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Answer:
<h2>y = 4x + 5 and y = 4x - 5</h2>
Step-by-step explanation:
(1) y = 4x + 5 and (2) y = 4x - 5
substitute (1) to (2):
4x + 5 = 4x - 5 <em>subtract 4x from both sides</em>
5 = -5 FALSE (no solution)
(1) y = 4x + 5 and (2) 2y = 8x + 10
substitute (1) to (2):
2(4x + 5) = 8x + 10 <em>divide both sides by 2</em>
4x + 5 = 4x + 5 <em>subtract 4x from both sides</em>
5 = 5 TRUE (infinitely many solutions)
(1) y = 4x + 5 and (2) y = x + 5
substitute (1) to (2):
4x + 5 = x + 5 <em>subtract 5 from both sides</em>
4x = x <em>subtract x from both sides</em>
3x = 0 <em>divide both sides by 3</em>
x = 0
Put it to (2):
y = 0 + 5 = 5
One solution (0, 5)
(1) y = 4x + 5 and (2) y = 8x + 10
substitute (1) to (2):
4x + 5 = 8x + 10 <em>subtract 5 from both sides</em>
4x = 8x + 5 <em>subtract 8x from both sides</em>
-4x = 5 <em>divide both sides by (-4)</em>
x = -1.25
Put it to (1):
y = 4(-1.25) + 5 = -5 + 5 = 0
One solution (-1.25, 0)
Answer: the z score is 1
Step-by-step explanation:
Since the head circumference for boys at birth is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = head circumference for boys at birth.
µ = mean head circumference
σ = standard deviation
From the information given,
µ = 34.5cm
σ = 1.3 cm
For a boy born with a head circumference of 35.8cm, the z score is
z = (35.8 - 34.5)/1.3
z = 1