What is the momentum of the bullet?
1 answer:
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Answer:
x ≈ 48.2°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = =
, then
x = (
) ≈ 48.2° ( to the nearest tenth )
<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:
Probability of getting doubles = 1/4
Step-by-step explanation:
Given - A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.
To find - Using a sample space diagram, find the probability of getting a double.
Proof -
Given that,
A four-sided spinner is spin twice.
So,
The Sample Space becomes
S = { (1, 1), (1, 2), (1, 3), (1, 4)
(2, 1), (2, 2), (2, 3), (2, 4)
(3, 1), (3, 2), (3, 3), (3, 4)
(4, 1), (4, 2), (4, 3), (4, 4) }
So,
n(S) = 16
Now,
Let A is the event Getting a double, So,
A = { (1, 1), (2, 2), (3, 3), (4, 4) }
and
n(A) = 4
So,
The Probability of getting doubles = n(A) ÷ n(S)
= 4 ÷ 16
= 1/4
∴ we get
Probability of getting doubles = 1/4
