Answer:
b. 0.02
Step-by-step explanation:
The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. In this case, this will mean rejecting that the proportions are not significantly different.
Usually, a p-value is considered to be statistically significant when p ≤ 0.05.
From the answer options provided, alternative b. 0.02 is the only one that represents the difference in proportions to be statistically significant (there is only a 2% chance that the proportions are not significantly different).
Therefore, the answer is b. 0.02
Label the points A,B,C
- A = (1,2)
- B = (4,5)
- C = (8,9)
Let's find the distance from A to B, aka find the length of segment AB.
We use the distance formula.

Segment AB is exactly
units long.
Now let's find the distance from B to C

Segment BC is exactly
units long.
Adding these segments gives

----------------------
Now if A,B,C are collinear then AB+BC should get the length of AC.
AB+BC = AC
Let's calculate the distance from A to C

AC is exactly
units long.
Therefore, we've shown that AB+BC = AC is a true equation.
This proves that A,B,C are collinear.
For more information, check out the segment addition postulate.
Answer:
If a plank which is 10 feet long is cut into two pieces and if one piece is x feet long,
Then the other piece will be (10 – x) feet long.
Here the value of the one piece is given as ‘x’ value
so the represent of the length of the other part will be (10 – x ) feet
know more about “ratio” here:
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Answer:
f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12