Answer:
c. 0.778 < p < 0.883.
Step-by-step explanation:
The formula for confidence interval for proportion =
p ± z score × √p(1 - p)/n
p = x/n
n = 195, x = 162
z score for 95% confidence Interval = 1.96
p = 162/195
p = 0.8307692308
p ≈ approximately equal to = 0.8308
0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195
0.8308 ± 1.96 ×√0.8308 × 0.1692/195
0.8308 ± 1.96 × √0.0007208788
0.8308 ± 1.96 × 0.0268491862
0.8308 ± 0.052624405
Confidence Interval
= 0.8308 - 0.052624405
= 0.778175595
Approximately = 0.778
= 0.8308 + 0.052624405
= 0.883424405
Approximately = p
0.883
Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883
Answer:
A. 3.2% faster
B. 3.3% slower
C. 103.3%
Step-by-step explanation:
In order to find this out, we need to take the differences and divide them by the comparative time. So, in the first one, we take the difference (.32) and divide it by Hines time.
.32/9.63 = 3.2%
In the second, we take the difference and divide by Bolt's time.
.32/9.95 = 3.3%
And finally, in the last one, we take Hines' time and divide by Bolt's.
9.95/9.63 = 103.3%
There should be 3 more of them.
6 vertically opposite
2 alternate interior angles
4 It is vertically opposite 2. I've forgotten how to name 4, but what I've said will prove it.
U correct 2.25 is the evelvation before its decent