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3 years ago

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A rectangular field will be fenced on all four sides. Fencing for the north and south sides costs $5 per foot and fencing for th

e other two sides costs $12 per foot. What is the maximum area that can be enclosed for $4800?

1 answer:

Vesnalui [34]3 years ago

4 0

The answer is "141.17647058823529411764705882353", hope this helps! Please Mark me the brainliest! ☺

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The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked

Serggg [28]

Answer:

a) The 99% confidence interval would be given by (24.409;24.979)

b) n=464

Step-by-step explanation:

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".

Part a

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:

$df=n-1=47-1=46$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that $t_{\alpha/2}=2.01$

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

$525-2.01\frac{75}{\sqrt{47}}=503.01$

$525+2.01\frac{75}{\sqrt{47}}=546.99$

So on this case the 95% confidence interval would be given by (503.01;546.99)

Part b

The margin of error is given by this formula:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =7 msec, we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{t_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $t_{\alpha/2}=2.01$ from part a, replacing into formula (2) we got:

$n=(\frac{2.01(75)}{7})^2 =463.79 \approx 464$

So the answer for this case would be n=464 rounded up to the nearest integer

8 0

3 years ago

What is 3 times as many as 4

HACTEHA [7]

Answer: 12

Step-by-step explanation:

3 x 4 = 12

8 0

3 years ago

Find the value of x, o is the centroid

Ray Of Light [21]

Answer:

x = 14

Step-by-step explanation:

In the triangle O is the centroid.

Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.

So, from the given diagram we can write

$\frac{3x}{2x - 7} = \frac{2}{1}$

⇒ 3x = 4x - 14

⇒ x = 14 (Answer)

3 0

3 years ago

. mrs. opsahl drove 399 miles on 14 gallons of gas. how many miles per gallon did her car get? 0.27 miles per gallon 28.5 miles

Dennis_Churaev [7]

Answer:

28.5 miles per gallon

Step-by-step explanation:

399 miles / 14 gallons

= 28.5 miles/1 gallon

1 gallon per 28.5 miles

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2 years ago

Solve for x (hint - use the quadratic formula):

geniusboy [140]

Step-by-step explanation:

find the value of sec X/3

5 0

2 years ago

Read 2 more answers