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stepladder [879]
2 years ago
6

What is the Pythagorean Theorem

Mathematics
1 answer:
Vlad [161]2 years ago
4 0

Answer:

see below

Step-by-step explanation:

The Pythagorean theorem is for right triangles.  It uses the two legs and the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

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WARRIOR [948]

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7 0
3 years ago
Factor 6 z^3/3 + 1 z^1/3
balandron [24]

Use Rule of One: x^1 = x

6 × x^3 + 1 × z/3

Simplify 6 × z^3/3 to 2z^3

2z^3 + 1 × z/3

Simplify 1 × z/3 to z/3

<u>= 2z^3 + z/3</u>

7 0
3 years ago
5 less than one fourth of x is y
alexgriva [62]
5 less = 5 minus
one forth of x = 1/4x
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6 0
3 years ago
What is the unit multipliers for weeks and months
mash [69]

Answer:

Count the number of days in the month and divide that number by 7, which is the number of days in one week. For example, if March has 31 days, there would be a total of 4.43 weeks in the month

Step-by-step explanation:

5 0
2 years ago
Assuming that the population is normally​ distributed, construct a 9090​% confidence interval for the population mean for each o
jasenka [17]

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>

6 0
3 years ago
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