Answer:
31.
Step-by-step explanation:
The correct answer is 20.
square root 2 times square root of 200 = square root of 400 ans since 400 is a perfect square, then I'll calculate to 20.
Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M±
where
- M is the average track length (12 μm) in the report
- t is the two tailed t-score in 99% confidence interval (2.977)
- s is the standard deviation of track lengths in the report (2 μm)
- N is the total number of tracks (15)
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12±
=12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537
Answer:
(6,0)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).
In this case m will be 2 and n will be 3 as the ratio is 2:3
Using all these values we can find the coordinates of point Q

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)
Answer:
The inequality for this is 12.5x + 55 ≥ 160
and the amount of visits they need for free movie tickets is 8 visits
Step-by-step explanation:
if you subtract both sides by 55, you'll get
12.5x ≥ 105
and if you divide both sides by 12.5, you'll get 8.4, or 8