3 + -4x = 5(x +6)
Re-order the terms:
3 + -4x = 5(6 + x)
3 + -4x = (6 . 5 + x . 5)
3 + -4x = (30 + 5x)
Solving:
3 + -4x = 30 + 5x
Solving for variable "x"
Move all terms containing "x" to the left, all the other terms to the right.
Add "-5x" to each side of the equation.
3 + -4x + -5x = 30 + 5x + -5x
Combine like terms: -4x + -5x = -9x
3 + -9x = 30 +5x + -5x
Combine like terms: 5x + -5x = 0
0 + -9x = 30 +0
3 + -9x = 30
Add "-3" to each side of the equation.
3 + -3 + -9x = 30 + 3
Combine like terms: 3 + -3 = 0
0 + -9x = 30 + -3
-9x = 30 + -3
Combine like terms: 30 + -3 = 27
-9x = 27
Divide each side by "-9".
x = -3
Simplifying:
x = -3
To solve this problem, we make use of the z statistic.
The formula for the confidence interval can be calculated using the formula:
Confidence Interval = p ± MOE
where,
p is the portion of girls = 278 / 556 = 0.5
MOE is the margin of error
We calculate the margin of error using the formula:
MOE = z * sqrt[p (1 – p) / n]
From the standard distribution tables, the value of z at 99% confidence is:
z = 2.58
Therefore the MOE is:
MOE = 2.58 * sqrt[0.5 (0.5) / 556]
MOE = 0.055
Therefore the confidence interval is:
Confidence Interval = 0.5 ± 0.055
Confidence Interval = 0.445, 0.555
0.445<p<0.555
That'd be 10^3 * 6*10^(-3), or just 6.
Answer:
<h2>25°</h2>
Step-by-step explanation:
Complement angle is the sum of two angles forming a right angle.
Follow the given steps to find the angle:
< a + 65° = 90°
< a = 90 - 66
< a = 25°
The answer to your question is 17/18
