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2 years ago

13

A box contains 12 plastic forks and 6 plastic knives. If two utensils are chosen at random from the box without replacement, wha

t is the probability that they are different?

1 answer:

kipiarov [429]2 years ago

3 0

Well one will be a knife and one will be fork

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Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4

Roman55 [17]

$\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...$

so as you can see the common ratio is 2, and the first term is 1/2,

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}$

4 0

3 years ago

Read 2 more answers

4 - 3x = 8 - 4x Plz answer this question

timurjin [86]

Answer:x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−3x=8−4x

4+−3x=8+−4x

−3x+4=−4x+8

Step 2: Add 4x to both sides.

−3x+4+4x=−4x+8+4x

x+4=8

Step 3: Subtract 4 from both sides.

x+4−4=8−4

x=4

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3 years ago

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Leam with an example

Nata [24]

Answer:

18 because 6 times 2 is twelve and 9 times 2 is 18... only if its direcrly proportional which it is

Step-by-step explanation:

pls mark brainliest it would really help me out

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2 years ago

AC =<br> Round your answer to the nearest hundredth.<br> 5<br> ?<br> 35<br> B

Bingel [31]

Answer:2.87

Step-by-step explanation:sin =opp/hyp

Sin 35=ac/5

Cross multiply

Sin 35 x 5 = ac

0.5736 x 5 =ac

2.868=ac

Ac=2.87

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2 years ago

Find the center of the equation 4x2 + y2 + 8x-5= 0.

evablogger [386]

Answer:

(-1,0)

Step-by-step explanation:

Plug it into desmos graphing calculator exactly how it is.

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3 years ago