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pishuonlain [190]
3 years ago
14

3 inches equals how many yards?

Mathematics
2 answers:
Stels [109]3 years ago
6 0

Answer:\

3 inches does not even equal a whole yard it equals 0.08 of a yard

MaRussiya [10]3 years ago
3 0

Answer:

Hi there!

Your answer is

3 inches is 1/12th of a yard

Step-by-step explanation:

How many inches are in a yard?

1 yard = 36 inches

Find how many yards 1 inch is equal to by dividing both sides by 36!

1/36th yard = 1 inch

To find what 3 inches is in yards, multiply both sides by 3.

3/36th yard = 3inches

Hope this makes sense! Let me know if you have questions!

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A bank is trying to determine which model of safe to install. The bank manager believes that each model is equally resistant to
alexandr402 [8]

Answer:

So on this case the 95% confidence interval would be given by (-1.152;5.152).

-1.152 < \mu_{safe1}-\mu_{safe2}  

Should we conclude that the average time it takes experts to crack the safes does not differ by model at the 5% significance level?

A) Yes, the 95% confidence interval for ?D contains 0.

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".  

Solution

Let put some notation  

x=value for Safe 1 , y = value for Safe 2

x: 103, 90, 64, 120, 104, 92, 145, 106, 76

y: 101, 94, 58, 112, 103, 90, 140, 110, 74

The first step is calculate the difference d_i=x_i-y_i and we obtain this:

d: 2, -4, 6, 8, 1, 2, 5, -4, 2

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{18}{9}=2

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =4.093

The next step is calculate the degrees of freedom given by:

df=n-1=9-1=8

Now we need to calculate the critical value on the t distribution with 8 degrees of freedom. The value of \alpha=1-0.95=0.05 and \alpha/2=0.025, so we need a quantile that accumulates on each tail of the t distribution 0.025 of the area.

We can use the following excel code to find it:"=T.INV(0.025;8)" or "=T.INV(1-0.025;8)". And we got t_{\alpha/2}=\pm 2.31

The confidence interval for the mean is given by the following formula:  

\bar d \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

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

2-2.31\frac{4.093}{\sqrt{9}}=-1.152  

2+2.31\frac{4.093}{\sqrt{9}}=5.152  

So on this case the 95% confidence interval would be given by (-1.152;5.152).

-1.152 < \mu_{safe1}-\mu_{safe2}  

Should we conclude that the average time it takes experts to crack the safes does not differ by model at the 5% significance level?

A) Yes, the 95% confidence interval for D contains 0.

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Step-by-step explanation:

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780 students stand in rows and columns. each row has an equal number of students and each column has an equal number of students
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Answer:

Step-by-step explanation:

x = number of rows

780=x(x+4)

780=x^{2} +4x

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there are 26 rows and 30 students in each row 26*30=780

8 0
3 years ago
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