Answer:
probability that a randomly selected page that contains only text will contain no typos that is
P(x=0) = 
= 0.923
Step-by-step explanation:
<u>Poisson distribution</u>:-
Explanation of the Poisson distribution :-
The Poisson distribution can be derived as a limiting case of the binomial
distribution under the conditions that
i) p is very small
ii) n is very large
ii) λ = np (say finite
The probability of 'r' successes = 
Given the average number of typos ∝ = 0.08 per page.
probability that a randomly selected page that contains only text will contain no typos that is = 
After calculation P(x=0) = = 0.923
probability that a randomly selected page that contains only text will contain no typos =0.923
We are given a watermelon dropped at free fall from a building 320 meters above the sidewalk. Superman is headed down at 30 meters per second. We are asked to determine how fast is the watermelon going when it passes Superman. To solve for the final velocity of the watermelon, we will use one of the kinematic equations (free fall):
vf = vi + a*t
where vf is the final velocity
vi is the initial velocity, zero
a is the acceleration, in this case, gravitational acceleration = 9.8m/s^2
t is time
we also need to set-up another equation using the distance:
d = vf + vi / 2 * t
(1) 320 m = vf * t /2
(2) vf = 9.8 m/s^2 * t
From here, we have two equations and two unknown, thus we can solve the problem by substitution.
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If you would like to know how many centimeters are 27 millimeters, you can calculate this using the following steps:
1 cm ... 10 mm
x cm = ? ... 27 mm
1 * 27 = 10 * x
27 = 10 * x /10
x = 27/10
x = 2.7 cm
The correct result would be 2.7 cm.
Answer:
Option A is the correct answer.
Step-by-step explanation:
Here we need to factorize x²+3x−18
The coefficient of x is 3 and the constant is -18
Which means
The sum of factors is 3
The product of factors is -18
The factors satisfying are 6 and -3
Here the factors are given in the type (x+)(x−)
So the value after plus is 6 and value after - is 3
Option A is the correct answer.
If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12
