Answer:
The focus is: 
Step-by-step explanation:
Given

Required
Determine the focus
The focus of a parabola

is:

So, we have:

Cross multiply

Rewrite as:

Rewrite as:

Express 8 as 4 * 2

By comparison with: 

So, the focus
is:


George will arrive 20 minutes before Max
It takes Max 3 hours(180 minutes) to run 30 km .
The rate can be calculated as follows:
rate = 30 / 180 = 1/6 km/ min
George uses 2 hours 20 minutes(140 minutes) to run 30 km.
The rate can be calculated as follows:
rate = 30 / 140 = 3/14 km / min
If both are to complete a 15-kilometre race, Therefore,
Max time will be
1 / 6 = 15 / t
t = 15 × 6
t = 90 minutes
George time will be
3/14 = 15 / t
3t = 210
t = 210 / 3
t = 70 minutes
Time difference = 90 - 70 = 20 minutes
Therefore, George will arrive 20 minutes earlier than Max
read more: brainly.com/question/18594378?referrer=searchResults
Answer:
a) 281 days.
b) 255 days
Step-by-step explanation:
Problems of normally distributed samples are 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:

(a) What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths?
100 - 8 = 92th percentile.
X when Z has a pvalue of 0.92. So X when Z = 1.405.




(b) What is the maximum pregnancy length that can be in the bottom 3% of pregnancy lengths?
3rd percentile.
X when Z has a pvalue of 0.03. So X when Z = -1.88




Answer:
1470 inches cubed
Step-by-step explanation:
Vol=length × width × height
But ALSO,
length × width = Area,
So we find another Volume equation,
Vol = BaseArea × height
This is the information you are given in the question.
Vol = 210 × 7
Vol = 1470 inches cubed