Step-by-step explanation:
hope this helps you out with the problems
For any kite, we have two pairs of congruent adjacent sides. In general, the kite would have sides of x, x, y , y. In this case, x = 19 is known while y is unknown.
The four sides add up to 52, so
x+x+y+y = perimeter
19+19+y+y = 52
38+2y = 52
2y+38-38 = 52-38 .... subtract 38 from both sides
2y = 14
2y/2 = 14/2 ... divide both sides by 2
y = 7
Therefore the opposite side of the 19 meter side is 7 meters
<h3>Answer: B) 7 meters</h3>
y = 3x - 1
x - y = -9
Subs y in second equation.
x - (3x - 1) = -9
x - 3x + 1 = -9
-2x = -9 - 1
-2x = -10
x = -10/-2
x = 5
Subs x
y = 3x - 1
y = 3.5 - 1
y = 15 - 1
y = 14
Beck add like terms so you get
4x^2 -4x-15
lucy factor our negative so you left with -4x^2 +5x -10 +8x^2 -9x -5
simplify 4x^2 -4x -15
therefore both students answers simplify to 4x^2 -4x -15
The probability of rolling a 2 is 1/6. If X is a random variable representing the number of 2s that are obtained after rolling a die 23 times, then X follows a binomial distribution with success probability p = 1/6 across n = 23 trials.
The variance of a binomial distribution with parameters p and n is n p (1 - p), so the standard deviation in this case would be
√(23 • 1/6 • 5/6) ≈ 1.8
