9 children in a class take the bus to school, and there are 15 total children in the class. What percentage of the children take
1 answer:
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Answer:
The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Step-by-step explanation:
Let the random variable <em>X</em> denote the water depths.
As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.
The probability density function of <em>X</em> is:
Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:
Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.
Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
