Answer:
The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100
Step-by-step explanation:
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion
Generally the margin of error is mathematically represented as
Here assume that 
is constant so
=> 
=> 
So let 
and 
=> 
=> 
=> 
So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100
Answer:
10017
Step-by-step explanation:
10^(4)-\sqrt(121)+3^(3)+4^(0)
So, 3^3= 27
4^0=1
10^4=10,000
-square 121= -11
So now you got:
10,000-11+27+1
=10017
The answer to our question is yes
Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
The distance is:
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at brainly.com/question/18090623
Answer:
Step-by-step explanation:
Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):
so
f(2) = -1
Now, f(4):
so
f(4) = 11
Now, f(7):
so
f(7) = 44
The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)
