Answer:
The approximate height is 8.9 cm
Step-by-step explanation:
To find the height of a cone with a diameter of 10 cm and a volume of 225 cubic centimeter, we will follow the steps below;
first, write down the formula for finding the volume of a cone
v=πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given,
diameter = 10 cm but d=2r this implies that r= 
r= 10/2 = 5cm
hence r= 5cm
Also v= 225 cm³
π is a constant and is ≈ 3.14
We can now proceed to insert the values into formula and then solve for h
v=πr²
225 ≈ 3.14 × 5² ×
225 ≈ 78.5 ×
225 ≈ 
cross-multiply
675 = 75.8 h
divide both-side of the equation by 75.8
8.9 ≈ h
h≈ 8.9
Therefore, the approximate height is 8.9 cm
Answer:
x=9
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
----> by intersecting chords theorem
substitute the given values
solve for x
The information's given in the question are of vital importance. These information's should be very useful while getting to the desired answer of the given question.Let us now concentrate on the problem that needs to be solved.
The height of the sign that casts a shadow of 4 meters is = 5 meters
Then
The height of the tree that casts a shadow of 30 meters = (5/4) * 30 meters
= 150/4 meters
= 37.5 meters
So the tree casting a shadow of 30 meters is actually 37.5 meters in height. I hope the procedure is simple enough for you to understand.
Answer:
0.0923 = 9.23% probability that four of the patients are still alive after five years.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Po is an oncologist with seven patients in their care.
This means that 
The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.
This means that 
What is the probability that four of the patients are still alive after five years?
This is P(X = 4). So
0.0923 = 9.23% probability that four of the patients are still alive after five years.
0.78p = 2.73.....with p being the number of lbs
divide both sides by 0.78
p = 2.73 / 0.78
p = 3.5 lbs <=== ur answer
