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2 years ago

1/3 x 8 in simplest form

1 answer:

7 0

In mathematics, every integer is a rational number, hence a whole number 8 can be written as 8/1. 1/3 x 8 = 8/3 in fraction form. 1/3 x 8 = 2.6667 in decimal form.

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PLEASE HELP!!!

Novosadov [1.4K]

$\bf \qquad \qquad \textit{sum of an infinite geometric serie}
\\\\
S_n=\sum\limits_{i=1}^{\infty}\ a_1\cdot r^{i-1}\implies S=\cfrac{a_1}{1-r}\quad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\stackrel{0\ \textless \ |r|\ \textless \ 1}{\textit{common ratio}}
\end{cases}$

$\bf \sum\limits_{n=1}^{\infty}~3\left(\frac{1}{4} \right)^{n-1}~~
\begin{cases}
a_1=3\\
r=\frac{1}{4}
\end{cases}\implies S=\cfrac{3}{1-\frac{1}{4}}\implies S=\cfrac{\quad 3\quad }{\frac{3}{4}}
\\\\\\
S=\cfrac{\underline{3}}{1}\cdot \cfrac{4}{\underline{3}}\implies S=4$

7 0

3 years ago

Read 2 more answers

Suppose you roll n ≥ 1 fair dice. Let X be the random variable for the sum of their values, and let Y be the random variable for

noname [10]

<u>Answer:</u>

X and Y are stochastically dependent RVs .

<u>Step-by-step explanation:</u>

Let ,

X = sum of the values that come up after throwing n (≥ 1) fare dice.

Y = number of times an odd number come up.

Let, n = 3

then, P(X =6) = p (say) clearly 0 < p < 1

and P (Y = 3) = $\frac{1}{8}$

And,

P( X = 6, Y = 3) = 0 ≠ $P(X = 6) \times P(Y= 3)$

Hence, X and Y are stochastically dependent RVs

3 0

3 years ago

Divide £70 in the ratio 4:3

kirill115 [55]

Answer:

Total=4 +3=7

For the 4

4÷7×70=£40

For the 3

3÷7×70=£30

So the division of £70 in ratio 4:3 is £40:£30

7 0

2 years ago

Desk cost $349.50 once delivered invoice reflects $387.22. If tax is 7.5% how much was the shipping charge?

MariettaO [177]

Answer:

Shipping charge was $11.51

Step-by-step explanation:

(1.075)($349.50) = $375.71 (cost of desk, with tax, without shipping)

Subtracting this amount from the total paid, $387.22, we get $11.51 as the shipping charge.

Check: Does $349.50 + $11.51 + $24.47 = $387.22? Yes

7 0

3 years ago

Leonard wants to become a stuntman for

GrogVix [38]

Answer:

It is cheaper to travel by car

Step-by-step explanation:

1200/30=40

This shows you need 40 gallons.

40x4=160

This shows it will cost Leonard $160 for the gas

2000+160=2160

This shows that if he chooses to travel by car he will pay $2160

$2500 is more then $2160 meaning it would be cheaper to travel by car

8 0

3 years ago