The legs of a right triangle are 3 units and 10 units what is the length of the hypotenuse ? Round your answer to the nearest hu
1 answer:
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Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.
Answer:
Option C.
Step-by-step explanation:
Consider the complete question is "Triangle JKL is transformed using the rule . Point K of the pre-image is at (4, 7). What are the coordinates of point K'' on the final image?".
According to , we get
According to , we get
The rule means first reflection and then rotation.
We need to find the image of K(4,7).
After reflection, we get
After rotation, we get
Therefore, the correct option is C.