Step-by-step explanation:
3x+7y-12=0
3x+7y=12
3x=12-7y
x=12-7y/3
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:
533.3%
Step-by-step explanation:
simplify the fraction to 16/3 (3x5+1=16) then you multiply the fraction by 100
which is 533.3 or 533 1/3 %
Answer:
(simplified form)
Step-by-step explanation:
I is the total length of all the 5 rods.
Each of the 5 parts lengths are 
, respectively.
<em>We add all of them and equate it to I:</em>
<em>Simplifying this, we take like terms and add:</em>
<em>
</em>
