Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
notice, this will just be a Permutation.
you can always check your calculator also for a [ ₙPᵣ ] button.
Answer:
$174438.30
Step-by-step explanation:
35000 × 1.055^30
(original amount) × (decimal percentage)^(years)
35000 × 1.055^30 = 174438.2951
round it up to = $174438.30
Answer:
Sample 1 : independent
Sample 2 : dependent
Step-by-step explanation:
From the question we are told that
The given date is
Sample 1: Pre-training blood pressure of 17 people
Sample 2: Post-training blood pressure of 17 people
Now Sample 1 is independent because the Pre-training blood pressure of 17 people does not depend of Post-training blood pressure of 17 people
While
Sample 2 is dependent because the Post-training blood pressure of 17 people is dependent on the Pre-training blood pressure of 17 people
