Answer:
Hence the new height is 3 times the original height .(h1=3h)
Step-by-step explanation:
Given:
A cone with has height and base with radius r .
To Find:
What is new height
Solution:
Consider as cone with height h base radius r, and volume v
Here given that only height changes for the cone i.e. r remains the unchanged or same or constant
The volume for a regular cone is given by ,

Here V is directly proportional to h i.ee pie ,3 and r being constant

i.e V/h=constant
V1 and h1 are new dimensions for new cone
V/h=V1/h1
Here V1=3V
So V/h=3V/h1
1/h=3/h1
i.e h1=3h
Hence the height is 3 times the original height .
A distribution of probabilities is a numerical means of describing all unique combinations and the probabilities for a provided random variable, and the further discussion can be defined as follows:
- The distributions mean (average), basic difference, skewness, as well as courtesies, are among such factors.
- A formula, table, or chart can show a probability distribution for discrete probability distribution X that providing
for all x. - For just a discrete random variable, the probability assigns annual probabilities with only a countless multitude of unique x values.
- <em><u>Each result is likely to be between 0 and 1, including.</u></em>
Therefore, the final choice is "Option A".
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0.024 is 2.4%
0.125 is 12.5%
0.05 is 5%
Showing the workMultiply 0.05 by 100 to convert to percent:
<span>0.05 × 100 = </span>5 %
0.5 is 50%
Showing the work - Multiply 0.5 by 100 to convert to percent:
0.5 × 100 = 50 %
Showing the work -multiply 0.024 by 100 to convert to percent:
0.024 × 100 = 2.4 %
Answer:
k = -
, k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - 
k - 2 = 0 ⇒ k = 2
...........................