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stiks02 [169]
2 years ago
7

Which might be a better way to evaluate 1150 divided by 46: drawing base-ten diagrams or using the partial quotients method ? Ex

plain your reasoning
Mathematics
1 answer:
hammer [34]2 years ago
8 0

Answer:

idk sounds like a good question

Step-by-step explanation:

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Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student
AysviL [449]

Answer:

The mean calculated for this case is \bar X=584

And the 95% confidence interval is given by:

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

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 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 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 mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=584

The sample deviation calculated s=86.776

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

df=n-1=5-1=4

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 tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that t_{\alpha/2}=2.776

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

584-2.776\frac{86.776}{\sqrt{5}}=476.271    

584+2.776\frac{86.776}{\sqrt{5}}=691.729    

So on this case the 95% confidence interval would be given by (476.271;691.729)    

3 0
2 years ago
WILL MARK YOU IF YOU HELP ME !!!!
coldgirl [10]

Answer:

Perpendicular bisector

7 0
3 years ago
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A square orange rug has a blue square in the center. The side length of the blue square is x inches. The width of the orange ban
Ivahew [28]

Answer:

(x+12)(x+12)-x^2

x^2 + 2(12)(x)+12^2-x^

=24x+144

Step-by-step explanation:

3 0
2 years ago
Hiii please help me thank youuuu:)
anastassius [24]
63 I think, you would subtract
5 0
2 years ago
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The Blue devils had won 37.5 games. they had played 24 games altogether. how may games had they won?
lubasha [3.4K]

The Blue Devils are trying to sell us a bridge and a bill of goods.
But we are sharp, and we are not falling for their story.

We are smart enough to spot two glaring weaknesses in their story.

1).  There is no way to win  .5  of a game.

2).  There is no way to win 37 games if you've
only played 24 so far.

4 0
3 years ago
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