Area of trapezoid = Average length of parallel lines x height
3+22=25
25/2= 12.5
12.5x6=75cm^2
8x + 7y = 39
4x - 14y = -68
(multiply each term in second equation by -2)
8x + 7y = 39
-8x + 28y = 136
(add both equations)
35y = 175
(divide both sides by 35)
y = 5
(substitute value of y in one of the equations)
8x + 7(5) = 39
8x + 35 = 39
8x = 4
x = 1/2
(x, y) = (1/2, 5)
Answer:
It would not be reasonable to say that more than half of the people with this disease would improve if they used the new drug
Step-by-step explanation:
Data provided in the question:
Sample size, n = 1000
Number of people improved when they used the drug = 510
Thus,
Probability that Number of people improved when they used the drug
= 510 ÷ 1000
= 0.510
Now,
margin of error, E =
=
= 0.032 = 3.2%
Therefore,
Portion of 0.510 is likely to lie in the 3.2% of the actual value of population
And,
The lower portion can be as small as p - E
= 0.510 - 0.032
= 0.478 i.e 47.8% of the sample
Hence,
It would not be reasonable to say that more than half of the people with this disease would improve if they used the new drug