Answer:
Step-by-step explanation:
6x - 3 - 11
6(4) - 3 - 11
24 - 14
10
4/5 because 12/15 was simplified using 3.
Answer: -5
Step-by-step explanation:
84 + 8 -676
Complete question :
The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Answer:
(−0.0085 ; 0.0481)
Step-by-step explanation:
Given that :
n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%
Zα/2 = 1.96 ( Z table)
Confidence interval : (p1 - p2) ± E
E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]
p1 = x1 /n1 =181/1205 = 0.1502
q1 = 1 - p1 = 1 -0.1502 = 0.8498
p2 = x2/n2 = 143/1097 = 0.1304
q2 = 1 - p2 = 1 -0.1304 = 0.8696
E = 1.96 * √(0.0001059 + 0.0001033)
E = 0.0283
p1 - p2 = 0.1502 - 0.1304 = 0.0198
Lower boundary = 0.0198 - 0.0283 = −0.0085
Upper boundary = 0.0198 + 0.0283 = 0.0481
(−0.0085 ; 0.0481)
Solving this problem is just pretty straight forward. All
we simply have to do is to plug in the value of t (in days) in the function,
solve then we get the number of susceptible people.
A. At the beginning of the epidemic
t = 0
f(x) = 15000 e-^(0.05 * 0)
f(x) = 15000
B. After 14 days
t= 14
f(x) = 15000 e-^(0.05 * 14)
f(x) = 7,448.78 = 7,449
C. After 21 days
t = 21
f(x) = 15000 e-^(0.05 * 21)
f(x) = 5,249
D. After 5 weeks
t = 5 * 7 = 35
f(x) = 15000 e-^(0.05 * 35)
f(x) = 2,606.61 = 2607