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yKpoI14uk [10]
3 years ago
12

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the l

ikelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. Number of Days Absent Probability 0 0.60 1 0.20 2 0.12 3 0.04 4 0.04 5 0.00 What is the standard deviation of the number of days absent?
Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

Step-by-step explanation:

The data:

\begin{matrix}i= & 1 & 2 & 3 & 4 & 5 & 6\\X= & 0 & 1 & 2 & 3 & 4 & 5\\P= & 0.6 & 0.2 & 0.12 & 0.4 & 0.4 & 0\end{matrix}

whereby i, X, P correspondingly represent the index number, the number of days absent and the corresponding probability.

Firstly we calculate the expected number of days absent using the following formula:

E(X)=\sum_{i=1}^{6}X_i P_i = 0.72

Subsequently, we calculate the standard deviation using the following formula:

\\\sigma =\sqrt{\sum_{i=1}^{6}P_i\times[X_i-E(X)]^2}=1.0778

For the detailed calculation, please see the attached Excel file.

Download xlsx
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Lara is making wreaths to sell at 4 craft shows. For each wreath, she uses the same number of blue flowers. She has 7 dozen blue
Whitepunk [10]

The greatest number of blue flowers she can use for each show is 21.

Since Lara is making wreaths to sell at 4 craft shows, and for each wreath, she uses the same number of blue flowers, and she has 7 dozen blue flowers, to determine the greatest number of blue flowers she can use for each show you must perform the following calculation:

  • (7 x 12) / 4 = X
  • 84/4 = X
  • 21 = X

Therefore, the greatest number of blue flowers she can use for each show is 21.

Learn more about maths in brainly.com/question/25908442

3 0
2 years ago
Can you explain how to solve this problem ​
iVinArrow [24]

Answer:

Step 1:

Start by setting it up with the divisor 10 on the left side and the dividend 179 on the right side like this:

             

 1 0 ⟌ 1 7 9

Step 2:

The divisor (10) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 0 ⟌ 1 7 9

Step 3:

Multiply the divisor by the result in the previous step (10 x 0 = 0) and write that answer below the dividend.

       0    

 1 0 ⟌ 1 7 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (7) like this:

       0    

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 6:

The divisor (10) goes into the bottom number (17), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

Step 7:

Multiply the divisor by the result in the previous step (10 x 1 = 10) and write that answer at the bottom:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

       1 0  

Step 8:

Subtract the result in the previous step from the number written above it. (17 - 10 = 7) and write the answer at the bottom.

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 1  

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 10:

The divisor (10) goes into the bottom number (79), 7 time(s). Therefore put 7 on top:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

Step 11:

Multiply the divisor by the result in the previous step (10 x 7 = 70) and write the answer at the bottom:

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

         7 0

Step 12:

Subtract the result in the previous step from the number written above it. (79 - 70 = 9) and write the answer at the bottom.

       0 1 7

 1 0 ⟌ 1 7 9

     - 0    

       1 7  

     - 1 0  

         7 9

     -   7 0

           9

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 179 divided by 10 calculated using Long Division is:

17

9 Remainder

Step-by-step explanation:

4 0
3 years ago
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(0.1296)^3/4 of law of indices plz step by step​
Serjik [45]

Answer:

\boxed {\frac{27}{125}}

Step-by-step explanation:

Solve the following expression:

(0.1296)^{\frac{3}{4}}

-Calculate 0.1296 to the power of \frac{3}{4}:

(0.1296)^{\frac{3}{4}}

\boxed {\frac{27}{125}}

Therefore, the final answer is \frac{27}{125}.

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3 years ago
Oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?
Hunter-Best [27]

Answer:

8.25 feet

Step-by-step explanation:

3 2/3 times 2 1/4 equals 8.25

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3 years ago
What is the equation of the line passing through (5,6) with slope m=6?
Veronika [31]

Answer:

this is a required equation.

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