What is the volume of a sphere with a radius of 4 cm? Use 3. 14 for pi. Round to the nearest hundredth. 50. 24 cm³ 66. 99 cm³ 20
1 answer:
The volume of the sphere is 267. 95 cm³.
<h2>Given </h2>The radius of the sphere is 4cm.
<h3>What is the volume of sphere?</h3>The volume of a sphere is the three-dimensional space occupied by a sphere.
The volume of the sphere is determined by the following formula;
Where r is the radius of the sphere.
Substitute all the values in the formula;
Hence, the volume of the sphere is 267. 95 cm³.
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We have been given a circle. We are asked to find the measure of arc MN.
We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:
Upon substituting our given values, we will get:
Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.
Answer:
0.7738 = 77.38% probability that an incorrect message is received.
Step-by-step explanation:
For each bit, there are only two possible outcomes. Either it is corrupted, or it is not. The probability of a bit being corrupted is independent of any other bit. This 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.
5% probability a bit is sent incorrectly:
This means that
Message of length 5
This means that
What is the probability that an incorrect message is received?
This is the probability of at least one incorrect bit, which is:
In which
0.7738 = 77.38% probability that an incorrect message is received.