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3 years ago

Solve the inequality: |6w+2|-6>8

Mathematics

1 answer:

Deffense [45]3 years ago

8 0

Answer:

<h2>PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE </h2>

Step-by-step explanation:

The solution is given

$|6x + 2| - 6 > 8$

$|6x + 2| > 8 + 6$

$|6x + 2| > 14$

Now wit will be swprated into two parts

First part

$6x + 2 > 14$

$6x > 14 - 2$

$x > 12 \div 6$

$x > 8$

The second part is

$6x + 2 > - 14$

$6x > - 14 - 2$

$x > - 16 \div 6$

This question has two answers

6
-16/6

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An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

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3 years ago

Is -2x-6=2x+6 no soulution

Olegator [25]

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−6=2x+6

Step 1: Subtract 2x from both sides.

−2x−6−2x=2x+6−2x

−4x−6=6

Step 2: Add 6 to both sides.

−4x−6+6=6+6

−4x=12

Step 3: Divide both sides by -4.

−4x/−4 = 12/-4

x=−3

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3 years ago

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