Answer:
<em>There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample.</em> ( B )
Step-by-step explanation:
Confidence level depicts the probability that the confidence interval actually contains the values of p ( true values of P ) hence
<em>There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample</em> Is a complete misinterpretation of the confidence interval therefore it is NOT true
Area of a Circle = PI * radius^2
= 3.14 * 1.8^2
= 3.14 * 3.24
= 10.17 meters^2
Answer:
-30
Step-by-step explanation:
- Plug in the values of x and y: 6 - 3(12)
- 3(12) = 3 × 12 = 36
- Plug 36 in: 6 - 36
- 6 - 36 = -30
I hope this helps!
Answer:
x = 0, y = 1
Step-by-step explanation:
2x + 6y = 6 → (1)
x - 3y = - 3 ( add 3y to both sides )
x = 3y - 3 → (2)
substitute x = 3y - 3 into (1)
2(3y - 3) + 6y = 6 ← distribute parenthesis and simplify left side
6y - 6 + 6y = 6
12y - 6 = 6 ( add 6 to both sides )
12y = 12 ( divide both sides by 12 )
y = 1
substitute y = 1 into (2)
x = 3(1) - 3 = 3 - 3 = 0
solution is x = 0 , y = 1
AB = 30 in and BC = 50 in.
We use Pythagorean theorem to solve this. Since AN is an altitude, this means that it is perpendicular to BC. This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:
18²+24² = AB²
324 + 576 = AB²
900 = AB²
Take the square root of both sides:
√900 = √AB²
30 = AB
NC and AN form the legs of the other right triangle, with AC being the hypotenuse:
24²+NC² = 40²
576 + NC² = 1600
Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024
Take the square root of both sides:
√NC² = √1024
NC = 32
BC = BN + NC = 18 + 32 = 50
