Answer:
slope= 10/9
y intercept= -11/9
Step-by-step explanation:
9y= 10x -11
y= 10/9x -11/9
slope= 10/9
y intercept= -11/9
Answer:
120
Step-by-step explanation:
Im not sure but 1.25 equals 1 1/4 and 16 cups equal a gallon.
16 divided by 1.25 is 12 which means that 12 of those ten servings equal a gallon. 10 times 12 is 120 which becomes ur answer. Once again im not sure but i hope that ive helped.
Answer:
4 / 3
Step-by-step explanation:
cos θ = 3 / 5
cos 53 = 3 / 5
θ = 53
tan θ = sin θ / cos θ
sin 53 = 4 / 5
tan 53 = sin 53 / cos 53
= ( 4 / 5 ) / ( 3 / 5 )
= ( 4 / 5 ) x ( 5 / 3 )
= ( 4 x 5 ) / ( 5 x 3 )
tan 53 = 4 / 3
Answers:
- (a) Independent
- (b) Dependent
- (c) Dependent
- (d) Independent
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Explanation:
If events A and B are independent, then the two following equations must both be true
- P(A | B) = P(A)
- P(B | A) = P(B)
This is because the conditional probability P(A|B) means "P(A) when B has happened". If B were to happen, then P(A) must be the same as before. In other words, event B does not affect A, and vice versa.
For part (a), we have P(B) = 1/4 and P(B|A) = 1/4 showing that P(B|A) = P(B) is true, and therefore we can say the events are independent. We don't need the info that P(A) = 1/8.
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Unlike part (a), part (b) has the answer "dependent" because P(A) = 1/8 and P(A | B) = 1/3 differ in value. Event A starts off at probability 1/8, but then event B occurring means P(A) gets increased to 1/3. The prior knowledge about B changes the chances of A. The P(B) = 1/5 is unneeded.
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If A and B were independent, then,
P(A and B) = P(A)*P(B)
However,
P(A)*P(B) = (1/4)*(1/5) = 1/20
which is not the same as P(A and B) = 1/6. Therefore the two events are dependent.
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Refer back to part (a)
P(A) = 1/4 and P(A|B) = 1/4 are identical in value, so P(A|B) = P(A) which leads to the events being independent. Whether we know event B happened or not, it does not affect the outcome of event A. P(B) = 1/9 is unneeded.
Answer: Less than
Step-by-step explanation: A variables value is always 1.
