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:
x equals 10
Step-by-step explanation:
All triangles have 180 degrees
The bottom left angle is a right angle and is therefore 90°
That leaves us with x+8x=90°
9x=90°
x=10°
First we need to determine the circumference of the bath.
Circumference = Diameter X pi
6(pi) = 18.84 feet
and the girls want to put perches that are at least 3 feet between each other so you can just divide the circumference by 3
18.84 / 3 = 6.28 so 6
If you don't understand the concept then think of it like this, if you have in total 18.84 feet and you want to place something down every 3 feet then start subtracting 3 from your total till you can't add anymore perches.
18 - 3 = 15
15 - 3 = 12
12 - 3 = 9
9 - 3 = 6
6 - 3 = 3
3 - 3 = 0
We subtracted 3, SIX times so we added 6 perches
Answer:
its B
Step-by-step explanation:
you do 40 over 100 then x over 225
40 x
----- X ------ then you cross multiply then divied 40x225/100=90
100 225
