Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
The margin of error is given by:
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The estimate is of 
, while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.
Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at brainly.com/question/25890103
Acceleration = (change in speed) / (time for the change) .
Change in speed = (25 m/s - 9 m/s) = 16 m/s
Time for the change = (8 sec - 5 sec) = 3 seconds
Acceleration = (change in speed) / (time for the change)
= (16 m/s) / (3 sec)
= (5 and 1/3) m/s² .
(rounded to the nearest hundredth ... 5.33 m/s² . )
Answer:
below
Step-by-step explanation:
The point N is at (-7, -8)
The point N’ is at (4, -4)
On the x-axis, -7 to 4 is a shift of 11 units to the right.
On the y-axis, -8 to -4 is a shift of 4 units upward.
To find the scale factor, we need to find the change in radius size.
As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.
As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.
6 is 3 times the amount of 2, meaning the scale factor is 3.
Hope this helps!
Answer:
5) the answer is 2 hours
Step-by-step explanation:
1 hour: 35% is destroyed
35% added 2 times (2 hours) equals 70%
