Answer:
0.025
Step-by-step explanation:
Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.
If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40
Hence probability for arriving after 8.20 is 1/40
Prob he arrives at exactly 8.21 is 1/60
To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.
= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20
This is conditional probability and hence
= 
Answer:
x^87
Step-by-step explanation:
Multiplying x^22 and x^7 results in x^29.
Then we have:
(x^29)^3 = x^87
Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)
The maximum number of hours that can be allocated in a day is 21
Data given;
- Sale = $3500
- Employee pay = $10.00 per hour
- Percentage allocated to employee = 6% of sales
<h3>Percentage</h3>
This is the process of finding a fraction of a value multiplied by 100.
Let's find the actual figure allocated to employee pay.
6% of $3500 is;
The percentage out of sale allocated for employee pay is $210
Now we know the actual amount allocated to employee pay and it is $210.
Divide the amount allocated to employee pay by $10:00 to find the actual hours we can allocate in a day.
The maximum number of hours we can allocate in a day is 21 hours.
Learn more on percentage here;
brainly.com/question/843074
The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
Given, a rectangular plot of land that is 1,500 ft long and 600 ft wide the scale model of the park measures 7.5 ft x 3 ft.
The actual tennis court must be 120 ft long and 60 ft wide, then we need to find the dimensions of the tennis court in the scale model.
<h3>What is a scaled model?</h3>
A scale model is a physical model which is geometrically similar to an object. Scale models are generally smaller than large prototypes such as vehicles, buildings, or people.
First, divide the original measurements by the scaled ones. We get
1500 ft. ÷7.5 ft = 200
600 ft. ÷ 3 ft. = 200
Now, divide tennis courts actual dimensions by 200. That is
120 ft. ÷ 200 = 0.6 ft
60 ft. ÷ 200 = 0.3 ft
Therefore, the dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
To learn more about scale factor visit:
brainly.com/question/22312172.
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Answer:
The distance between those points rounded to the nearest tenth is 5.1
Step-by-step explanation:
1. (x2-x1) = (-1 - 4) = -5
2. (y2-y1) = (4 - 3) = 1
3. (-5^)2 + (1)^2 = 25 + 1 = 26
4. √26 = √26
5. 5.099 ---> Rounded to the nearest tenth = 5.1
