Answer:
Step-by-step explanation:
The carving was made from a scale model with a scale of 1 inch = 1 foot. This means that one foot on the actual carving is represented by one inch on the model. So the model is smaller than the actual carving.
On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long.
We would convert the 1 foot on the model to inches because the model is represented in inches
12 inches = 1 foot
This means that on the model, Teddy Roosevelt's mustache was 12 inches by 8 inches long. Therefore,
Teddy Roosevelt's mustache was 12 feets by 8 feets long on the monument or carving
Answer:
The right answer is "
".
Step-by-step explanation:
The given values are:
As we know,
95% confidence for 
will be:
= 
The lower bound will be:
= 
= 
The upper bound will be:
= 
= 
Thus the right answer is ""
Solve for x over the real numbers:x = -2. x^2 - 8 x + 6
Hint: | Rewrite the right hand side of the equation.-2. x^2 - 8 x + 6 = -2 x^2 - 8 x + 6:x = -2 x^2 - 8 x + 6
Hint: | Move everything to the left hand side.Subtract -2 x^2 - 8 x + 6 from both sides:2 x^2 + 9 x - 6 = 0
Hint: | Write the quadratic equation in standard form.Divide both sides by 2:x^2 + (9 x)/2 - 3 = 0
Hint: | Solve the quadratic equation by completing the square.Add 3 to both sides:x^2 + (9 x)/2 = 3
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.Add 81/16 to both sides:x^2 + (9 x)/2 + 81/16 = 129/16
Hint: | Factor the left hand side.Write the left hand side as a square:(x + 9/4)^2 = 129/16
Hint: | Eliminate the exponent on the left hand side.Take the square root of both sides:x + 9/4 = sqrt(129)/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the first equation: Solve for x.Subtract 9/4 from both sides:x = sqrt(129)/4 - 9/4 or x + 9/4 = -sqrt(129)/4
Hint: | Look at the second equation: Solve for x.Subtract 9/4 from both sides:Answer: x = sqrt(129)/4 - 9/4 or x = -9/4 - sqrt(129)/4
