X - 2y = - 9
7x + 2y = 1
x - 2y = - 9
(+)
7x + 2y = 1
___________
8x = - 8
x = - 1
- 1 - 2y = - 9
2y = 8
y = 4
i am a mathematics teacher. if anything to ask please pm me
Answer:
The correct option is;
Simpson Paradox
Step-by-step explanation:
The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.
Whereby the data for calculating the bating averages as found online are given as follows;
Season, Derek Jeter David Justice
1995, 12/48 = 0.250 104/411 ≈ 0.253
1996, 183/582 ≈ 0.314 45/140 ≈ 0.321
The overall hits to the overall bats ratio are;
, (183 + 12)/(582 + 48) ≈0.310 (104+45)/(411+140) = 0.27
Which shows that Derek Jeter's overall average was better than Justice's average
Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
Answer:
45
Step-by-step explanation:
3 over 2 so then you take the 30 over 1 then the 2 at the bottom you divide the 30 and the 2 and you get 15 then you take the 15 times 3 and that is your answer 45.
