Answer:
Tia should sell 4(9), or 36, apples
Step-by-step explanation:
Find the value of the multiplier, p, that makes 4a + 2a = 54: a turns out to be 9. Then 4(9) + 2(9) = 54 is correct. Tia should sell 4(9), or 36, apples and half as many oranges, or 18. Note that 36 + 18 + 54.
7.43: Let
denote the random variable for height and
for the sample mean. Then if
is the mean of
So the probability that the difference between the sample and population means does not exceed 0.5 inch is
![P(|\overline X-\mu|\le0.5) = P\left(\left|\dfrac{\overline X-\mu}{0.25}\right|\le\dfrac{0.5}{0.25}\right) = P(|Z|\le 2) \approx \boxed{0.95}](https://tex.z-dn.net/?f=P%28%7C%5Coverline%20X-%5Cmu%7C%5Cle0.5%29%20%3D%20P%5Cleft%28%5Cleft%7C%5Cdfrac%7B%5Coverline%20X-%5Cmu%7D%7B0.25%7D%5Cright%7C%5Cle%5Cdfrac%7B0.5%7D%7B0.25%7D%5Cright%29%20%3D%20P%28%7CZ%7C%5Cle%202%29%20%5Capprox%20%5Cboxed%7B0.95%7D)
per the empirical or 68/95/99.7 rule.
7.44: For a sample of size <em>n</em>, the sample standard deviation would be
. We want to find <em>n</em> such that
![P(|\overline X-\mu| < 0.4) = 0.95](https://tex.z-dn.net/?f=P%28%7C%5Coverline%20X-%5Cmu%7C%20%3C%200.4%29%20%3D%200.95)
Comparing to the equation from the previous part, this means we would need
![\dfrac{0.4}{\frac{2.5}{\sqrt{n}}} = 0.16\sqrt n = 2 \implies \sqrt n = 12.5 \implies n = 156.25](https://tex.z-dn.net/?f=%5Cdfrac%7B0.4%7D%7B%5Cfrac%7B2.5%7D%7B%5Csqrt%7Bn%7D%7D%7D%20%3D%200.16%5Csqrt%20n%20%3D%202%20%5Cimplies%20%5Csqrt%20n%20%3D%2012.5%20%5Cimplies%20n%20%3D%20156.25)
so a sample of at least 157 men would be sufficient.
Answer:
Is there an error in the question? it has BC = 27 twice and we don't know much about the other sides. Anyway let's try
Step-by-step explanation:
You are told that to go from WXYZ to ABCD the scale factor is 2/3, which means that you multiply by 2/3. So to go the other way round, from ABCD to WXYZ which is what you want, you divide by 2/3, or multiply by 3/2.
So, to find XY you multiply the right side from ABCD by 3/2. I think BC is the right side?
So XY = 27 × 3/2
XY = 81 / 2 or 40.5 or 40 1/2
<h3>Answer: 3x + x = 67</h3><h3>To solve: 4x = 67</h3><h3> /4. /4</h3><h3>x = 16.75</h3><h3></h3>