Answer:
The perimeter is 22.
Step-by-step explanation:
If you turn this shape into a rectangle, the perimeter doesn't change.
The width is given, it is 7.5. The height is BC+DE = 3.5
Then the perimeter is twice the width plus twice the height:
7.5*2 + 3.5*2 = 15+7 = 22
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
I will show how to do it:
Step 1: Start your point at 3 in the y axis (line going upwards)
Step 2: Move up twice.
Step 3: Now go to the right once.
Step 4: Use a ruler to draw the line.
Step 5: Cross check by picking two points that are on the line. Or use the formula - y2 - y1 / x2 - x1
Answer: C 2pi
Step-by-step explanation:
