Answer:
1)
2)
3)
And the variance would be given by:
And the deviation would be:
4)
And the variance would be given by:
And the deviation would be:
Step-by-step explanation:
For this case we have the following distributions given:
Probability M J
0.3 14% 22%
0.4 10% 4%
0.3 19% 12%
Part 1
The expected value is given by this formula:
And replacing we got:
Part 2
Part 3
We can calculate the second moment first with the following formula:
And the variance would be given by:
And the deviation would be:
Part 4
We can calculate the second moment first with the following formula:
And the variance would be given by:
And the deviation would be:
Answer:
x=17
Step-by-step explanation:
(5x-58)=(2x-7) ->(because of cosine-rule)
3x=51
x=17
It would be 15 greater than or equal to 14
Given: ∠JNL and ∠MNK are vertical angles and m∠MNK=90°
Prove: ∠JNL is a right angle.
Statements Reasons
1. ∠JNL and ∠MNK are vertical angles. Given
2. Vertical angle theorem
3. Angle congruence postulate
4. Given
5. <u> Substitution Property of Equality</u>
Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.
Therefore,
6. ∠JNL is a right angle. Definition of right angle