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 ![\alpha = [100 - 95]\% = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%5B100%20-%2095%5D%5C%25%20%3D%20%200.05)
and
the critical value of 
is 
For a 90% confidence the level of significance is ![\alpha = [100 - 90]\% = 0.10](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%5B100%20-%2090%5D%5C%25%20%3D%20%200.10)
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
Answer:6 cups
Step-by-step explanation:
3/4.5=4/x
Cross product
3x=18
X=18/3
X=6
Answer:
1.75 gallons
Step-by-step explanation:
First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...
2 + 1.75 = 3.75 miles
The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...
3.75 - 0.5 = 3.25 miles
Leaving us with a total hiking distance of
3.75 + 3.25 = 7 miles.
Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.
7 * 0.25 = 1.75 gallons
Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.
Answer:
13
Step-by-step explanation:
b= 3
3x3= 9
9+4= 13
3x3+4=13
Hope this helps
<h2>
Hello!</h2>
The answer is:
The correct option is the first option:
<h2>
Why?</h2>
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at: 
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!
