Answer:
d. 1,347.89
i hope I helped in time and you get a great score on your quiz !
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
First combine like terms so
2x+6=3x-8
3x - 2x =1X
-6 - -8= -14
1X ÷ -14
then just divide
X = 2y - 12....so sub 2y - 12 in for x in the other equation
3x + 4y = 14
3(2y - 12) + 4y = 14
6y - 36 + 4y = 14
6y + 4y = 14 + 36
10y = 50
y = 50/10
y = 5
x = 2y - 12
x = 2(5) - 12
x = 10 - 12
x = -2
solution is (-2,5) <==
