Answer:
Perimeter ΔRON = 18.66 units
Step-by-step explanation:
Complete Question has these information given as well:
- Circle with center O
- RN = QN
- RQ =
- ON = 5 units
- RQ is tangent
<em><u>Now, we draw an image according to the information given. THe image drawn is attached.</u></em>
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Looking at the figure, we can say the perimeter of triangle RON would be:
RON = OR + ON + RN
We know according to tangent theorem, QN = QR
RN is equal to that as well and RN =
Now,
OR and ON is the radius, which is "5"
Perimeter of RON = 5 + 5 + = 10 + = 18.66 units
<u>Perimeter ΔRON = 18.66 units</u>
Answer:
The minimum sample size needed is 125.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
For this problem, we have that:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?
This minimum sample size is n.
n is found when 
So
Rounding up
The minimum sample size needed is 125.
The area doesn't tell you the dimensions. There are an infinite number of different answers, all with the same area but different dimensions.
Here are a few:
1 ft by 864 ft
2 ft by 432 ft
3 ft by 288 ft
4 ft by 216 ft
8 ft by 108 ft
16 ft by 54 ft
24 ft by 36 ft
27 ft by 32 ft.
The area of each of these is 864 square feet.
They both equal so symbol is "=" they have LCM of 3 .
9514 1404 393
Answer:
- boat: 48 km/h
- current: 14 km/h
Step-by-step explanation:
The upstream speed is ...
u = (204 km)/(6 h) = 34 km/h
The downstream speed is ...
d = (372 km)/(6 h) = 62 km/h
The speed of the boat in still water is the average of these values:
b = (34 kph +62 kph)/2 = 48 kph
The speed of the water is the difference between the boat's speed and the speed made good:
w = 48 -34 = 14 . . . km/h
The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.
