Answer:
A) three-fourths of a number plus two
Step-by-step explanation:
To find out what the answer is, we first need to translate the sentence into numbers, which will give us:
x+2
We can see that we are multiplying an unknown number, x, by three fourths, so we know that we are taking three-fourths of a number, and we also know that we are then adding two. We are not dividing or subtracting, so we know it can't be B or D. We also know that we are multiplying three-fourths by x, not two so we know that it can't be C. So our only option is A, So the correct answer is:
A) three-fourths of a number plus two
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Answer:
113.1
Step-by-step explanation:
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200,000 because the numbers in the middle are low
Answer: 323
Step-by-step explanation:
The formula to calculate the sample size for proportion is given by :_
![n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2)
Given : Significance level : ![\alpha: 1-0.95=0.095](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.95%3D0.095)
Critical value : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Margin of error : ![E=0.05](https://tex.z-dn.net/?f=E%3D0.05)
The proportion of successes : ![p=0.70](https://tex.z-dn.net/?f=p%3D0.70)
Now, the required sample size will be :-
![n=0.70(0.30)(\dfrac{(1.96)}{0.05})^2=322.6944\approx323](https://tex.z-dn.net/?f=n%3D0.70%280.30%29%28%5Cdfrac%7B%281.96%29%7D%7B0.05%7D%29%5E2%3D322.6944%5Capprox323)
Hence, the minimum required sample size = 323
Answer:
12
Step-by-step explanation:
Let's call the width x and the length x + 3. Using the Pythagorean Theorem we can write:
(x + 3)² + x² = 15²
x² + 6x + 9 + x² = 225
2x² + 6x - 216 = 0
2(x² + 3x - 108) = 0
2(x + 12)(x - 9) = 0
x + 12 = 0 or x - 9 = 0
x = -12 or x = 9
x cannot be -12 because length/width can't be negative so x = 9 which means that the length is 9 + 3 = 12.