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goblinko [34]
3 years ago
7

An item on sale costs 65% of the original price. The original price was $83.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer: 53.95

Step-by-step explanation:

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We guess, based on historical data, that 30% of graduating high-school seniors in a large city will have completed a first-year
Annette [7]

Answer:

n=\frac{0.3(1-0.3)}{(\frac{0.025}{1.96})^2}=1290.78  

And rounded up we have that n=1291

Step-by-step explanation:

1) 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{p(1-p)}{n}})

2) Solution to the 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:

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

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)  

And on this case we have that ME =\pm 0.025 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

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

And replacing into equation (b) the values from part a we got:

n=\frac{0.3(1-0.3)}{(\frac{0.025}{1.96})^2}=1290.78  

And rounded up we have that n=1291

4 0
3 years ago
Points A, B, and C are on a circle. the measure of arc AB is 165. what is the measure of arc ACB?
Snezhnost [94]

Answer:

195 degrees

Step-by-step explanation:

Once again, since the total degree measure of a circle is 360 degrees, if one arc of the circumference is 165 degrees then the rest of the circle is 360-165=195 degrees. Hope this helps!

4 0
3 years ago
A bus traveling from Philadelphia to Boston travels at an average speed of 55 miles per hour. The bus stops for 1 hour halfway b
Dimas [21]
55t+1=310
hope this helps you
3 0
3 years ago
Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probabil
stiv31 [10]

You get a pie chart to do percentages just so you dont cheat you still can do work y'know

7 0
3 years ago
For f(x)=4x+11, what is the value of f(15)?
OLEGan [10]
71 is the answer

4 x 15 +11= 71
7 0
3 years ago
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