Is 105 - 42 = 63.
The answer is B. 63
Wouldn’t it just be any number lower than 4.7?
Answer:
x = 3
Step-by-step explanation:
![In\: \triangle PQT,\: \overline{PQ}|| \overline {RS}...(Given)\\\\\implies\frac{PS}{ST}=\frac{QR}{RT}\\(By\: Proportionality\: Theorem) \\ \\\implies\frac{2x+4}{5}=\frac{3x+5}{7}\\\\ \implies \: 7(2x + 4) = 5(3x + 5) \\ \\ \implies \:14x + 28 = 15x + 25 \\ \\ 14x - 15x = 25 - 28 \\ \\ - x = - 3 \\ \\ x = 3](https://tex.z-dn.net/?f=In%5C%3A%20%5Ctriangle%20PQT%2C%5C%3A%20%5Coverline%7BPQ%7D%7C%7C%20%5Coverline%20%7BRS%7D...%28Given%29%5C%5C%5C%5C%5Cimplies%5Cfrac%7BPS%7D%7BST%7D%3D%5Cfrac%7BQR%7D%7BRT%7D%5C%5C%28By%5C%3A%20Proportionality%5C%3A%20Theorem%29%20%5C%5C%20%5C%5C%5Cimplies%5Cfrac%7B2x%2B4%7D%7B5%7D%3D%5Cfrac%7B3x%2B5%7D%7B7%7D%5C%5C%5C%5C%20%5Cimplies%20%5C%3A%207%282x%20%2B%204%29%20%3D%205%283x%20%2B%205%29%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A14x%20%2B%2028%20%3D%2015x%20%2B%2025%20%5C%5C%20%20%5C%5C%2014x%20-%2015x%20%3D%2025%20-%2028%20%5C%5C%20%5C%5C%20-%20x%20%3D%20%20-%203%20%5C%5C%20%20%5C%5C%20x%20%3D%203)
Answer:
the probability is 0.0202
Step-by-step explanation:
The computation is shown below:
Given that
The Average life span = 17 hours
Standard deviation = 0.8 hours
Sample = 30 batteries
Sample mean = 16.7 hours
Now based on the above information
The probability is
![P (\bar x \leq 16.7) = P (\frac{\bar x - \mu}{(\frac{\sigma }{\sqrt{n} } )} \leq (\frac{16.7 - \mu}{(\frac{\sigma }{\sqrt{n} } )}\\\\= P(z\leq \frac{16.7-17}{\frac{0.8}{\sqrt{30} } } )\\\\= P(\leq -2.05)\\\\= 0.0202](https://tex.z-dn.net/?f=P%20%28%5Cbar%20x%20%5Cleq%2016.7%29%20%3D%20P%20%28%5Cfrac%7B%5Cbar%20x%20-%20%5Cmu%7D%7B%28%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D%20%29%7D%20%5Cleq%20%20%28%5Cfrac%7B16.7%20-%20%5Cmu%7D%7B%28%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D%20%29%7D%5C%5C%5C%5C%3D%20P%28z%5Cleq%20%5Cfrac%7B16.7-17%7D%7B%5Cfrac%7B0.8%7D%7B%5Csqrt%7B30%7D%20%7D%20%7D%20%29%5C%5C%5C%5C%3D%20P%28%5Cleq%20-2.05%29%5C%5C%5C%5C%3D%200.0202)
Hence, the probability is 0.0202