Which equation is in slop-intercept form?
2 answers:
Answer:
Step-by-step explanation:
The slope-intercept form of an equation is:
where <em>m </em>is the slope and <em>b</em> is the y-intercept.
Let's evaluate each answer choice. The one in slope-intercept form will have the y variable isolated on one side of the equation.
- A. 2x+3y=21: This is <em>not</em> is slope-intercept form. The y is not isolated.
- B. y-7=3(x+4): Again, this isn't slope-intercept form. A 7 is being subtracted from y
- C. y²=3x²-6: This also isn't correct. y is being squared.
- D. y=3x+12: This choice is correct. The y is all alone on the left side of the equation.
The equation in slope-intercept form is <u>D. y=3x+12</u>
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Answer:
(a) 1/2
(b) 1/2
(c) 1/8
Step-by-step explanation:
Since, when a fair coin is tossed three times,
The the total number of possible outcomes
n(S) = 2 × 2 × 2
= 8 { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT },
Here, B : { At least two heads are observed } ,
⇒ B = {HHH, HHT, HTH, THH},
⇒ n(B) = 4,
Since,
(a) So, the probability of B,
(b) A : { At least one head is observed },
⇒ A = {HHH, HHT, HTH, THH, HTT, THT, TTH},
∵ A ∩ B = {HHH, HHT, HTH, THH},
n(A∩ B) = 4,
(c) C: { The number of heads observed is odd },
⇒ C = { HHH, HTT, THT, TTH},
∵ A ∩ B ∩ C = {HHH},
⇒ n(A ∩ B ∩ C) = 1,