The given values are:
p = 22% = 0.22
Zc = 1.645 at 90% confidence level.
margin of error, E = 0.04
The formula we can use here is:
E = sqrt(pq/n) * Zc
0.04 = sqrt(0.22*(1-0.22)/n)*1.645
n = (0.22*(1-0.22))*(1.645/0.04)^2
n = 290.22
hence minimum sample size = 290
Answer:
12.12ft
Step-by-step explanation:
14² = 7² + x²
x² = 14² - 7²
x² = 196 - 49
x² = 147
x = √147
x = 12.12ft
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles
Answer:
change the equation into one variable.
2 y equals 10 + x
y equals 5 + x by 2
now put that into the second equation
-3x + b parentheses 5 + x / 2 equals 11
-3x+b(5+ x/2)
-3x + b5 + bx/2 = 11
