Which of the following angles can be trisected using only a compass and straightedge?

Mathematics

2 answers:

velikii [3]2 years ago

7 0

Answer:

The correct option is (A) 90°

Step-by-step explanation:

The angles can be trisected which constructive angle θ, an angle of measure 3θ can be trivially trisected.

So, the angle in option (A) is written as 3θ.

3θ=3(30°)

but rest options can't write as 3θ.

Hence, the correct option is (A) 90°

Butoxors [25]2 years ago

6 0

I believe it's A......

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Answer:

$n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79$

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Step-by-step explanation:

1) Notation and definitions

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$\hat p=\frac{40}{100}=0.4$ estimated proportion of the selected labourers opt for a new incentive scheme.

$p$ true population proportion of the selected labourers opt for a new incentive scheme.

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

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

2) Solution tot he problem

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: