Formulate the null and alternative hypotheses that can be used to determine whether the school is losing money out of the raffle
1 answer:
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Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...
The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
Answer:
y = 0.8x + 0.5
Step-by-step explanation:
First, find the slope using two pairs of values, (0.5, 0.9) and (0.75, 1.1):
m = 0.8
Find y-intercept, b, by substituting x = 0.5, y = 0.9 and m = 0.8 into y = mx + b
Thus:
0.9 = (0.8)(0.5) + b
0.9 = 0.4 + b
0.9 - 0.4 = b
b = 0.5
To write the equation substitute m = 0.8, and b = 0.5 into y = mx + b.
Thus:
y = 0.8x + 0.5
128
This question requires us to solve an infinite GP
As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as
∞
(64 used as 16*4 = 64 is the area of the first rectangle)
We have ∞
where a is the first term and r is the common ratio of the GP for summing an infinite GP.
here we have
Therefore
∞
Learn more about GP here
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