Answer: 96%
Step-by-step explanation:
There are 25 total cyclists and 24 of those finished the race in less than 51 minutes. The question would like this 24 to be expressed as a percentage of 25.
In percentage this would be:
= Number of cyclists who finished in 51 minutes / Total number of cyclists * 100%
= 24 / 25 * 100%
= 96%
Answer: The professor was not accurate with his hypothesis.
Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternate hypothesis: At least one proportion of the student will differ from the others.
Step-by-step explanation: To check if the professors hypothesis were inaccurate.
What percentage of student bought a hard copy of the book.
(25 ÷ 200) × 100 = 12.5%
What percentage of the student printed it from the web.
(85 ÷ 200) × 100 = 42.5%
What percentage of the students read it online.
(90 ÷ 200) × 100 = 45%
This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.
Therefore; the null hypothesis are
P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternative hypothesis will state that at least one of the proportion will be different from the others.
You need to find the total distance and the total time. The total distance is two times the distance to school, 2d.s=d/t=>t=d/sWhere s is speed, d is distance and t is time. So the time taken to get to school is:d/s1and the time taken to get back is:d/s2so the total time is:d/s1+d/s2=d(1/s1+1/s2)So, as speed = distance/time, divide the total distance by the total time:2d/d(1/s1+1/s2)=2/(1/s1+1/s2)=2/(1/20+1/40)=80/3≈26.7km/hr
Answer:
24
Step-by-step explanation:
i did the opposite of division which is multiplication
3 x 8 = 24 or 1/24
The angle is the arctangent of the ratio of ay to ax. Since ay is negative and ax is positive, it is a 4th-quadrant angle.
... arctan(ay/ax) = arctan(-4.00/3.90) ≈ 314.27°
... about 5.48513 radians
