Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
Correct Answer:
C option: 6 feetSolution:Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.
Let the depth of pool is x feet. So we can write:
Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span>

<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
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
72 percent as a fraction is 72/100 or you could also use 18/25
Answer:
-64
Step-by-step explanation:
Given expression

Perform all multiplications and divisions:

Now subtract results in brackets:

Now, divide:
