Answer:
Step-by-step explanation:
<u><em>Formulate the equation of the polynomial function</em></u>
<u><em /></u>
<em>I hope this helps you</em>
<em>:)</em>
Answer:
Step-by-step explanation:
What is the margin of error if the sample size is 100, sample mean is 68.0, and standard deviation is 4.0
The Margin of error formula =
± z score × s/√n
Where s = standard deviation= 4
n= Number for samples = 100
z = z score of confidence interval
Margin of error = ± z × 4/√100
Margin of error = ±z × 4/10
=± z × 2/5
= ± z × 0.4
= ± 0.4z
Margin of error = ± 0.4z
Answer:
$159.37
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that,
|P| = 2x / 5 + 1
|Q| = x + 1
|P+Q| = 3x + 2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
(2x / 5) + 1 + x + 1 > 3x + 2
(2x / 5) + 2 + x > 3x + 2
Multiply through by 5
2x + 10 + 5x > 15x + 10
Collect like terms
2x + 5x - 15x > 10 -10
-8x > 0
Then,
Divide both side by -8, since we are dividing with a negative number the inequality sign will change
Then,
x < 0 first condition
Note that,
|P| > 0
Then,
2x / 5 + 1 > 0
2x / 5 > -1
2x > -5
x > -5/2
Also,
|Q| > 0
x + 1 > 0
x > -1
Also
|P+Q| > 0
3x + 2 > 0
3x > -2
x > -2 / 3
So, comparing the four conditions
We see that x ranges from -5/2 to 0, this range covers all the other ranges
(-5/2, 0)
The first answer is correct
2a) 12.9 cm
2b) 8.5 cm
2c) 6.9 cm
3a) 3.5 cm
3b) 2 cm
3c) 6.9 cm
Hope this was helpful :)
