Answer:
8.91
Step-by-step explanation:
Given: 0.95 = log x,
we can conclude that:
0.95 log x
10 = 10
0.95
which in turn is equivalent to x = 10 whose value is 8.91
Answer:
Step-by-step explanation:
Solve ab + c = d for a. Start by subtracting c from both sides, which yields ab = d - c. Next, divide both sides by b:
ab d - c
---- = --------
b b
This yields:
d - c
a = --------
b
<span><span>d/<span>dx</span></span><span>[<span><span>10x</span>+<span>e2</span></span>]
</span></span><span>=<span><span><span>d/<span>dx</span></span><span>[<span>10x</span>]</span></span>+<span><span>d/<span>dx</span></span><span>[<span>e2}
</span></span></span></span></span><span>=<span>ln<span>(10)</span></span>⋅<span>10x</span>+0
</span><span>=ln<span>(10)</span>⋅<span>10<span>x</span></span></span>
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