This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture. Thus, option (D) is correct.
Event - 1: Choosing a letter from the alphabet that is Q.
Let us assume the probability of happening of event 1 is P(Q).
Event - 2: Choosing a digit from 0-9 that is 7.
Let us assume the probability of happening of event 1 is P(7).
Now, we need to choosing the secret code that is 7Q.
We need to multiply both events to get the desired result.
Thus,
This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture.
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Answer:
Option 4: P(7∩Q) = P(7) × P(Q)
Step-by-step explanation:
P(7∩Q) represents the probability of choosing the secret code "7Q".
If A and B are independent events, then,
P(A∩B) = P(A) × P(B)
Let A be the event of choosing a number from 0-9 and
B be the event of choosing an alphabet.
Clearly, A and B are independent.
Therefore,
P(7∩Q) = P(7) × P(Q)
8 ; 2,2622 g
8 ; 4.75 g
8 ; 0.15 g
Answer:
D. 8; 0.15 g
Step-by-step explanation:
We have been given that a a laboratory has a 38 g sample of polonium-210. The half-life of polonium-210 is about 138 days.
To find the half-lives of polonium-210, we will divide 1104 by 138.
Therefore, there are 8 half-lives will occur in 1104 days.
Therefore, 0.15 gm of the polonium will be left after 1104 days.
–34.7
B.
–2.3
C.
2.3
D.
34.7
A. 30
B. 12.5
C. 5
D. 7
Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
= - 4x² + 24x - 36 + 16 ← collect like terms
= - 4x² + 24x - 20