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Answer: A
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p = x/n
Where x = number of success
n = number of samples
For the first treatment,
x = 35
n1 = 50
p1 = 35/50 = 0.7
For the second treatment,
x = 16
n2 = 40
p2 = 16/40 = 0.4
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.005 = 0.995
The z score corresponding to the area on the z table is 2.576. Thus, the z score for 99% confidence level is 2.576
Margin of error = 2.576 × √[0.7(1 - 0.7)/50 + 0.4(1 - 0.4)/40]
= 2.576 × 0.10099504938
= 0.26
Confidence interval = 0.7 - 0.4 ± 0.26
= 0.3 ± 0.26
Option A is correct
From home to the video store to the grocery store to the fast snacks and back to home would be B. 18
A system is linearly dependent, when multiplying one of the equations by a scalar, you get the other equation.
We then have the following system of equations:
Let's rewrite the system of equations.
To do this, let's multiply equation 1 by scalar -2:
We observe that we obtain equation 2 of the system.
Therefore, the system is linearly dependent.
Answer:
the following system is dependent:
x - y = 2 and -2x + 2y = -4
The easiest way is a successive division by 4:
1st division: 2032/4 = 508 and 0 (0 is the 1st Remaining)
2nd division 508/4 = 127 and 0 (0 is the 2nd Remaining)
3rd division 127/4 = 31 and 3 (3 is the 3rd Remaining)
4th division 31/4 = 7 and 3 (3, is the 4th Remaining)
5th division 7/4 = 1 and 3 (3 is the 5th Remaining)
Now you write the last quotient (the 5th) , that is 1 and add to it all remaining starting from the 5th , backward to the 1st remaining,
133300
