Using a binomial distribution considering there's a 30% chance it will rain on any of the three days:
<span>The probability of it raining on 0 days is (1)(0.7)(0.7)(0.7) = 34.3%. </span>
<span>The probability of it raining on 1 day is (3)(0.3)(0.7)(0.7) = 44.1%. </span>
<span>The probability of it raining on 2 days is (3)(0.3)(0.3)(0.7) = 18.9%. </span>
<span>The probability of it raining on 3 days is (1)(0.3)(0.3)(0.3) = 2.7%. </span>
<span>There's a 65.7% chance that it will rain at least once over the three-day period.</span>
Answer: 
Step-by-step explanation:
Given
The height of the cylinder is 
The volume of the cylinder is 
The volume of the cylinder is the product of area and height
Insert the values
Thus, the area of the cross-section is
The value of b is -16 and the value of ac is 60 after comparing with the standard equation.
<h3>What is a quadratic equation?</h3>
Any equation of the form 
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic function:
= 3x² - 16x + 20
On comparing with standard function:
b = -16
a = 3
c = 20
ac = 3(20) = 60
Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ1
Answer:
P (T) = 1/4
P ( T | F ) = 1/2 = P(F)
The events are not independent.
Step-by-step explanation:
Let F the event of picking the white ball first
P (F)= 1/2 ( picking the white ball first)
Let T be the event of getting the white ball twice,
P (T) = P( getting white ball) * P( getting white ball)
=( 1/2)*(1/2)
= 1/4
Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.
P ( T | F ) = P (T∩F)/ P(F)
= (1/4)/ (1/2)
= (1/2)
= 1/2 = P(F)
For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).
Hence the events are not independent.
Divide the total amount of money Janice has by the cost of the stamps.
$7.20 / $0.30 = 24
Janice can buy 24 stamps.
