Answer:
Given that:
where
L(t) represents the length of each day(in minutes) and t represents the number of days.
Substitute the value of L(t) = 750 minutes we get;
Subtract 728 from both sides we get;
Divide both sides by 52 we get;
or
Simplify:
or
Simplify:
days
Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days
Answer:
0.0104
Step-by-step explanation:
Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.
So, mean,
and standard deviation,
The z-score, for any arbitrary life span of x year, is given by
By using the given values, we have
The z-score for x=24, by using equation (i), is
From the table, the area to the left side of z=2.31 =0.98956
But, the proportion of crocodiles have lifespans of at least 24 years
= Area to the right side of the z=2.31
=1- (Area to the left side of the z=2.31)
=1-0.98956
=0.01044
So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.
Hence, option (a) is correct.