Answer:
The confidence interval for 90% confidence would be narrower than the 95% confidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
For a 95% confidence the level of significance is
and
the critical value of
is 
For a 90% confidence the level of significance is
and
the critical value of
is 
So we see with decreasing confidence level the critical value decrease
Now the margin of error is mathematically represented as
given that other values are constant and only
is varying we have that

Hence for reducing confidence level the margin of error will be reducing
The confidence interval is mathematically represented as

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower
The common ratio between terms is 3, so the sequence has general
-th term

for
. The term exceeds 7000 when

which means the first time
exceeds 7000 occurs when
. Indeed,

while the previous term would have been

Answer:
About 5.5% decrease
Step-by-step explanation:
Here, we want to calculate the percentage increase or decrease and its value.
The first thing to do here is to check if we are going to have a decrease or an increase.
since the value before the change is higher than the value after the change, then what we have is a decrease.
Mathematically, the percentage decrease is calculated as follows;
% decrease = (old value - new value)/old value * 100%
old value = 163 feet
new value = 154 feet
% decrease = (154-163)/163 * 100%
% decrease = -9/163 * 100%
% decrease = -5.52%
Thus the best answer is about 5.5% decrease
Answer:
10 cm
Step-by-step explanation:
a^2 + b^2 =c^2
6^2 + 8^2 = c^2
36 + 64 = 100
then find the square root of 100 which equals 10