Answer:
68% Confidence interval = [4.5752, 4.5848]
95% Confidence interval = [4.5688, 4.5918]
Step-by-step explanation:
Sample mean (X) = 4.580
Sample Standard Deviation (S) = 0.01065
Sample size (n) = 6
for alpha/2 0.84 = 1.1037
for alpha/2 0.975 = 2.5706
68% Confidence interval = ![[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)]\frac{S}{\sqrt{n}}]](https://tex.z-dn.net/?f=%5Bx-T_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%2C%20x%2BT_%7B%285%29%5D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%5D)
= [4.5752, 4.5848]
95% Confidence interval = ![[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)}\frac{S}{\sqrt{n}}]](https://tex.z-dn.net/?f=%5Bx-T_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%2C%20x%2BT_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%5D)
= [4.5688, 4.5918]
<span>Expressed as a mixed number, 13/5 is equal to 2 3/5 or two and three fifths.
Hope this helps.</span>
Answer:
4.0075017*10^7
Step-by-step explanation:
move the decimal place left 7
Answer:
Angle A is 77°
x = 3
AC = 13
Step-by-step explanation:
Angles A, B and C MUST add up to 180°. If Angle C is 26°, then the sum of A and B and 26° = 180°. In other words, A+B = 180° - 26° = 154.
Since A and B are equal, A = B = 154°/2 = 77°
Since this triangle is isosceles, sides AC and BC are equal. Thus,
7x - 8 = 3x + 4, or
4x = 12. Then x = 3.
Since AC = 7x - 8, and x = 3, AC = 7(3) - 8 = 21 - 8 = 13
Step-by-step explanation:
A is correct option there are no real roots
because discriminant is less than zero
