Answer:
The linear regression model that will determine approximate Fat Grams (y) as a function of Calories (x) is given by
y = 0.054 x - 2.105
Hence the correct option is B.)
Step-by-step explanation:
Step 1: Find X⋅Y and as it was done in the table below.
Step 2: Find the sum of every column:
ΣX = 1560, ΣY = 67, ΣX.Y = 14860 , ∑(
) = 337600
Step 3: Use the following equations to find a and b:
a = = -2.105
b = 
= 0.054
Step 4: Substitute a and b in regression equation formula
y = a + b⋅x= −2.105 + 0.054⋅x
The linear regression model that will determine approximate Fat Grams (y) as a function of Calories (x) is given by
y = 0.054 x - 2.105
Hence the correct option is B.)
Answer:
28°
Step-by-step explanation:
You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.
Answer:
a number with a non repeating and non terminating decimal expansion.
Step-by-step explanation:
Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.
Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.
In my estimations you have a triangle with 2 angles and an altitude or height. You have to find the base of the triangle in order to find the area. I set up the triangle and sine the 60 degree angle was bisected I know that the vertex angle is 30 in my right triangle. I used the tangent ratio of 30 to find the base of that triangle and then multiplied it by 2 to get that the whole base measure is 27.71281292. Then I multiplied it by the height I was given of 24 and divided the whole mess in half to get the area. 332.553 units squared.
