Answer:
The mid-point of the given line segment is:(5.5,-6.5)
Step-by-step explanation:
let us consider two points A and B with coordinates (a,b) and (c,d) respectively.
let C be the mid point of A and B then then the coordinates of C is given by
.
in the given question (a,b)=(9,-8) and (c,d)=(2,-5) so the mid point of these two points are
=(5.5,-6.5)
Hence, the coordinates of the midpoint of the line segment with endpoints B(9,-8) and C(2,-5) is (5.5,-6.5).
Amount of water in the pool at the end of the day is 5457798.7 gallons
<u>Explanation:</u>
Given:
Initial amount of water in the pool = 45,000 gallons
Increase in amount = 0.75 in per minute
Time, t = 1 day
t = 24 X 60 min
t = 1440 min
So,
Increase in amount of water in 1 day = 0.75 in X 1440
= 1080 in
Volume of 1080 in of water = (1080 in)³
Volume from cubic inch to gallon = 5453298.7 gallon
Amount of water in the pool at the end of the day = 45000 + 5453298.7 gallon
= 5457798.7 gallon
The mean exists at 3 and the standard deviation exists 0.87.
Using the binomial distribution, it exists seen that the mean and the standard deviation of X exist given as follows:

<h3>What is the binomial probability distribution?</h3>
The expected value of the binomial distribution exists:

The standard deviation of the binomial distribution exists:

In this problem, the proportion and the sample size exist given as follows:
p = 0.75
n = 4
Therefore, the mean and the standard deviation exist given by:



The mean exists at 3 and the standard deviation exists 0.87.
To learn about the binomial distribution refer to:
brainly.com/question/24863377
#SPJ4
214.5
11x22=242
11x5/2=17.5
242-17.5=214.5
Answer:
68.338
Step-by-step explanation:
to know how much is less than we have to substract
74.14-5.802=68.338