Answer:
A 256/3
Step-by-step explanation:
1/3 * 4^4 =
1/3 * (4*4*4*4) =
1/3 * 256 = 256/3
Where 1/4 represents Bob and 1/6 represents Ted...
1/4x + 1/6x = 1
Multiply the two so there is no fraction by the GCF of 12.
3x + 2x = 12
Add 3x and 2x.
5x = 12
Divide by 5.
x = 12
Plug this value in.
With that, the answer is 2 hours and 24 minutes with x = 12 meaning 144 minutes.
We can set up a proportion to solve this problem as follows:
height of the model/width of the model= height of the actual/width of the actual
24/18=60/x
Cross multiply,
24x=18*60
24x=1080
x=45 ft.
Therefore the answer is 45 ft.
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