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SpyIntel [72]
3 years ago
9

Which set of line segments with the given lengths can be formed into a right triangle?

Mathematics
2 answers:
WINSTONCH [101]3 years ago
5 0
169 and 13 squared equals 168
Bond [772]3 years ago
4 0
5,12,13 because a squared + b squared = c squared. 25 + 144 = 169 and 13 squared equals 168
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Many individuals over the age of 40 develop intolerance for milk and milk-based products. A dairy has developed a line of lactos
Alexus [3.1K]

Answer:

a) To show that we can use the 1 proportion z-interval, we know that 250 ( size sample) is big enough to approximate the binomial distribution ( tolerance-intolerance) to a normal distribution.

b) See step by step explanation

CI 90 %  =  (  0,296 ; 0,392)

c) We can support that with 90 % of confidence we will find the random variable between this interval ( 0,296 ; 0,392)

d) the CI 95 % will be wider

Step-by-step explanation:

Sample Information:

Sample size n  =  250

number of people with milk intolerance  x = 86

p₁  =  86 / 250    p₁ = 0.344    and   q₁ =  1  - p₁   q₁ = 0,656

To calculate 90 % of Confidence Interval   α = 10%  α/2 = 5 %  

α/2 = 0,05     z(c) from z-table is:  z(c) =  1.6

Then:

CI 90 %  =  (  p₁  ±  z(c) * SE )

SE =  √ (p₁*q₁)/n   =  √ 0,225664/250

SE = 0,03

CI 90 %  =  (  0,344  ±  1,6* 0,03 )

CI 90 %  =  (  0,344 - 0,048 ;  0,344 + 0,048)

b) CI 90 %  =  (  0,296 ; 0,392)

a) To show that we can use the 1 proportion z-interval, we know that 250 ( size sample) is big enough to approximate the binomial distribution ( tolerance-intolerance) to a normal distribution.

c) We can support that with 90 % of confidence we will find the random variable between  this interval (  0,296 ; 0,392) .

d) CI 95 %      then significance level α = 5 %   α/2 = 2.5 %  

α/2  =  0,025      z(c) = 1.96   from z-table

SE = 0,03

And  as 1.96 > 1.6    the CI 95 % will be wider

CI 95% =  ( 0,344 ±  1.96*0,03 )

CI 95% =  (  0,344 ± 0,0588 )

CI 95% =  ( 0,2852 ; 0,4028 )

6 0
2 years ago
Mr Malloy wants to make sure amo and max get the best possible grade after five tests and can either give a grade based on the m
Mamont248 [21]

Answer:

• Median for Amo

• Mean for Max

Step-by-step explanation:

Amo's mean score:

= (97 + 92 + 89 + 55 + 90)/ 5

= 84.60

= 85

Max's mean score:

= (68 + 97 + 65 + 92 + 65) / 5

= 77

Amo's median:

First arrange the numbers in ascending order:

55, 89, 90, 92, 97

Median is middle which is 90.

Max's median:

65, 65, 68, 92, 97

Median is 68

Mr Javier should use Median for Amo and Mean for Max.

8 0
2 years ago
A mysterious flying superhero known as Blue Sky protects the good citizens of Allenville. Unknown to these citizens, Blue Sky is
zalisa [80]

Answer:

you would have to solve for the x and y

Step-by-step explanation:

which means solve for the x then y

7 0
2 years ago
Anyone know what 4x + 2y - 6z -x -3y + 2z ?
____ [38]

4x+2y-6z-x-3y+2z= 3x-y-4z

For more help use math/way/./com

6 0
3 years ago
Read 2 more answers
What purpose(s) of mythology does this myth illustrate?
Snezhnost [94]
What myth? ask the question again and clip a screen shot of the question and select literature or history instead of mathematics
6 0
3 years ago
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