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sammy [17]
3 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]3 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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Simplify 9y+2y-5y please answer
Brums [2.3K]

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

=y(9+2-5)

Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0
3 years ago
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How can you represent a proportional relationship using an equation?
Pavlova-9 [17]

Answer:

The equation for the proportional relationship is y = 2.8x.

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

6 0
3 years ago
Stephen & Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a
horsena [70]

Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

Let the common factor between them be 'x'.

So we can say that;

2x+3x=2950\\\\5x = 2950

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{2950}{5}\\\\x = 590

So we can say that;

Stephen share would be = 2x =2\times 590 = \£1180

Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

3y+5y+2y=1180\\\\10y=1180

Dividing both side by 10 we get;

\frac{10y}{10}=\frac{1180}{10}\\\\y=118

So Stephen's wife share = 5y = 5\times 118= \£590

And Stephen's son share = 2y=2\times118 =\£236

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = 590-236 = \£354

Hence Stephen's wife got £354 more than his son.

3 0
3 years ago
Divide using long division (4x^2-2x+7) divided by (x-1)
Julli [10]
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PLS ANSWER ASAP IT’S DUE IN 10 MIN
grigory [225]

Answer:

232 in squared

Step-by-step explanation:

Find the area of one face and multiply it by 2

7 x 4 x 2=56

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7 x 8 x 2=112

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3 years ago
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