Answer: No, it is not a solution
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Explanation:
The point (3,-4) means that x = 3 and y = -4 pair up together
Let's plug these x,y values into each equation
Starting with the first equation, we get,
y = 4x-16
-4 = 4(3)-16 ... x replaced with 3; y replaced with -4
-4 = 12-16
-4 = -4 .... this is a true statement
Repeat for the second equation
y = 2x-6
-4 = 2(3)-6
-4 = 6-6
-4 = 0 ... this is false
Since we get a false statement, this means (3,-4) is not on the line y = 2x-6, which means that overall (3,-4) is not a solution to the system of equations. The point (3,-4) must make both equations true for it to be a solution.
Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
Answer:
2(w+6)
Step-by-step explanation:
Answer:
78 feet
Step-by-step explanation:
<em>COmplete Question is in attached image.</em>
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Eric will want to buy fencing that is sum of perimeter of the square border outside and hexagon inside.
Perimeter is the sum of all sides.
Perimeter of hexagon is sum of 6 sides.
Each side is 5, so
Perimeter of Hexagon = 5 + 5 + 5 + 5 +5 +5 = 30
Now,
Perimeter of Square is sum of all 4 sides measuring 12 each, so
Perimeter of Square = 12 + 12 + 12 + 12 = 48
Total amount of fencing needed = 30 + 48 = 78