Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3 hours. What is Rachel's unit walking rate in miles per hour and in hours per miles? 5 2/3 / 2 2/3 = 17/3 / 8/3 = 17/3 x 3/8 = 17/8 = 2 1/8 miles per hour.
Answer:
The probability that Sonia picks a yellow hair clip and a blue hair clip without replacement = 
Step-by-step explanation:
Given:
Sonia has:
5 yellow hair clips
2 red hair clips
3 blue hair clips
To find the probability that she picks a yellow hair clip and a blue hair clip without replacement.
Solution:
Total number of clips =
= 10
The probability that Sonia picks a yellow clip from the lot will be :
⇒ 
⇒ 
Simplifying fraction by dividing both numbers by their G.C.F.
⇒ 
⇒ 
<em>Since no replacement is taking place, so after picking a yellow clip from the lot, the number of clips is decreased by 1.</em>
So, new number of clips =
= 9
The probability that Sonia picks a blue clip from the remaining lot will be :
⇒ 
⇒ 
Simplifying fraction by dividing both numbers by their G.C.F.
⇒ 
⇒ 
The probability that she picks a yellow hair clip and a blue hair clip without replacement can be given as:
⇒ 
⇒ 
⇒
(Answer)
Answer:
........................
Step-by-step explanation:
Answer:
the expected population after 3 years is 863.7009
Step-by-step explanation:
The computation of the expected population after 3 years is shown below
P = P_0 × e^rt
where,
r = 21% = 0.21
t = 3 years
P_0 = 460
Now place these values to the above formula
P = 460 × exp(0.21 × 3)
= 863.7009
hence, the expected population after 3 years is 863.7009
We simply applied the above formula so that the correct value could come
And, the same is to be considered
88/106 x 100
.830188679 x 100
83.02%