Answer:
48 is 25% of 12
Step-by-step explanation:
Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
<u>Check conditions for a 1-proportion z-interval:</u>
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
<u>Given:</u>
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
F= (x) cos ÷ sin.
so f would be -5
Answer: x = -1 and x = 0.
Justification:
The solution of f(x) = g(x) are those values of x for which the output of f(x) is equal to the output of g(x).
The table shows that the output for f(0) is 0 and the output of g(0) is also 0.
So, 0 is one solution of the equation.
Also, the table shows that the output for f(-1) is - 1/2, as well as the output of g(-1) is - 1/2. So, -1 is other solution of the equation.
Therefore, this equation has two solutions x = - 1 and x = 0.