Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
Answer:
0.71
Step-by-step explanation:
The probability is a chance of an event happening. The probability of assured event is 100% or 1.
If there is no chance of an event happening the probability is zero (0).
The probability of snowing = 0.29
The probability of not snowing = 1 - 0.29
= 0.71
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
3 of 5 because you can halve each number for example 6 can be halved to make 3 and 10 can be halved to make 5
I would start by multiplying both sides of the inequality by 4 to eliminate the fraction
y + 8 >/= 12
Then subtract 8 from both sides
y >/= 4
Because it is greater than OR equal to, when you graph, you use a solid circle. Greater than means the arrow goes to the right on the line.
So, solid circle on the line on 4, arrow pointing to the right. (Third option from the right)
