Answer:
2.5% probability that a randomly selected book has fewer than 133 pages.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 189 pages
Standard deviation = 28 pages
What is the probability that a randomly selected book has fewer than 133 pages?
133 = 189 - 2*28
So 133 is two standard deviations below the mean.
The Empirical Rule states that 95% of the measures are within 2 standard deviations of the mean. The other 5% is more than two standard deviations distant from the mean. The normal distribution is symmetric, which means that of those 5%, 2.5% are more than 2 standard deviations below the mean and 2.5% are more than 2 standard deviations above the mean.
This means that there is a 2.5% probability that a randomly selected book has fewer than 133 pages.
Answer:
The diameter of circle is 24 cm.
Step-by-step explanation:
We are given the following in the question:
Circumference of circle = 75.36 cm
We have to find the diameter of the circle.
Circumference of circle =
where r is the radius of the circle.
Putting values, we get,
Diameter of circle =
Thus, the diameter of circle is 24 cm.
When the ball reaches the ground is equal to one of the zeros, or x-intercepts. In order to find the zeros of a function, you need to factor the equation.
y=16x^2+64x
y=-16x(x-4)
The zeros are x=0 and x=4
Therefore the answer is D, after 4 seconds.
Hope this helps!
Answer:
60 .
Step-by-step explanation:
Normal pay for 4 hours = 10 * 4 = 40.
Overtime for 4 hours = 40 * 1 1/2
= 60.
Answer:
3 7/12
Step-by-step explanation:
