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rosijanka [135]
3 years ago
5

Which term is any number that can be shown as the quotient of two integers?

Mathematics
1 answer:
inysia [295]3 years ago
8 0
Rational. Example 5/10
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It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to est
kenny6666 [7]

Answer:

n=(\frac{2.58(1.2)}{0.25})^2 =153.36 \approx 154

So the answer for this case would be n=154 rounded up to the nearest integer

Step-by-step explanation:

Assuming the following question: It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to estimate the GPA within 0.25 at the 99% confidence level? The population standard deviation is 1.2. If needed, round your final answer up to the next whole number.

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.005;0;1)", and we got z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(1.2)}{0.25})^2 =153.36 \approx 154

So the answer for this case would be n=154 rounded up to the nearest integer

7 0
3 years ago
A light can shine blue (B), red (), or yellow (Y) Every second the color changes and is recorded. Estimate the probability the n
Naily [24]

Answer:

The probability that the next color will be red is: \dfrac{2}{3}

Step-by-step explanation:

The probability of an event is defined as:

Probability=(Total number of favourable outcomes)/(Total number of outcomes )

Here we have to find the probability that the next colour is red is given by:

<em>The recordings are given as:</em>

B  R  Y  R  R  R  R  Y  R  B  R  R

Number of outcomes that red will come up=8

Total number of outcomes=12

Hence the probability is given by:

Probability=\dfrac{8}{12}=\dfrac{2}{3}


7 0
3 years ago
Solve for r in the diagram below.<br> (x + 12)<br> 100°
shusha [124]

Answer:

x = 34

Step-by-step explanation:

The sum of the three angles is 180 since they make a straight line

x+12 + 100 +x = 180

Combine like terms

2x+112=180

Subtract 112 from each side

2x+112-112= 180-112

2x = 68

Divide by 2

2x/2 =68/2

x = 34

7 0
2 years ago
1) construct 3 equations starting with x= -2​
Kamila [148]
<h3>Hlo sis !!</h3><h3>ur answer is in above attatchment .</h3><h3>Hope this helps u sneha ✌✌</h3>

5 0
2 years ago
Solve the equation x2<br> 18x + 21 = -3x to the nearest tenth.
Bumek [7]

Answer:

1x=-29

2x=-1

Step-by-step explanation:

i hope its useful.

7 0
2 years ago
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