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LUCKY_DIMON [66]
3 years ago
14

Find the indicated sum for each sequence. S9 of –9, 36, –144, 576, ...

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

This is a geometric sequence with a common ratio of -4:

-9*-4=36

36*-4=-144

-144*-4=576

Thus, the 9th term would be equal to:

(-4)^5*576 which is -589824

The exponent 5 comes from the fact that 4 terms have already been displayed and we need 9-4 more terms to get to the 9th term. Since we are multiplying by -4 only, the 5 remains an exponent

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Dual-energy X-ray absorptiometry (DXA) is a technique for measuring bone health. One of the most common measures is total body b
kramer

Answer:

(a)

\bar x = 0.0075

s = 0.0049

(b)

B. The sample is too small to make judgments about skewness or symmetry.

Step-by-step explanation:

Given:

n = 8

\begin{array}{ccccccccc}{} & {S} & {u} & {b} &{j} & {e} & {c} & {t} & {s} &{Operator} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {1} & 1.326 & 1.337 & 1.079 & 1.229 & 0.936 & 1.009 & 1.179 & 1.289 & 2 & 1.323 & 1.322 & 1.073 & 1.233 & 0.934 & 1.019 & 1.184 & 1.304 \ \end{array}

Solving (a):

First, calculate the difference between the recorded TBBMC for both operators:

\begin{array}{ccccccccc}{} & {S} & {u} & {b} &{j} & {e} & {c} & {t} & {s} &{Operator} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {1} & 1.326 & 1.337 & 1.079 & 1.229 & 0.936 & 1.009 & 1.179 & 1.289 & 2 & 1.323 & 1.322 & 1.073 & 1.233 & 0.934 & 1.019 & 1.184 & 1.304 &{|1 - 2|} &0.003 & 0.015 & 0.006 & 0.004 & 0.002 & 0.010 & 0.005 & 0.015 \ \end{array}

The last row which represents the difference between 1 and 2 is calculated using absolute values. So, no negative entry is recorded.

The mean is then calculated as:

\bar x = \frac{\sum x}{n}

\bar x = \frac{0.003 + 0.015 + 0.006 + 0.004 + 0.002 + 0.010 + 0.005 + 0.015}{8}

\bar x = \frac{0.06}{8}

\bar x = 0.0075

Next, calculate the standard deviation (s).

This is calculated using:

s = \sqrt{\frac{\sum (x - \bar x)^2}{n}}

So, we have

s = \sqrt\frac{(0.003 - 0.0075)^2 + (0.015 - 0.0075)^2+ (0.006- 0.0075)^2+ ....... + (0.005- 0.0075)^2+ (0.015- 0.0075)^2 }{8}s = \sqrt\frac{0.00019}{8}

s = \sqrt{0.00002375

s = 0.0049

Solving (b):

Of the given options (A - E), option B is correct because the sample is actually too small

6 0
2 years ago
The value of a new car decreases by 10% in the first year. How much will a car be worth after one year if it’s initial value was
yan [13]

Answer:

$36000

Step-by-step explanation:

$40 000(0.10) = $4000

$40000 - $4000 = $36000

5 0
2 years ago
Check all the statements that are true: A. If a relation is symmetric, it cannot be anti-symmetric. B. The equality relation on
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Answer:

See explaination

Step-by-step explanation:

B. The equality relation on the real numbers is an equivalence relation.

This statement is true

C. If RR is a reflexive relation on a set S, then any two RR- related elements of S must also be R2R2 related.

This statement is true

F. The less than or equal relation on the real numbers fails to be an equivalence relation because it is reflexive and transitive but not symmetric

This statement is true

H. If RR is an equivalence relation, then R2

This statement is true

4 0
2 years ago
Plz help<br> and explain
vovikov84 [41]
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
=(x+10)^2-x^2    [recall (a+b)^2=a^2+2ab+b^2
=x^2+20x+100-x^2
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3 years ago
Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?
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490 divided by 35 equals 14. It would take Jack 14 minutes to write a 490 word essay.
8 0
3 years ago
Read 2 more answers
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