Answer:
His rate is 12 1/2 pages per hour.
Step-by-step explanation:
Given that,
Gordon types 43 3/4 pages in 3 1/2 hours or Gordon types 175/4 pages in 7/2 hours./ We need to find its rate in pages per hour. So,
![R=\dfrac{\dfrac{175}{4}\ \text{pages}}{\dfrac{7}{2}\ \text{hour}}\\\\R=\dfrac{175}{4}\times \dfrac{2}{7}\\\\R=12.5\ \text{pages per hour}\\\\R=12\dfrac{1}{2}\ \text{pages per hour}](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7B%5Cdfrac%7B175%7D%7B4%7D%5C%20%5Ctext%7Bpages%7D%7D%7B%5Cdfrac%7B7%7D%7B2%7D%5C%20%5Ctext%7Bhour%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B175%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B2%7D%7B7%7D%5C%5C%5C%5CR%3D12.5%5C%20%5Ctext%7Bpages%20per%20hour%7D%5C%5C%5C%5CR%3D12%5Cdfrac%7B1%7D%7B2%7D%5C%20%5Ctext%7Bpages%20per%20hour%7D)
Hence, his rate is 12 1/2 pages per hour.
Answer:
Step-by-step explanation:
a) Total number of people surveyed, n = 2500
Let X denote the number in the sample that say they support the increase. If 30% of all adults in Ohio support the increase, it means that the percentage of all adults in Ohio that did not support the increase is
100 - 30 = 70%
This is a binomial probability because there are only two possible outcomes. Therefore,
Probability of success, p = 30/100 = 0.3
Probability of failure, q = 1 - p = 1 - 0.3
q = 0.7
Standard deviation = √npq
Standard deviation = √(2500 × 0.3 × 0.7) = 22.91
b) The probability that x is at least 800 is expressed as
P(x ≥ 800)
We would determine the probability by using the binomial probability calculator. Therefore,
P(x ≥ 800) = 0.01577
b. about 0.015.
The range is from -3 to ∞