The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of
the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.
1 answer:
You might be interested in
Answer:
The probability value is almost equal to 0. Implying that the proportion of people dying in that particular interval if deaths occurred randomly throughout the year is unusual.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of decedents who died in the three-month period following their birthdays.
A random sample of 747 obituaries published recently in Salt Lake City newspapers revealed that 344 (or 46%) of the decedents died in the three-month period following their birthdays (123).
The probability (p) of anyone dying in any quarter if people die randomly during the year is simply 0.25.
The random variable <em>X</em> follows a Binomial distribution with parameters n = 747 and p = 0.25.
But the sample selected is too large and the probability of success is small.
So a Normal approximation to binomial can be applied to approximate the distribution of <em>p</em> if the following conditions are satisfied:
- np ≥ 10
- n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So, .
Compute the probability that 46% or more would die in that particular interval if deaths occurred randomly throughout the year as follows:
*Use a <em>z</em> table for the probability.
The probability value is almost equal to 0. This probability is very low indicating that the proportion of people dying in that particular interval if deaths occurred randomly throughout the year is unusual.
Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
<u>The measure of ∠B:</u>
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,
where and
Substituting, we get;
Substituting the values, we get;
Taking on both sides of the equation, we have;
Rounding off to the nearest tenth, we get;
Hence, the measure of ∠B is 36.0°