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 = ![2\times\sqrt{\frac{p(1-p)}{n}}](https://tex.z-dn.net/?f=2%5Ctimes%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
= ![2\times\sqrt{\frac{0.510(1-0.510)}{1000}}](https://tex.z-dn.net/?f=2%5Ctimes%5Csqrt%7B%5Cfrac%7B0.510%281-0.510%29%7D%7B1000%7D%7D)
= 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
Roots of the equation
are ![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
Step-by-step explanation:
We need to find the roots of ![y=x^2-8x+15](https://tex.z-dn.net/?f=y%3Dx%5E2-8x%2B15)
Let the equation equal to zero
![x^2-8x+15=0](https://tex.z-dn.net/?f=x%5E2-8x%2B15%3D0)
We can find roots by factorization
Solving:
![x^2-8x+15=0](https://tex.z-dn.net/?f=x%5E2-8x%2B15%3D0)
For finding factors break the middle term such that their product equals to the product of first and last term and their sum equals to middle term
So, 8x can be break into -5x and -3x
Sum=-5x+(-3x)= -8x (same as middle term)
Product = -5x * -3x = 15x^2 (same as product of first and last term)
![x^2-5x-3x+15=0](https://tex.z-dn.net/?f=x%5E2-5x-3x%2B15%3D0)
Taking common:
![x(x-5)-3(x-5)=0](https://tex.z-dn.net/?f=x%28x-5%29-3%28x-5%29%3D0)
![(x-3)(x-5)=0](https://tex.z-dn.net/?f=%28x-3%29%28x-5%29%3D0)
![(x-3)=0\,\,and\,\,(x-5)=0](https://tex.z-dn.net/?f=%28x-3%29%3D0%5C%2C%5C%2Cand%5C%2C%5C%2C%28x-5%29%3D0)
![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
So, roots of the equation
are ![x=3\,\,and\,\,x=5](https://tex.z-dn.net/?f=x%3D3%5C%2C%5C%2Cand%5C%2C%5C%2Cx%3D5)
Keywords: Roots of equation
Learn more about roots of equation at:
#learnwithBrainly
Answer:
1500
Step-by-step explanation:
(50/1)÷(1/30) = (50×30)/(1×1) = 1500
Selection C is appropriate.
Probably, the function only usefully describes the height between the time it is thrown (x=0) and the time it lands (x=5).
_____
Conceivably, a function can be written that would describe height before it is thrown and after it hits the ground (as after it bounces, for example). In that case, one might be interested for the domain of "all real numbers" or at least "all real numbers representing the time during which the object was in existence."