P(x) does not need to be transformed.
You are getting a value for x in the sentence. Therefore you can put the value in and get an answer. The graph does a fine job of this and does not need to be changed.
The only reason you would change the graph is if the parameters of the drawing change.
Answer:
The cone's height is 9
Step-by-step explanation:
Recall that the volume of a cone is: , where 'h' is the cone's height, and "r" the radius of its base.
In our case, we know that the volume of the cone equals; .
We also know the diameter of the base (12), so the radius of the base must be half of this: 6
Now we replace all known values in the formula for the volume, and solve for the unknown "h':
Answer:
x = sqrt(5)
Step-by-step explanation:
The ratio of the areas is equal to the ratio of the side lengths squared
20 5^2
----- = -----
4 x^2
Using cross products
20 x^2 = 4 * 5^2
20x^2 = 4*25
20x^2 = 100
Divide by 20
20x^2 = 100/20
x^2 = 5
Take the square root of each side
sqrt(x^2) = sqrt(5)
x = sqrt(5)
Answer:
0.24
Step-by-step explanation:
These events are not mutually exclusive; this means they can happen at the same time.
For two events A and B that are not mutually exclusive,
P(A and B) = P(A) * P(B|A)
Let A be the event "over 21 years old" and B be the event "drinks alcohol".
The probability that a student is over 21 years old is 0.3; this is because 30% of the students are over 21 years old.
The probability that a student drinks alcohol given they are over 21 is 0.8.
This gives us
P(A and B) = 0.3(0.8) = 0.24
The z-score for 45cm is found as follows:
Reference to a normal distribution table, gives the cumulative probability as 0.0099.
Therefore about 1% of newborn girls will be 45cm or shorter.