Using complementary events, considering a 
probability of drawing a red marble, the probability of not drawing a red marble is of 
.
<h3>What are complementary events?</h3>
They are mutually exclusive events which have the sum of their probabilities as 1.
In this problem, we consider that there is a probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:
The probability of not drawing a red marble is of .
More can be learned about complementary events at brainly.com/question/9752956
Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
Answer: The average length of time that the 25 customers waited before leaving the bank. <u> e. Statistic</u>
The list of times for the 25 customers who left the bank. <u> f.Data </u>
All of the bank's customers <u> d. Population</u>
The 25 customers that the manager observed leave. <u> c. Sample</u>
The length of time a customer waits before leaving the bank. a. <u>Variable.</u>
The average length of time that all customers will wait before leaving the bank <u>a. Parameter</u>
Step-by-step explanation:
A data is a list of observations.
In statistics, a variable is an attribute that defines a person, place, thing, or thought.
A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.
The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.
Answer:
0.675 m/s
Step-by-step explanation:
Let height of shadow= y,CD=x
Height of man=2 m
Speed of man= 
Therefore, 
Differentiate w.r.t t
When the man is 4 m from the building
Then, we have x=12-4=8 m
Substitute the values in above equation then, we get
Substitute the values then we get
Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.
