Answer:
For 99% of confidence interval is 67.5±1.3524
Step-by-step explanation:
Given:
Mean height =67.5 inches
Standard deviation:2.1 inches
Z at 99%.
No of samples 16.
To find:
confidence interval
Solution:
We have formula for confidence interval,
=mean ±Z*{standard deviation/sqrt(no.of observation)}
Now
Z=99%
has standard value as ,
Z=2.576
Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}
=67.5±2.57{(2.1/sqrt(16)}
=67.5±2.576(2.1/4)
=67.5±1.3524
Answer:
C
Step-by-step explanation:
related equation
-16t^2 + 32t + 20 = 0
-4t^2 + 8t + 5 = 0
Δ/4 = 16 + 20 = 36
t1 = (-4 + 6)/-4 = -1/2
t2 = (-4 - 6)/-4 = 5/2
-16(t+1/2)(t-5/2)
-16(2t+1/2)(2t-5/2)
-4(2t+1)(2t-5)
<span>1. 4 horses tie for 1st place
2. 3 horses tie for 1st place and 1 comes in 2nd place
3. 2 horses tie for 1st place and 2 tie for 2nd place
4. 2 horses tie for 1st place, 1 horse comes in 2nd and 1 comes in 3rd
5. 1 horse comes in 1st and 3 horses tie for 2nd place
6. 1 horse comes in 1st, 2 tie for 2nd place, and 1 comes in 3rd place
7. 1 horse comes in 1st, 1 comes in 2nd, and 2 tie for 3rd place.
8. 1 horse comes in 1st, 1 comes in 2nd, 1 comes in 3rd, and 1 comes in 4th.
</span>75.
Hope this helps.