The graph of the line y = -6 is a horizontal line which passes through the y axis at -6. On the other hand, the graph of the equation, x = 1/6 is a vertical line that passes through the x-axis at 1/6. The intersection of these lines is at a point that is expressed as (1/6, -6).
Answer:
A = 27π cm² or about 84.8 cm²
Step-by-step explanation:
Area of a full circle is πR²
As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing
A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²
10 miles per second in feet per second is 14.67 feet per second
Step-by-step explanation:
The average speed of one team in a relay race = 10 miles per hour.
We need to find the speed in feet per second.
1 mile per hour = 1.467 feet per second
So, Speed in feet per second is:
1 mile per hour = 1.467 feet per second
10 miles per hour = 10*1.467 feet per second
= 14.67 feet per second
So, 10 miles per second in feet per second is 14.67 feet per second
Keywords: Conversion of units
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X shortest piece
X+6 middle piece
X+8 longest piece
Add them
3x+14=56
3x=42
X=42/3=14
Answer:
80/81
Step-by-step explanation:
If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.
The probability of getting at least 1 head involves 4 scenarios:
1) 1 Head and 3 Tails
2) 2 Heads and 2 Tails
3) 3 Heads and 1 Tail
4) 4 Heads
Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:
P(at least one head) + P(no heads) = 1
Then, P(at least one head) = 1 - P(no heads)
The probability of 4 tails is:
P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81
Then, P(at least one head) = 1 - 1/81=80/81