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melamori03 [73]
3 years ago
8

Hey can you please me asap!

Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

It's D

Step-by-step explanation:


lord [1]3 years ago
3 0

<u>Answer:</u>

The correct answer option is b. Perimeter = 19.2 units, Area = 22 units^2.

<u>Step-by-step explanation:</u>

We are given a pentagon ABDEC and we are to find its perimeter.

From the given figure, we can clearly see that the pentagon can be divided into two shapes, a square and a triangle. One side of each of these shapes will be excluded from the perimeter.

Distance of AB = \sqrt{(4-1)^2+(6-4)^2} = \sqrt{13} =3.6

The length of AB and AC are same and the BD, DE and CE are same (4 units).

Perimeter of pentagon ABDEC = 4 + 4 + 4 + 3.6 + 3.6 = 19.2 units

Area = (area of ΔABC) + (area of square BDEC)

= (\frac{1}{2} *4*3)+(4*4)

= 22 units^2

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Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law tha
irinina [24]

Answer:

n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

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".  

The population proportion have the following distribution  

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

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

If solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)  

The margin of error desired for this case is ME= \pm 0.02 equivalent to 2% points

For this case we need to assume a confidence level, let's assume 95%. And since we don't have prior estimation for the population proportion of interest the best value to do an approximation is \hat p =0.5

In order to find the critical value we need to take in count that we are finding the margin of error 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}=\pm 1.96  

Now we have all the values needed and if we replace into equation (b) we got:

n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

5 0
3 years ago
Find the value of: (p+q)^0+1^p+q
MrMuchimi

Answer: 2+q

Step-by-step explanation:

6 0
3 years ago
Can you help me with my work
Pachacha [2.7K]
h(0)=3

The diver begins 3 meters above the water

----------------------------

\begin{gathered} h(1)=8 \\ 8>6.75>3 \end{gathered}

The diver reaches a maximum height of 8ft

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3 0
1 year ago
A decorator adds vases to a mantle to decorate. She wants to use 2 matching green vases, 3 matching blue vases, and 4 matching w
hjlf
There are 2 green, 3 blue, and 4 white vases.
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The blue vases can be arranged in 3! = 3*21 = 6 ways.
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The total number of arrangements is
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Answer: 288

3 0
3 years ago
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the kline family went on vacation last year and paid $199 a night for the hotel room. This year, the price has increased by 5% .
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Answer: $208.95

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8 0
3 years ago
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