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Effectus [21]
3 years ago
9

The expression 4 x 4x4, x gives the perimeter of a square with a side length of x xx units. What is the perimeter of a square wi

th a side length of 5 7 7 5 ? start fraction, 5, divided by, 7, end fraction units?
Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Answer:

P = 20/7  or 2 6/7

Step-by-step explanation:

We want to find the perimeter of a square

P = 4s  where s is the side length

s = 5/7

P = 4* 5/7

P = 20/7

We can leave it as an improper fraction or change it to decimal form

7 goes into 20  two times 2*7 = 14  20-14 =6

The mixed number is 2 6/7

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Assuming that the population is normally​ distributed, construct a 9090​% confidence interval for the population mean for each o
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Given:

Set A: 1 4 4 4 5 5 5 8

Mean: 4.5

Standard dev: 1.9

 

Set B:

Mean: 4.5

Standard dev: 2.45

 

% =  90 

Set A:

Standard Error, SE = s/ √n =    1.9/√8 = 0.67  

Degrees of freedom = n - 1 =   8 -1 =  7   

t- score =  1.89457861

<span> <span><span> <span>   </span> </span> </span></span>

Width of the confidence interval = t * SE =     1.89457861* 0.67 = 1.272685913

Lower Limit of the confidence interval = x-bar - width =      4.5 - 1.272685913 = 3.23

Upper Limit of the confidence interval = x-bar + width =      4.5 + 1.272685913 = 5.77

The 90% confidence interval is [3.23, 5.77]

 

Set B:

Standard Error, SE = s/ √n =    2.45/√8 = 0.87  

Degrees of freedom = n - 1 =   8 -1 = 7   

t- Score =  1.89457861

<span> <span><span> <span>   </span> </span> </span></span>

Width of the confidence interval = t * SE =     1.89457861* 0.87 = 1.641094994

Lower Limit of the confidence interval = x-bar - width =      4.5 - 1.641094994 = 2.86

Upper Limit of the confidence interval = x-bar + width =      4.5 + 1.641094994 = 6.14

The 90% confidence interval is [2.86, 6.14]

 

<span>We can obviously see that sample B has more variation in the scores than sample A. The fact that the standard deviation is 2.45 for B and 1.9 for A). Therefore, they yield dissimilar confidence intervals even though they have the same mean and range.</span>

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