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Answer:
x = 2.5
Step-by-step explanation:
In order to solve for x, we need to write an equation. This question gives us the angles of a triangle, so we can use this to write our equation. All angles of a triangle will always add to 180 degrees, therefore:
(12x+6) + 104 + 40 = 180
Now we can just take out the brackets, combine like terms and isolate and solve for x:
12x + 6 + 104 + 40 = 180
12x + 150 = 180
12x + 150 - 150 = 180 - 150
12x = 30
12x/12 = 30/12
x = 2.5
Hope this helped!
Answer:
36
Step-by-step explanation:
The variance of one human is σ² = 36 days. Each gestation time for each human of the sample is independant of the other.
Both variance and mean of the sum of identically distributed indipendant random variables is equivalent to the product of the variance/mean of one element of the sample by the sample length.
Therefore, if we take the sum n of random variables with variance 36, then the variance of the sum will be 36*n. The sampling distribution is obtained from the sum by dividing by n. If we divide by a number, then the variance will be divided by its square. So the variance of the sampling distribution is 36*n/n² = 36/n, and the standard deviation is 6/√n days.
If we want the sampling distribution to have standard deviation equal to 1 day, then we need n such that
This shows that the sample length should be 36.
Answer:
Step-by-step explanation:
Hello, first we can develop (x+a)(x+b)
We know that this should be equal to
So, we can identify the coefficients of the like terms
1 = 1 (terms in
1 = a + b (terms in x)
-72 = ab (constant term)
72 is 8 * 9 so, -72=9*(-8)
and we have 9 - 8 =1
so, a = 9 and b = -8
Thank you