The percentage of the time will Oliver get a written warning when he is more than 16 minutes late for his shift at work is 46.7%.
<h3>What is a density curve?</h3>
The density curve is a type or way of representation of numbered distribution data over a graph. Here, the outcomes are continues. The density curve can not be below the x-axis or horizontal line of the graph.
In a density curve,
- The mean of a density curve is indicated by μ (mu).
- The standard deviation of a density curve is indicated by Sx.
Records show that Oliver is typically 10-30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.
Oliver will get a written warning if he is more than 16 minutes late for work. The time remain after the 16 minutes is,
t=30-16
t=14 min
Thus, the percentage of the time will Oliver get a written warning is,
p=(14/30)*100
p=46.7 %
Thus, the percentage of the time will Oliver get a written warning when he is more than 16 minutes late for his shift at work is 46.7%.
Learn more about the density curve here;
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Speed equals distance over time.
16.5 km/ 0.25 hrs= 66 km/hr
Final answer: 66 km/hr
Answer:
The angle of elevation is equal to 68.2 degrees
Step-by-step explanation:
As you can see from the image below we are trying to find the angle on the bottom right.
We know that the hypotenuse is equal to 14 and we know that the opposite is equal to 14. This means that we will be using Sine.
sin x = 13/14
divide:
sin x = 0.9285714286
now we need to use sin^-1
sin^-1 (0.9285714286) = 68.21321071
Round 68.21321071 to the nearest tenth:
68.2
The angle of elevation is 68.2 degrees!
35x + 20y = 7620
x+y=276
Y=276-x
35x+20(276-x)=7620
35x+5520-20x=7620
15x=2100
X=140
140+y=276
Y=136
140 adults and 136 children
