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3 years ago

Solve the following: 2 | x + 3 | -5 > -1 I NEED THE STEPS

2 answers:

7 0

Let's solve your inequality step-by-step.
2(|x+3|)−5>−1
Step 1: Add 5 to both sides.
2(|x+3|)−5+5>−1+5
2(|x+3|)>4
Step 2: Divide both sides by 2.
2(|x+3|)2>42
|x+3|>2
Step 3: Solve Absolute Value.
|x+3|>2
We know eitherx+3>2orx+3<−2
x+3>2(Possibility 1)
x+3−3>2−3(Subtract 3 from both sides)
x>−1
x+3<−2(Possibility 2)
x+3−3<−2−3(Subtract 3 from both sides)
x<−5
Answer:
x>−1 or x<−5

-Hope this helps.

Can you mark brainliest?

katrin2010 [14]3 years ago

3 0

Easy 1 add 2 subtracrt 3 multoly 4 divide it is judst like pemdas

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In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the

Rama09 [41]

Answer:

$P(x \le 3) = 0.2352$

Step-by-step explanation:

Given

$p = 0.35$ --- male committing a crime in an episode

$n = 5$ -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

$P(x) = ^nC_x * p^x * (1 - p)^{n-x$

So, the required probability is represented as:

$P(x \ge 3)$

And will be calculated using:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2$

$P(x = 3) = 10 * (0.35)^3 * (0.65)^2$

$P(x = 3) = 0.1811$

$P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}$

$P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1$

$P(x = 4) = 5 * (0.35)^4 * (0.65)$

$P(x = 4) = 0.0488$

$P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}$

$P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0$

$P(x = 5) = 1 * (0.35)^5 * (0.65)^0$

$P(x = 5) = 1 * (0.35)^5 * 1$

$P(x = 5) = 0.0053$

So:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x \le 3) = 0.1811 + 0.0488 + 0.0053$

$P(x \le 3) = 0.2352$

4 0

3 years ago

The average age of 4 children is 15 yrs . if the ages of their parents are added , their average age is 25 .find the age of thei

WITCHER [35]

The age of the father is 57 years old

<h3>Calculating mean of a population</h3>

Total age = Average age x Population

Average of the four children = 15

Population = 4

Total age of the four children = 15 x 4

Total age of the four children = 60 years

If the parents are added:

Population = 6

Average age = 25

Total age = 25 x 6

Total age = 150 years

Total age of the parents = 150 - 60

Total age of the parents = 110 years

The father is 4 years older than his wife

Let the age of the father be x

The age of the wife = x - 4

x + x - 4 = 110

2x = 114

x = 114/2

x = 57

Therefore, the age of the father is 57 years old

Learn more on The mean of numbers here: brainly.com/question/20118982

#SPJ1

6 0

2 years ago

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Answer: Sorry can’t help

Step-by-step explanation:

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Alex_Xolod [135]

Multiply each side of the equation by 4. Then see whether the equation makes sense.

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I need some help, yes this is a repost soz.

Alinara [238K]

Answer:

Whats the question ;-;

Step-by-step explanation:

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