Answer:
Migrate
Explanation:
Go to a different location
Answer:
Explanation:
To find the percentage of cars averaged less than 62 mph calculate the corresponding z-score and use a standard normal cumulative probability table
<u>1. Z-score</u>
![Z-score=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z-score%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
- x is the specific value of the random variable: 62mph
- μ is the mean of the population: 65mph
- σ is the standard deviation of the population: 5mph
Substitute and calculate
![Z-score=\dfrac{62-65}{5}=-0.600](https://tex.z-dn.net/?f=Z-score%3D%5Cdfrac%7B62-65%7D%7B5%7D%3D-0.600)
<u>2. Use of the table.</u>
The percentage of cars that averaged less than 62mph is given by the area under the curve to the left of z = -0.600.
From a standard normal cumulative probability table, the probability of z being less than -0.600 (which is equal to the probability of z being greater than 0.600) is 0.2743, which is 27.43%.
Thus, the conclusion is that 27.43% of the cars averaged less than 62mph.
confused on what your asking, please reask.. =)
By applying Pythagorean' theorem, the value of tanP is equal to 3/4.
<h3>How to determine the value of tan P?</h3>
Since triangle PQR has right-angle Q and sinR = 4/5, we have:
sinR = Opp/hyp = 4/5
tanP = Opp/Adj = QR/4
Next, we would determine the length of QR by applying Pythagorean' theorem:
PR² = QR² + PQ²
5² = QR² + 4²
25 = QR² + 16
QR² = 25 - 18
QR = √9
QR = 3 units.
For the value of tanP, we have:
tanP = 3/4.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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