Answer:
circumference of circle (c)=15.2mm
length of radius (r)=?
we know,
c= 2×pi×r=2×3.14×r
or,15.2/6.28=r
or,2.4=r
2.4mm=r
Figured what out
a question
Answer:
A sample size of at least 737 specimens is required.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the width M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:

So:





A sample size of at least 737 specimens is required.
Answer:
32.25%
Step-by-step explanation:
The equation of variation is z = ky/√x
When y is increased by 15%, we have value of y = 1.15y.
To keep z constant √x must = 1.15 so x must be 1.15^2 = 1.3225.
Therefore x must be increased by 0.3225 or 32.25%.
Answer:
C and E
Step-by-step explanation:
Substitute (- 6, 2) into the left side of each equation and if equal to the right side then that is a possible equation
A
2(- 6) - 3(2) = - 12 - 6 = - 18 ≠ - 6
B
4(- 6) - 2 = - 24 - 2 = - 26 ≠ 26
C
3(- 6) + 2(2) = - 18 + 4 = - 14 ← this is correct
D
- 6 - 2 = - 8 ≠ - 2
E
- 6 + 2 = - 4 ← This is correct
Thus the 2 possible equations are C and E