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3 years ago

a water spinkler sends water out in a circular pattern how large is the watered area if the watering pattern is 12 ft

Mathematics

1 answer:

cestrela7 [59]3 years ago

5 0

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

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HELP!!!!!!<br>What is the answer of the following in scientific notation:<br><br> 4 816 900 000

lord [1]

It's 48,169 x 10^5
Yeah.

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3 years ago

Read 2 more answers

How do you write 527,519 in expanded from using exponents

Aleksandr-060686 [28]

527,519

= 500,000 + 20,000 + 7,000 + 500 + 10 + 9

= (5) * 100,000 + (2) * 10,000 + (7) * 1,000 + (5) * 100 + (1) * 10 + (9) * 1

= (5) * 10⁵ + (2) * 10⁴ + (7) * 10³ + (5) * 10² + (1) * 10¹ + (9) * 10⁰

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4 years ago

Read 2 more answers

What is 10 - 4 and 2/3?

Ymorist [56]

10 - 4 2/3

First, we convert mixed fraction into improper fraction.

4 2/3 = ((4*3)+2)/3 = 14/3

In subtracting fractions:
1) Both must have the same denominator.
10 is 10/1 and 14/3 have different denominators.

2) Once they have the same denominator, then subtraction may be performed.

10 - 14/3 = 10 * 3/3 - 14/3 = 30/3 - 14/3 = 16/3

3) 16/3 must be simplified.

16/3 = 5 1/3

10 - 4 2/3 = 5 1/3

8 0

3 years ago

A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence

EastWind [94]

Answer:

a) 96% CI: $0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

$p=\frac{114}{200}=0.57$

The standard deviation of the sample proportion is

$\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035$

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

$p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

6 0

4 years ago

In a random sample of 25 people, the mean commute time to work was 33.9 minutes and the standard deviation was 7.2 minutes. Ass

Phoenix [80]

Answer:

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

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".

$\bar X=33.9$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=7.2 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,24)".And we see that $t_{\alpha/2}=1.32$

Now we have everything in order to replace into formula (1):

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

7 0

4 years ago