Given Information:
Sample size of country S = ns = 100
Sample size of country B = nb = 100
Number of people with blue eyes in country S = 15
Number of people with blue eyes in country B = 25
Confidence level = 95%
Required Information:
Difference in population proportion = ?
Answer:
A (-0.01, 0.21)
Step-by-step explanation:
The difference in mean is
μ = ps - pb
μ = 15/100 - 25/100
μ = 0.15 - 0.25
μ = 0.10
The difference in standard error is
ο = z*√(ps(1 - ps)/ns + pb(1 - pb)/nb)
The z-score corresponding to 95% confidence interval is 1.96
ο = 1.96*√(0.15(1 - 0.15)/100 + 0.25(1 - 0.25)/100)
ο = 1.96*√(0.15(0.85)/100 + 0.25(0.75)/100)
ο = 0.11
Therefore, the difference in population proportion with blue eyes is
μ ± ο
μ + ο, μ - ο
0.10 + 0.11, 0.10 - 0.11
0.21, -0.01
(-0.01, 0.21)
Therefore, the correct option is A.
Answer:
a) (x/2 +3)^2
b) (5a -3b)^2
c) (x/3 +y/5)^2
d) (10b -3c)^2
e) (a/4 -2b)^2
Step-by-step explanation:
Assuming you can do that, write the terms of the quadratic in lexicographical order. (The square terms will be first and last.) Then the binomial is the "sum" of the square roots of the first and last terms with the sign of the middle term.
Using (e) as an example, the term are already in order. (In (d), they need to be rearranged.) The first term is 1/16a^2, and its square root is 1/4a = a/4. The last term is 4b^2 and its square root is 2b. The sign of the middle term is negative, so these two roots will be separated by a minus sign:
(a/4 - 2b)^2
The expression you want is the square of the binomial.
_____
As a check, you can make sure that double the product of these terms is the middle term of the trinomial you started with.
In this example, that double product is 2·a/4·(-2b) = -ab, which exactly matches the middle term you started with.
Answer:
x = -3
Step-by-step explanation:
6 - 5 ( -3 ) = 21
21 = 21 ✅
- 3x + 2 ( - 6x² + 13x - 6 )
= - 3x - 12x² + 26x - 12
= - 12x² + 23x - 12
Answer:
Well if Liliana loses 18 points and Marcus get the correct one and gains 18 points
Step-by-step explanation:
So basically it's going to be negative because its saying what is the opposite of Liliana's core but in reverse order
