Answer with Step-by-step explanation:
We are given that
Radius of circle=r
Total distance traveled =s
Time=t
Central angle= rad
We know that
Linear speed,v=
Using the formula
Therefore, v=
Angular speed,
By using the formula
rad/s
A Statistics class has an enrollment of 300. Out of these, 95 are taking the Actuarial Statistics major, 120 are Data Science ma
1 answer:
Answer:
0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
There are 300 students.
80 + 5 = 85 are not Actuarial statistics or data science majors. So
0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major
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Answer:
The answer is below
Step-by-step explanation:
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:
Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:
From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%
Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism
Answer:
Given: In triangle ABC and triangle DBE where DE is parallel to AC.
In ΔABC and ΔDBE
[Given]
As we know, a line that cuts across two or more parallel lines. In the given figure, the line AB is a transversal.
Line segment AB is transversal that intersects two parallel lines. [Conclusion from statement 1.]
Corresponding angles theorem: two parallel lines are cut by a transversal, then the corresponding angles are congruent.
then;
and
Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.
by Reflexive property of equality:
By AAA (Angle Angle Angle) similarity postulates states that all three pairs of corresponding angles are the same then, the triangles are similar
therefore, by AAA similarity postulates theorem
Similar triangles are triangles with equal corresponding angles and proportionate side.
then, we have;
[By definition of similar triangles]
therefore, the missing statement and the reasons are
Statement Reason
3. Corresponding angles theorem
and
5. AAA similarity postulates
6. BD over BA Definition of similar triangle