Answer:
multiply 3x-2(x+8)
Step-by-step explanation:
PEMDAS
also you must simplify both sides to solve this problem and that's the first step to simplifying this side (the other one is simplified)
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
Answer: No, this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.
Step-by-step explanation:
Since we have given that
n = 1400
x = 154
So, ![\hat{p}=\dfrac{154}{1400}=0.11](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B154%7D%7B1400%7D%3D0.11)
and p = 0.10
So, hypothesis would be
![H_0:\hat{p}=p\\\\H_a:\hat{p}>p](https://tex.z-dn.net/?f=H_0%3A%5Chat%7Bp%7D%3Dp%5C%5C%5C%5CH_a%3A%5Chat%7Bp%7D%3Ep)
So, the test statistic value would be
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.11-0.10}{\sqrt{\dfrac{0.1\times 0.9}{1400}}}\\\\z=\dfrac{0.01}{0.008}\\\\z=1.25](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.11-0.10%7D%7B%5Csqrt%7B%5Cdfrac%7B0.1%5Ctimes%200.9%7D%7B1400%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.01%7D%7B0.008%7D%5C%5C%5C%5Cz%3D1.25)
At 5% level of significance,
critical value would be 1.96.
Since 1.96>1.25.
so, we will accept the null hypothesis.
Hence, no, this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.
sinR = ![\frac{QR}{PQ}](https://tex.z-dn.net/?f=%5Cfrac%7BQR%7D%7BPQ%7D)
noting that the sin ratio = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
opposite to ∠P is QR and hypotenuse is PQ ( opposite right angle )