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3 years ago

What is the simplified version of this inequality? 2x + 9 ≥ 17

Mathematics

2 answers:

Rashid [163]3 years ago

7 0

Answer:

x≥4

Step-by-step explanation:

move constant to the right

2x≥17-9

Subtract 17-9

then you should have 2x≥8

Divide both sides of the inequality by 2

and you should have your answer of x≥4

Hope this helps!

Arada [10]3 years ago

4 0

Answer:x>4

Step-by-step explanation: subtract 9 from both sides then divide by 2

It's a greater than or equal to sign.

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One day 20% of the children were away from school on a visit to the museum. If there were369 children altogether, —————— childre

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Whenever they are simplified they don't add up to the same fraction

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3 years ago

We draw a random sample of size 36 from a population with standard deviation 3.5. If the sample mean is 27, what is a 95% confid

inessss [21]

Answer:

The 95% confidence interval for the population mean is between 25.86 and 28.14.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{3.5}{\sqrt{36}} = 1.14$

The lower end of the interval is the sample mean subtracted by M. So it is 27 - 1.14 = 25.86

The upper end of the interval is the sample mean added to M. So it is 27 + 1.14 = 28.14

The 95% confidence interval for the population mean is between 25.86 and 28.14.

3 0

3 years ago

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