Answer:
(0.5455 ; 0.7545)
Step-by-step explanation:
Given that:
Sample size, n = 80
Baseball fans, x = 52
Proportion, p = x/n = 52 / 80 = 0.65
Using the relation :
Confidence interval :
p ± Zcrit√[(p(1 -p))/n]
Zcrit at 95% = 1.96
Lower boundary: p - Zcrit√[(p(1 -p))/n]
0.65 - 1.96√[(0.65(1 -0.65))/80]
0.65 - 1.96√[(0.65(0.35))/80]
0.65 - 1.96 * √0.00284375
0.65 - (1.96 * 0.0533268)
0.65 - 0.104520528
= 0.545479472
Upper boundary: p + Zcrit√[(p(1 -p))/n]
0.65 + 1.96√[(0.65(1 -0.65))/80]
0.65 + 1.96√[(0.65(0.35))/80]
0.65 + 1.96 * √0.00284375
0.65 + (1.96 * 0.0533268)
0.65 + 0.104520528
= 0.754520528
(0.5455 ; 0.7545)
There are 5280 feet in a mile. So divide 607,200 feet by 5280 to get 115. The go-kart's speed is 115 miles per hour.
Answer: 5a+b
Step-by-step explanation:
Add zero
5a+b+0
5a+b
It is 12 - 2/3 = 18, then solve :)
hope that helps :D
The cost for each pound of trail mix and each pound of jelly is given below.
Step-by-step explanation:
Let t = cost/pound of trail mix
Let j = cost/pound of jelly beans
5t + 6j = 35
3t + 2j = 15 = > 2j = 15 - 3t
5t + 3(15 - 3t) = 35
5t + 45 - 9t = 35
- 4t + 45 = 35
- 4t = - 10
4t = 10
t = 2.5
3(2.5) + 2j = 15
7.5 + 2j = 15
2j = 7.5
j = 3.75