The 1.8 s is the time for the signal to reach the ocean floor and return to the ship so the time to reach ocean floor = 1.8 / 2 = 0.90 seconds.
depth of ocean = speed * time
= 1498 * 0.90 = 1348.2 m Answer
Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So




The limit that 97.5% of the data points will be above is $912.
40 minutes*7 days of the week= 280 minutes a week. So, 320-280= 40 minutes left over. 40:320= 1:8. You were correct!
Answer:
units
Step-by-step explanation:
The distance formula is
where
is the distance between points
and
. Let
and
, thus:

Therefore, the distance between points P(5,1) and Q(3,4) is
units.
Answer:
$1.20
Step-by-step explanation:
9.20 x 4 = 36.8
7.60 x 5 = 38
38 - 36.8 = 1.20