Answer:
0.9885 (98.85%)
Step-by-step explanation:
Since sample is less than 10% of the population, we can use binomial distribution to approximate the probability.
So we want to calculate P( X < 20 ).
We can calculate the probability of complement event P( X = 20 ).
Use binomial formula b(x; n, p) = C( n, x ) p^(x) (1-p)^(n-x)
b( 20; 20, 0.8 )
= C( 20, 20 ) (0.8)^(20) (0.2)^0
= (0.8)^20 ≈ 0.0115
So since P( X < 20 ) = 1 - P( X = 20 ), we have
P( X < 20 ) ≈ 1 - 0.0115 = 0.9885
For the answer to the question above,
<span>Let's work with the left-hand side
We're going to times cosx/1-sinx by 1+sinx/1+sinx, you can do this because 1+sinx/1+sinx is equal to 1, so you aren't really changing anything.
After you've times the top and bottom by 1+sinx, you get:
cosx(1+sinx) / (1-sinx)(1+sinx)
The denominator is a difference of squares, so you get 1-sin^2 x
what you have now is
cosx(1+sinx) / 1-sin^2x
You know that 1-sin^2x is equal to cos^2x
so know you have
cosx(1+sinx) / cos^2x
get rid of the cosx on top by simplifying and the cos^2x so that you're left with
(1+sinx) / cos x
Therefore cosx / 1- sinx = 1 + sinx / cos x</span>
Answer:
7000
Step-by-step explanation:
Because kilo means a thousand so for example 1kg=1000g
Answer:
3
Step-by-step explanation:
3t + 2 = 5t - 4
3t - 5t = -4 - 2
-2t = -6
t = 6/2
t = 3
Answer:
a negative and a positive
Step-by-step explanation:
always equal a negative
and she put x next to 31.7 when x was not meant to be there
