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liberstina [14]
3 years ago
8

8 is 2/3 of what number?

Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0

Answer:

12

Step-by-step explanation:

8 is 1/3 of 24

so it's 2/3 of 12

weeeeeb [17]3 years ago
5 0

Answer:

12

Step-by-step explanation:

the number = x

2/3 of x =8

2x/3 = 8

2x= 24

x=12

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The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for
slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 %  = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})

x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})

x = 19 \pm 2.692 \times 0.5963

x = 19 \pm 1.6052

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0
3 years ago
How do you write 17.009 in word form
Whitepunk [10]
17.009 in word form is
seventeen and nine thousandths.

Hope this helped! :))
8 0
3 years ago
Read 2 more answers
How much money do you have if you have 3 one-dollar bills, 2 half dollars, 5 quarters, 6 dimes, 2 nickels, and one penny.
Advocard [28]

Answer:

$5.91

Step-by-step explanation:

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7 0
3 years ago
Write the equation of line in slope-intercept form.
Galina-37 [17]

y=3x-7 that's the answer

7 0
3 years ago
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