Answer:
70degrees
Step-by-step explanation:
It needs to add up to 180 so
45+65=110
so we add 70 because 70+110=180
Answer: 70 degrees
Answer:
(-6,-5)
Step-by-step explanation:
Let a function be f(x)
So, f(x-a) would be the same function BUT translated a units to the RIGHT.
So, that changes all x coordinates a units to the right (+a) and all the y-ccordinates remains same.
Our function goes through the transformation f(x-2), which means 2 units to the right, so we "ADD" 2 to all x-coordinates and y remains same.
Thus, the point (-8,-5) would become (-8+2,-5) = (-6,-5)
If order matters, then there are 12 ways to do this
If order does not matter, then there are 6 ways to do this
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We have 4 choices for the first slot and 3 choices for the next (we can't reuse a letter) so that's where 4*3 = 12 comes from
If order doesn't matter, then something like AB is the same as BA. So we are doubly counting each possible combo. To fix this, we divide by 2: 12/2 = 6
To be more formal, you can use nPr and nCr to get 12 and 6 respectively (use n = 4 and r = 2)
Answer:
The <em>p</em>-value of the test is 0.0512.
Step-by-step explanation:
The <em>p</em>-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
In this case the output of the t-test_ind method from scipy module is provided as follows:
Output = (-1.99, 0.0512)
The first value within the parentheses is the test statistic value.
So the test statistic value is, -1.99.
And the second value within the parentheses is the <em>p</em>-value of the test.
So the <em>p</em>-value of the test is 0.0512.
-3, -1, and 1
-3 - 1 + 1 = -3
4*1= 4
4 - 7 = -3
