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4 years ago

The sum of the interior angle measures for the first 5 regular polygons is shown in the table.

Mathematics

2 answers:

Natalija [7]4 years ago

4 0

Answer:

equation: 180+180(n-3)

answer: n=1,800

Step-by-step explanation:

Equation:

You can see that each time a side is added, 180 is added to the sum of degrees.

But since you start with 3 sides, you need to subtract that from your number that you are going to plug in.

you also start with 180 degrees, so you have to add that to the other 180 that is always added on

(dont know if any of that made sense)

Answer:

plug in n=12 into the equation

180+180(n-3)

180+180(12-3)

180+180(9)

180+1,620

1800

(sorry complicated)

babymother [125]4 years ago

3 0

1)it’s (n-2)•180
2)(12-2)•180=1800

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National data in the 1960's showed that about 44% of the adult population had never smoked cigarettes. In 1995 a national health

Marta_Voda [28]

Answer:

a) $0.52 - 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.487$

$0.52 + 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.553$

The 95% confidence interval would be given by (0.487;0.553)

b) After see the confidence interval we see that the lower limits 0.487>0.44 with 0.44 or 44% the estimated proportion for 1960, we can conclude that we have a significant increase in the adult proportion had never smoked cigarettes.

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.

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".

Solution to the problem

Part a

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:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.52 - 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.487$

$0.52 + 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.553$

The 95% confidence interval would be given by (0.487;0.553)

Part b

After see the confidence interval we see that the lower limits 0.487>0.44 with 0.44 or 44% the estimated proportion for 1960, we can conclude that we have a significant increase in the adult proportion had never smoked cigarettes at 5% of significance.

4 0

4 years ago

The function of f(x)=8√x gives the speed in feet per second (ft/s) of a free falling object after it has fallen x feet (ignoring

Juliette [100K]

Answer:

c. 55.4 ft/s

Step-by-step explanation:

Speed of the object is represented by the function:

$f(x)=8\sqrt{x}$

where x represents the number of feet the object has fallen. We have to find the speed of the object after it has fallen 48 feet. This means we have to find f(x) for x = 48. Substituting x = 48 in above equation we get:

$f(48)=8\sqrt{48}\\\\ =8\sqrt{16 \times 3}\\\\ =8\sqrt{4^{2} \times 3}\\\\ = 8 \times 4 \sqrt{3}\\\\ =32\sqrt{3}\\\\ = 32 \times 1.732\\\\ = 55.4$