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3 years ago

£245 £140 £525 £174 £195 £163 £140 what is the mode?

1 answer:

5 0

The mode is the number that repeats itself the most in a sequence. In this case, the mode will be £140 since it repeats itslef the most (2 times).

Hope it helped,

BioTeacher101

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Find a1, for the arithmetic series with S14 = - 420 and d = -6.

faust18 [17]

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill$

$\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1$

8 0

3 years ago

20 POINTS!!!! If eight is added to twice a number and the sum is multiplied by five result is the same as if the number is multi

Sauron [17]

<h3>The value of x is equal to -2.</h3>

5(2x + 8) = -8x + 4

Distributive property.

10x + 40 = -8x + 4

Add 8x to both sides.

18x + 40 = 4

Subtract 40 from both sides.

18x = -36

Divide both sides by 18

x = -2

6 0

3 years ago

Which value for x makes the sentence true? 18x = 360

aniked [119]

Answer:

X=20

Step-by-step explanation:

360/18=20

3 0

2 years ago

Read 2 more answers

A bag contains three yellow tickets numbered on to three. The bag also contains four green tickets numbered one to four. What is

Mazyrski [523]

6/7 because there are 7 tickets in total and 3 of them are yellow and 3 of them have even numbers.

6 0

3 years ago

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Approximately how many times bigger was the 1908 siberian asteroid than the diameter of the chelyabinsk asteroid

elena-14-01-66 [18.8K]

1908 Siberian Asteroid is known to be 130 feet/ 18 meters in diameter while on the other hand Chelyabinsk Asteroid is known to be 59 feet/40 meters in diameter. To find how many times Siberian Asteroid is bigger than Chelyabinsk Asteroid we just have to divide Siberian by Chelyabinsk here we get:

10/59=2.2 = 1908 Siberian Asteroid is 2.2 times bigger than Chelyabinsk Asteroid.

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3 years ago