The way that you would do this is by taking
out of the binomial, or as I like to think about it, 'un-distributing'. :p
out of
, you end up with
.
When you take
out of
, you get
.
Put it together, and the solution is
-
.
Hope I helped!!
44 moths 176 butterflies 220/5 x 4 = 176
176 + 44 = 220
<u>Given</u>:
Given that there are 10 marbles in a bag. 4 are blue, 3 are black, 2 are white and 1 is red.
The marbles are selected by not replacing the drawn ones.
We need to the probability of selected a black marble and then a white marble without replacement.
<u>Probability</u>:
Let B denote the black marble.
Let W denote the white marble.
The probability of selecting a black marble is 
The probability of selecting a white marble without replacement is 
The probability of selecting a black marble and then a white marble without replacement is given by
Substituting the values, we get;
Thus, the probability of selecting a black marble and then a white marble without replacement is 
Answer:
$10
Step-by-step explanation:
Given that:
Amount earned for 0 mile = $50 (earned for signing up)
Amount earned for walking 1 mile = $60 ($50 for signing up and $10 for. Walking)
Hence, the amount earned per mile walked according to the information given is $10
Total amount earned =. Sign up fee +. Walking fee
$60 = $50 + walking fee
Walking fee = $60 - $50
Walking fee =. $10
Miles walked = 1 mile
Hence , amount earned per mile = $10
Answer:
the fraction of surface that is not covered is 11/36
Step-by-step explanation:
To do this we first have to calculate the two surfaces
s = π * r^2
π = 3.14
r = d/2
d1 = 20
d2 = 24
r1 = 20/2
r1 = 10
r2 = 24/2
r2 = 12
s1 = π * r1^2
s1 = 3.14 * 10^2
s1 = 3.14 * 100
s1 = 314
s2 = π * r2^2
s2 = 3.14 * 12^2
s2 = 3.14 * 144
s2 = 452.16
to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1
s1 / s2 =
314 / 452.16 =
25/36
1 we subtract this
1 - 25/36 = 11/36
the fraction of surface that is not covered is 11/36
