Answer:
a=21.1
Step-by-step explanation:
You can use the given (incorrect) equation and fill in the value of t to find h:
h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet
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Or, you can use the correct equation, or just your knowledge of revolutions:
h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet
in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.
Answer:
the answer is 8
Step-by-step explanation:
cube root of 512 is 8
Answer: 5.6 N/cm^2
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Work Shown:
Pressure = (Force)/(Area)
P = F/A
P = (84 N)/(15 cm^2)
P = (84/15) (N/cm^2)
P = 5.6 N/cm^2
For every square cm, 5.6 newtons of force is applied.
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Extra info:
If you wanted to convert this to pascals, then you would need to convert 15 cm^2 to 0.0015 square meters. Then apply the formula above to get 56,000 pascals. 1 pascal is equivalent to 1 N/m^2.
Answer: 2/3
Step-by-step explanation:
5/6 divided 5/4
5 times 4 and 6 times 5
equals 20/30
simplify 20/30 =2/3
Answer:
0.0367 = 3.67% probability that exactly 6 patients will die
Step-by-step explanation:
The patients are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question, we have that:
20 patients means that 
Sample of 8 means that 
9 have the heart problem, so 
What is the probability that exactly 6 patients will die?
This is P(X = 6).
0.0367 = 3.67% probability that exactly 6 patients will die
