<span><span>1. <span>x =(8-√76)/2=4-√ 19 = -0.359 </span>
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2. x =(8+√76)/2=4+√ 19 = 8.359 </span>
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5 5/9
5 * 5/9
25/9
The correct answer is 25/9, as shown above.
The equation to find a z score is (x- mean)/(standard deviation)
So, in this case the equation would be
(76-70)/(2.1)
For,
X=76
Mean=70
Standard Deviation= 2.1
After solving we find that the z score equals 2.85714
or
2.8571
A right triangle ABC is formed when we join three points around a lake. Length of the side AC = 6 miles. Length of the side BC = 2 miles. We have to find Length of side AB.Using Pythagorean theorem for Right triangle ABC , Right angled at B→AB² + BC²= AC²→ AB² + 2²= 6²→ AB² = 36 - 4→ AB²= 32→ AB = √ 32→→AB = 5.66 (approx)Option (B) AB = 5.66 is Right choice.
Volume of cone : (1/3) * pi * r^2 * h
<span>35 = (1/3) * 3.14 * 2.4^2 * h </span>
<span>h = 35 / ((1/3) * 3.14 * 2.4^2) </span>
<span>h ≈ 5.805 in </span>
<span>h = 5.81 in
Hope this helps you </span>
