Answer:
8 inches
Step-by-step explanation:
To find the area of a triangle, we use the formula
A = 1/2 bh where b is the length of the base and h is the height
A = 24 and b = 6
24 = 1/2 (6) * h
24 =3h
Divide each side by 3
24/3 = 3h/3
8 =h
The height is 8 inches
For this case we have the following quadratic equation:

The solutions will be given by:

Where:

Substituting the values we have:

We have two roots:

ANswer:

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Answer:
(155.301 ; 159.299)
Step-by-step explanation:
Xbar = 157.3
Sample size, n = 234
Population standard deviation, σ = 15.6
The confidence interval :
Xbar ± standard Error
Standard Error = Zcritical * σ/√n
Zcritical at 95% = 1.96
Standard Error = 1.96 * (15.6/√234) = 1.999
Lower boundary : 157.3 - 1.999 = 155.301
Upper boundary : 157.3 + 1.999 = 159.299
(155.301 ; 159.299)