ 4, which is 3.

Each side is 3cm long. 
5 0
3 years ago
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Jose has scored 562 points on his math tests so far this semester he must score atleast 650 points write and solve an inequality
solniwko [45]
562 + X >= 650
subtract 562 from both sides
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5 0
2 years ago
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When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a
Romashka [77]

Answer:

It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

Step-by-step explanation:

Given:

Let the time taken for push-ups be 'x'.

Let the time taken for sit-ups be 'y'.

Now Given:

17 push-ups and 6 sit-ups, it takes a total of 35 seconds.

So we can say that;

17x+6y=35 \ \ \ \ equation \ 1

Also Given:

41 seconds to do 20 push-ups and 7 sit-ups.

so we can say that;

20x+7y=41 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 7 we get;

7(17x+6y)=35\times7\\\\119x+42y= 245 \ \ \ \ equation \ 3

Now Multiplying equation 2 by 6 we get;

6(20x+7y)=41\times6\\\\120x+42y = 246 \ \ \ \ equation\ 4

Now Subtracting equation 3 from equation 4 we get;

120x+42y-(119x+42y)=246-245\\\\120x+42y-119x-42y=1\\\\x=1\ sec

Now substituting the value of x in equation 1 we get;

17x+6y=35\\\\17\times1+6y=35\\\\17+6y=35\\\\6y=35-17\\\\6y= 18\\\\y=\frac{18}6 = 3\ seconds

Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

7 0
2 years ago
How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1
kirill [66]

Answer:

The simplification for the expression is given as =( 7 + 2(a-3))/(a-3)

Step-by-step explanation:

To simplify the expression we will first convert the words to values in numbers and alphabets.

StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction

= 5/(a-3) -4/2 + 2/(a-3)

Having done that, let's move on and simplify the expression.

5/(a-3) -4/2 + 2/(a-3)

= 5/(a-3) -2+ 2/(a-3)

= 5/(a-3) + 2/(a-3) -2

= 7/(a-3) -2

=( 7 + 2(a-3))/(a-3)

7 0
3 years ago
4. Let f(x) = 2x +1 and g(x) = x². Find (gºf)(a).
PolarNik [594]

Answer:

Step-by-step explanation:

hello :

f(x) = 2x +1 and g(x) = x².

(gºf)(a)= g(f(a)) = g(2a+1) = (2a+1)² = 4a²+4a+1

3 0
3 years ago
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