Answer: Mullins family eat of the pizza the Hernandez family ate.
Step-by-step explanation:
Area of circle = , where r is the radius
Given, Diameter of Hernandez family's pizza = 20 inches
Radius = = 10 inches
Area of Hernandez family's pizza =
Since, they divide pizza into 15 pieces , area of each slice =
They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)
=
Diameter of Mullins family's pizza = 12 inches
Radius = = 6 inches
Area of Mullins family's pizza =
Since, they divide pizza into 8 pieces , area of each slice =
They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)
=
Since,
Hence, Mullins family eat of the pizza the Hernandez family ate.
Answer:
How many different lines pass through a 3x3-point grid if a line only needs two points?
Step-by-step explanation:
The answer being (93)=9! 3! 6! =9⋅8⋅73⋅2⋅1=84 possible arrangements.
The regression equation which correctly models the data in this table is y = 1.49x - 107.5,
<h3>How to determine the regression equation?</h3>
From the table of data values, we have the following parameters:
∑x = 632
∑y = 404
∑x² = 80.142
∑xy = 51.448
Mathematically, the regression equation is represented by the following slope equation:
y = Bx + A
Next, we would determine A by using this expression:
A = (∑y·∑x² - ∑x·∑xy)/(n∑x² - (∑x)²)
A = (404×80,142 - 632×51,448)/(5×∑x² - (632)²)
A = (32,377,368 - 32,515136)/(5×80142 - 399,424)
A = -137,768/1286
A = 107.5
For B, we have:
B = (n∑xy· - ∑x·∑y)/(n∑x² - (∑x)²)
B = (5×51,448 - 632×404)/(5×∑x² - (632)²)
B = 1.49.
y = Bx + A
y = 1.49x - 107.5
Read more about regression equation here: brainly.com/question/28037520
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<span>S= (a+b)^2+(4a+b-2)^2+(9a+b-4)^2
98a+14b-44=0
14a+3b-6=0
a=24/49, b=-2/7
y = (24/49)x^2-(2/7)</span>
Answer:
x = -2
Step-by-step explanation:
x^2 + 4x + 4 = 0
quadratic formula:
-b +or- sqrt(b^2-4ac)/2a
-4 +/- sqrt ((-4)^2-4*1*4)/2*1
-4+/- sqrt(16-16) / 2
-4 +/- 0 / 2
-4/2
-2