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4 years ago

Help i forgot 3(x−4)≥−2x+3

Mathematics

2 answers:

alekssr [168]4 years ago

6 0

Answer:

The answer is x_> 3

Step-by-step explanation:

AVprozaik [17]4 years ago

5 0

Answer:

x≥3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−12≥−2x+3

Step 2: Add 2x to both sides.

3x−12+2x≥−2x+3+2x

5x−12≥3

Step 3: Add 12 to both sides.

5x−12+12≥3+12

5x≥15

Step 4: Divide both sides by 5.

≥

x≥3

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3 years ago

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Step-by-step explanation:

1) Notation and definitions

$X=63$ number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

$n=6138$ random sample taken

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A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

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In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by $\alpha=1-0.98=0.02$ and $\alpha/2 =0.01$ . And the critical value would be given by: