Triangle= 180 degrees
Angle = 37.5 degrees
Supplement angle = 105 degrees
If you multiply the angle (37.5) by 2 and then add 30, it gives you 105. Then add 37.5 twice to make up the other two angles of the triangle and it gives you 180 total degrees as a triangle should.
Answer:
Step-by-step explanation:
From the information given,
Number of personnel sampled, n = 85
Mean or average = 6.5
Standard deviation of the sample = 1.7
We want to determine the confidence interval for the mean number of years that personnel spent in a particular job before being promoted.
For a 95% confidence interval, the confidence level is 1.96. This is the z value and it is determined from the normal distribution table. We will apply the following formula to determine the confidence interval.
z×standard deviation/√n
= 1.96 × 6.5/√85
= 1.38
The confidence interval for the mean number of years spent before promotion is
The lower end of the interval is 6.5 - 1.38 = 5.12 years
The upper end is 6.5 + 1.38 = 7.88 years
Therefore, with 95% confidence interval, the mean number of years spent before being promoted is between 5.12 years and 7.88 years
Step-by-step explanation:
1. (5/18) × (3/20)=
(5×3)/(18×20)=
15/360=1/24
2. (1/24) × (6/12)=
1/48
Answer:
1. 11/12
2. 1/2
3. 2/3
4. 3/4
5. 1
6. 4/5
7. 9/10
8. 3/5
Step-by-step explanation:
1. 11/12
2. 5/10= 1/2
3. 4/6=2/3
4. 6/8=3/4
5. 3/3=1
6. 4/5
7. 9/10
8. 3/5
