Option D is the correct answer
food has a mean fish weight of 12 lbs. and a standard deviation of 1 lb. A fish is measured to be
11.25 lbs. Which brand of fish food, Nacho Average Minos or Impossible Minos, is more likely to have
been used to feed this fish?
Answer:
i'll see if a friend knows ill work on it
Step-by-step explanation:
B) y= -2x+2/3
C) y=2/3x+2
D) y=2/3x -2
Answer:
The exact value of is
Step-by-step explanation:
We need to calculate the exact value of
Since,
Put in above
Since,
Therefore, the exact value of is
The exact value of tan(5π/12) is √(2/3).
The exact value of tan(5π/12) can be calculated using trigonometric identities and reference angles.
The angle 5π/12 is not a special angle with a known tangent value, so we need to work with its reference angle, which is π/12.
Using the identity tan(θ) = sin(θ) / cos(θ), we can express tan(π/12) as:
tan(π/12) = sin(π/12) / cos(π/12)
Now, let's find the exact values of sin(π/12) and cos(π/12) using half-angle and double-angle formulas:
sin(π/12) = sin(π/6) / 2^(1/2)
= 1 / 2^(1/2) / 2
= (2^(1/2)) / 4
= √2 / 4
cos(π/12) = cos(π/6) / 2^(1/2)
= 3^(1/2) / 2 / 2^(1/2)
= 3^(1/2) / 4√2
= (√3) / 4
Now, we can substitute these values back into the expression for tan(π/12):
tan(π/12) = sin(π/12) / cos(π/12)
= (√2 / 4) / (√3 / 4)
= (√2 / 4) * (4 / √3)
= √2 / √3
= √(2/3)
Therefore, the exact value of tan(5π/12) is √(2/3).
Learn more about trigonometric identities at brainly.com/question/25618616
#SPJ6
Answer: The values of the variable can only be placed into categories.
Step-by-step explanation:
Type list of beverage sold is a categorical variable because the values of the variable can only be placed into categories.
A categorical variable, also referred to as nominal variable. is a variable which consist of two or more categories, this usually does not involve special ordering of the categories.
The area A of a Norman window in terms of its width x can be expressed as the function A(x) = 8x - x²/2 - πx²/8, deriving this equation involves isolating variables from the given perimeter equation.
A Norman window has the shape of a rectangle topped with a semicircle. If we take x as the width of the window and y as the height of the rectangle, then the perimeter of the window is given by P = 2y + x + πx/2 = 16 (since the perimeter is the sum of the rectangle's two sides, the width, and half the circumference of a circle with diameter x).
From this equation, we can express y as a function of x: y = 8 - x/2 - πx/4.
Then, the area A of the window is the sum of the area of the rectangle and the area of the semicircle, which equals A = xy + πx²/8 = x(8 - x/2 - πx/4) + πx²/8 = 8x - x²/2 - πx²/4 + πx²/8.
Therefore, the area A of the window as a function of the width x of the window is A(x) = 8x - x²/2 - πx²/8.
#SPJ6