Using the it's concept, the correct calculation for the probability of choosing a red grape and then without putting the red grape back into the bowl, choosing a green grape is:
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, we have that there is a total of 6 + 10 + 8 = 24 grapes. For the first grape, 10 are red, hence the probability that the first grape is red is:
For the second grape, considering that the first was red and was removed, there will be 23 grapes, out of which 6 will be green, hence the probability that the second grape is green is:
Hence the correct expression is found as follows:
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
ln2
Step-by-step explanation:
n --> infinity
Integral of 1/N as N varies from n+1 to 2n
Integral of 1/N = ln(N)
Upper limit - lower limit
ln(2n) - ln(n + 1)
ln[2n/(n + 1)]
ln[2/(1 + 1/n)]
As n --> infinity,
1/n --> 0
ln[2/(1 + 1/n)] --> ln2
Factorizing the denominator gives
Then the partial fraction decomposition would take the form
Answer:
x can be 3, -3, i, or -i.
Step-by-step explanation:
If you can't find the factoring by looking at this, simplify the equation.
let
x
2
=
y
to make things easier to see
Now we have
y
2
−
8
y
−
9
=
0
See it now?
We can factor into
(
y
−
9
)
(
y
+
1
)
Now substitute back in
x
2
for
y
.
(
x
2
−
9
)
(
x
2
+
1
)
Since
(
x
2
−
9
)
is a difference of two squares,
(
x
−
3
)
(
x
+
3
)
Now we have
(
x
−
3
)
(
x
+
3
)
(
x
2
+
1
)
x can be 3, -3 for the first two parts
x
2
+
1
=
0
can become
x
2
=
−
1
Taking the positive and negative root means
x
=
±
√
−
1
Thus
x
=
±
i
in addition to 3 and -3.
Answer:
900 yards
Step-by-step explanation:
540/3=180
180x5=900
