Answer:
Step-by-step explanation:
Question:
Prove the following statement directly from the definitions.
The difference of any two rational numbers is a rational number.
Answer, see attachment for proof.
Answer:
(0.5848 ; 0.6552)
We are confident that about 58% to 66% of sea foods in the country are Mislabelled.
No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.
Step-by-step explanation:
Sample size, n = 51
p = 0.62
1 - p = 1 - 0.62 = 0.38
n = 515
Confidence level = 90% = Zcritical at 90% = 1.645
Confidence interval = (p ± margin of error)
Margin of Error = Zcritical * sqrt[(p(1-p))/n]
Margin of Error = 1.645 * sqrt[(0.62(0.38))/515]
Margin of Error = 1.645 * 0.0214
Margin of Error = 0.035203
Lower boundary = (0.62 - 0.035203) = 0.584797
Upper boundary = (0.62 + 0.035203) = 0.655203
(0.5848 ; 0.6552)
We are confident that about 58% to 66% of sea foods in the country are Mislabelled.
No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.
Answer: The habitat quality score will be normally distributed if at least 50% of the total sites are captured
Step-by-step explanation:
Answer:
The width of the garden is 100 feet.
Step-by-step explanation:
The formula for the perimeter of a rectangle is 2(L+W) where L = length and W = width.
Since we know the perimeter (the fence that surrounds the garden) is 820 feet and the length of the pen is 10 feet longer than 3 times its width, we can set an equation and solve for the width:
L = 10 + 3W
So substitute 10 + 3W for L in the equation:
2[(10 + 3W) + W) = 820
2(10 + 4W) = 820
10 + 4W = 410
4W = 400
W = 100
Therefore, the width of the garden is 100 feet.
Answer:
Step-by-step explanation:
L=4W+8
P=2(L+W)
P=2(5W+8) and P=476
2(5W+8)=476
5W+8=238
5W=230
W=46yds
L=4(46)+8=192yds
So the dimensions are 46X192 yards
