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Sonbull [250]
3 years ago
9

Which Of the following represnt the range of the function y=-1/2(x+10)^2+14?

Mathematics
2 answers:
timofeeve [1]3 years ago
6 0

Answer: the second one

Step-by-step explanation:

cuz i say so

Nonamiya [84]3 years ago
4 0

Answer:

4). But the more correct answer is; y is less than or equal to 14.

Step-by-step explanation:

Graphing this function shows a downward facing parabola with the vertex at (-10,14).  The domain must be less than or equal to 14 because it's all values including and below the vertex since there is negative a value (-1/2).

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In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system
Contact [7]

Answer:

n=206

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

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

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 0.09, we can use as prior estimate of p 0.5, since we don't have any other info provided, 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{0.5(1-0.5)}{(\frac{0.09}{2.58})^2}=205.44  

And rounded up we have that n=206

3 0
3 years ago
What time is it if half of what has already passed remains until the end of today?
lukranit [14]

Answer:

<h2>4 p.m.</h2>

Step-by-step explanation:

We know that a day contains 24 hours in total.

The time already passed will be represented by x.

The remaining time would be \frac{x}{2}, becasye half of what has already passed remains until the end of the day.

Basically, the sum of these two expression gives 24 hours in total.

x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16

Therefore, the actual time is 4 p.m.

7 0
3 years ago
Borrowed $250
Fittoniya [83]

Answer:

Total interest paid:

$83.73

Total payments:

$333.73

8 0
3 years ago
Larissa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assi
Llana [10]

The slope of KH is 1

The slope of GJ is -1

The product of the slopes of the diagonals is -1

Therefore, KH is perpendicular to GJ

4 0
3 years ago
Pls solve...I will mark as BRAINLIST........​
lesantik [10]

Answer:

Step-by-step explanation:

3 0
2 years ago
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