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True [87]
2 years ago
11

Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his

addresses, the number of emails in his personal account decreases by 10% and the number of emails in his work account decreases to 722 each month. Question .How can Joe calculate the number of emails he will receive each month in his personal account after changing his address?
Mathematics
1 answer:
Semmy [17]2 years ago
7 0

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = 780 emails

Average work emails received monthly= 760 emails

     

      We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

      After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

let us solve for 10% depreciation.

depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails

The new number of mails

= initial number of mail- depreciation\\ =780-78= 702 emails

Joe will be receiving an average of 702 emails in his personal account monthly

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Given a data set consisting of 33 unique whole number observations, its five-number summary is:
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Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is  

L p=(n+1).p/100

For example, in the data set  [2,4,6,8,10,12,14,16,18]

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that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

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2 years ago
If Patricia drives at two-third of her usual speed, she covers a certain distance in one hour more than the time she takes while
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Set this equal to each other and solve for t.

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8 0
2 years ago
6 questions = 30 points someone please help me
eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = 2\pi rL

Area of the parts that cover the open parts of cylinder = 2\pi r^2

Therefor Total are of the cylinder = 2\pi rL+2\pi r^2

Area of the total cylinder = 2*3.14*6.8*14.2+2*3.14*6.8^2

                                          =896.784

<u>Therefor best estimate will be D) 923 in^2</u>


Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

(AC)^2+(CB)^2=(AB)^2

The distance from A to C = 6

The distance from C to B = 5

(AC)^2=6^2=36

(CB)^2=5^2=25

(AC)^2+(CB)^2=(AB)^2=36+25=61

Therefor (AB)^2=61\\(AB)=\sqrt{61}

<u>Therefor Answer is D) Sqr 61</u>

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

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Therefore Revenue from Store 1 = $8250

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<u>Answer is A) Store 1  has more sales revenue</u>

Answer for Question 4

\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

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Then it has to be \frac{115}{264} =0.4356

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Answer for question 6

The equation of a straight line is of the form y=mx+c

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2

Therefor the equation of the graph is,

y=2x+1

<u>Answer is C</u>

Answer for question 7

\frac{7}{8} =0.875

\frac{6}{9} =0.67

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

\frac{53}{72} =0.73, This falls between the above 2 numbers.

<u>Therefor answer is C</u>


5 0
2 years ago
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