I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator
was wrong! Help would be greatly appreciated!
1 answer:
Answer:
Volume, V = 3367.6 cm³
Step-by-step explanation:
Given the following data;
Diameter = 18.6 cm
Radius = diameter/2 = 18.6/2 = 9.3 cm
Pie, π = 3.14
To find the volume of the sphere;
Mathematically, the volume of a sphere is given by the formula;
Where;
r is the radius of the sphere.
Substituting into the formula, we have;
Volume, V = 3367.6 cm³
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Answer:
The probability of getting a sample with 80% satisfied customers or less is 0.0125.
Step-by-step explanation:
We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.
Let = <u><em>sample proportion of satisfied customers</em></u>
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, p = population proportion of satisfied customers = 90%
n = sample of customers = 80
Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( 80%)
P( 80%) = P(
) = P(Z
-2.24) = 1 - P(Z < 2.24)
= 1 - 0.9875 = <u>0.0125</u>
The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.
The ratio of life expectancy to gestation period is greatest at point (A) A.
<h3>What is life expectancy?</h3>- Life expectancy is a statistical measure of how long an organism is expected to live based on its birth year, current age, and other demographic factors such as gender.
- The most commonly used metric is life expectancy at birth (LEB), which has two definitions.
To find the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest:
- The graph below shows life expectancy on the y-axis and gestation period on the x-axis.
- The life expectancy to gestation period ratio for point A is 7/22.5 = 14/45.
- For point B, the ratio is 8/45.
- Because the y coordinate is greater at Y than at X, which has the same x coordinate, we only consider the ratio at D, which is 10/51.
- Since 14/45 > 8/45, we only have to compare 14/45 and 10/51.
- So, 14 × 51 = 714 and 45 × 10 = 450.
- Then, 14/45 > 10/51.
Therefore, the ratio of life expectancy to gestation period is greatest at point (A) A.
Know more about life expectancy here:
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The correct question is given below:
Of the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest?
A) A
B) B
C) C
D) D
