Answer:
0.818335 ≤ p ≤ 0.86366
Step-by-step explanation:
Given that:
Sample size (n) = 1000
Positive lung cancer = 841
n(p) = 841, p(p) = 841/1000 = 0.841
n(1 - p) = 1000 - 841 = 159
1 - p = 0.159
95% confidence interval
For a 95% confidence interval : z = 1.96
P ± z√p(1-p) / n
0.841 ± 1.96 * √0.841(0.159) / 1000
0.841 - (1.96 * 0.0115636) = 0.818335344
0.841 + (1.96 * 0.0115636) = 0.863664656
0.818335 ≤ p ≤ 0.86366
7 + x/4 = 5 (common denominator is 4)
4(7+x/4) = 4 x 5 (distribute the 4 though parenthesis)
4 *7 +4x/4 = 4 x 5
4 * 7 + x = 4 x 5
28 + x = 4 x 5
28 + x = 20 (subtract the 28)
x = 20 - 28
x = -8
Step-by-step explanation:
Given 
To get g(x), we will have to integrate g'(x)

If g(1) = 0, this means at x = 1, g(x) = 0
0 = -1⁻¹ + C
C= 1
Substitute C = 1 into the function
g(x) = -x⁻¹ + 1
If g(2) = 0, this means at x = 2, g(x) = 0
0 = -2⁻¹ + C
C= 2⁻¹
C = 1/2
Substitute C = 2 into the function
g(x) = -x⁻¹ + 1/2
Answer:
70.45%
Step-by-step explanation:
The markup is $75 -44 = $31. As a percentage of the wholesale price, that is ...
$31/$44 × 100% ≈ 70.45%
Answer:
Okay, so. What I'd do is this.

Then I'd combine like terms.
So:

Once you've got 6x, you subtract 6 from 180.

Now all that's left to do is divide each side by 6 to get x.
X should be 29.
Step-by-step explanation:
You know that adding the equations will give you 180 because you know they're supplementary.