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2 years ago

Select the correct values.

Mathematics

2 answers:

Dovator [93]2 years ago

6 0

The median is 16.5 because when you see that box it means that it’s divided into the lower quartile and upper quartile so the middle part is the median
The lower quartile starts at 15.5 because it’s the box closer to the beginning of the number line

Airida [17]2 years ago

4 0

Answer:

Median - 16.5

Lower quartile - 15.5

hope this helps!

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How do you solve this equation: -2m+3=|15+m|

Elden [556K]

Any number inside the modulus sign becomes positive. This means $|15+m|=|-(15+m)|=|-15-m|$ and so we have,

$-2m+3=|15+m| \Rightarrow \left \Big\{ {{-2m+3=15+m} \atop{-2m+3=-15-m}} \right$

Solving these gives us

$-2m+3=15+m \Rightarrow m=-4$

$-2m+3=-15-m \Rightarrow = m=18$

However if we check the second solution in the original equation we obtain $-2(18)+3=|15+18| \Rightarrow -33=33$ . This is false and so $m=18$ can't be a solution.

Therefore the only solution is $m=-4$ .

(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)

8 0

3 years ago

Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500

Alborosie

Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 500, \pi = \frac{421}{500} = 0.842$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 - 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.81$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874$

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

6 0

4 years ago

What is the square root of -1?

mojhsa [17]

Answer:

Step-by-step explanatidk

ion:

4 0

3 years ago

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What’s Equivalent to 1/2 that has the denominator of 4

max2010maxim [7]

Answer:

2/4. I.e multiplying both denominator and numerator by 2

Step-by-step explanation:

7 0

3 years ago

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Y= x +2<br> x^2 +y^2=10<br><br> solve using any method

Jobisdone [24]

Hi there!

»»————-　★　————-««

I believe your answer is:

(-3, -1) and (1, 3)

»»————-　★　————-««

Here’s why:

I have graphed the two equations given on a graphing program.
When graphed, they pass at points (-3, -1) and (1,3). Therefore, they are the solutions to the system.

⸻⸻⸻⸻

See the graph attached.

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»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

7 0

3 years ago

Read 2 more answers