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scoundrel [369]
3 years ago
12

What is the value of x? enter your answer in the box

Mathematics
2 answers:
anastassius [24]3 years ago
5 0

Answer:

x = +/-10°

Step-by-step explanation:

[2(x+10)]°=

[2x + 20] =

[2x] = [-20]

2x/2 = -20/2

x = -10

(3x - 30)°

3x/3 = 30/3

x = 10

podryga [215]3 years ago
5 0

Answer:

The value of x = 50°

Step-by-step explanation:

As,

[2(x+10)]°  &  (3x-30)° both are Vertically opposite angles.

we know,

<em><u> vertically opposite angles are equal .</u></em>

so,

2(x+10) = 3x-30

⇒2x+20 = 3x-30

⇒3x-2x=20+30

∴x=50

∴The value of x = 50°

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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
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Answer:

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So the answer for this case would be n=62 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

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.  

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\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

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The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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Answer:

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Step-by-step explanation:

i hope this works :)

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