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faust18 [17]
2 years ago
12

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 7, -21, 63, ...7,−21,63,....

Mathematics
2 answers:
lesya692 [45]2 years ago
6 0

Answer:

a_n= 7(-3) n-1

Step-by-step explanation:

ArbitrLikvidat [17]2 years ago
5 0

Answer:

a_n= -3n

Step-by-step explanation:

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There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s
harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

     Original Mean = $70,000

       \frac{\sum X}{n} = $70,000  ⇒ \sum X = 70,000 * 10 = $700,000

   New \sum X after change = $700,000 - $100,000 + $1,000,000 = $1600000

  Therefore, New mean = \frac{1600000}{10} = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = 20000^{2} i.e.  20000^{2} = \frac{\sum x^{2} - n*xbar }{n -1}

    Original \sum x^{2} = (20000^{2} * (10-1)) + (10 * 70,000) = $3,600,700,000

    New \sum x^{2} = $3,600,700,000 - 100,000^{2} + 1,000,000^{2} = 9.936007 * 10^{11}  

    New Variance = \frac{new\sum x^{2} - n*new xbar }{n -1} = \frac{9.936007 *10^{11}  - 10*160000 }{10 -1} = 1.103999 * 10^{11}    Therefore, standard deviation after change = \sqrt{1.103999 * 10^{11} } = $332264.804 .

7 0
3 years ago
A chef plans to mix 100% vinegar with Italian Dressing. The Italian dressing contains 8% vinegar. The chef wants to make 60 mill
GenaCL600 [577]

Answer:

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

v  + .05(150-v) = .24(150)

v + 7.5 - .05v = 36

.95v = 28.5

v = 28.5/.95

v = 30 ml of vinegar

dressing = 150-30 = 120 m

5 0
2 years ago
3. Find the scale factor for the drawing. Im=100cm​
kap26 [50]

Answer:

Dude where is the picture

Step-by-step explanation:

SPAMMING TILL ON LEADERBOARD

3 0
3 years ago
An arithmetic sequence with a thrid term of 8 and constant difference of 5
olga nikolaevna [1]
\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=5\\
a_3=8\\
n=3
\end{cases}
\\\\\\
a_3=a_1+(3-1)5\implies 8=a_1+(2)5\implies 8=a_1+10
\\\\\\
\boxed{-2=a_1}
\\\\\\
a_n=-2+(n-1)5
8 0
3 years ago
What is the definition of a polynomial?
Nady [450]

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

6 0
3 years ago
Read 2 more answers
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