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: income
Step-by-step explanation:
$10.50a + $3.75b = $2,071.50
It is given that b = 82
Therefore - $10.50a + ($3.75)(82) = $2,071.50
or $10.50a + $307.50 = $2,071.50
$10.50a = $2,071.50 - $307.50 = $1,764.00
Therefore - a (number of adult tickets sold) = $1,764.00/$10.50 = 168 tickets
The object should be placed 20/cm from the lens so as to form its real image on the screen
<h3>Mirror equation</h3>
The mirror equation is given according to the expression below;
1/f = 1/u + 1/v
where
f is the focal length
u is the object distance
v is the image distance
Given the following parameters
f = 5cm
v = 20cm
Required
object distance u
Substitute
1/5 = 1/u +1/20
1/u = 1/5-1/20
1/u = 3/20
u = 20/3 cm
Hence the object should be placed 20/cm from the lens so as to form its real image on the screen
Learn more on mirror equation here; brainly.com/question/27924393
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Area = 1/2 base x height so you would find the area of one of the 3 larger sides which would be 12.2x6.1=74.42 then divide it by 2 which is 37.21. Then multiply it by 3 because of the other sides that are the same which gets you 111.63. Then you find the area of the bottom triangle by doing 5.3x6.1= 32.33 then divide it by 2 which is 16.165. Then you add both numbers together and you get 127.795. Answer is 127.795