Answer:
<h2> The answer is X= -4 </h2>
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Answer:
g(x) = 7(-x)³
Step-by-step explanation:
The cubic parent function is given as; f(x) = x³
Now, we are told that it reflects across the y-axis. This means that the new function will take the form;
g(x) = f(-x)
Thus, the new function is;
g(x) = (-x)³
Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;
g(x) = 7(-x)³
A) For this problem, we will need to use a normal calculation, in that we find the z-score and the area to the right using Table A.
z = (10 - 7.65) / 1.45
z = 1.62
area to the left for a z-score of 1.62 = 0.9474
area to the right for a z-score of 1.62 = 0.0526
The probability that a randomly selected ornament will cost more than $10 is 0.0526 or 5.26%.
B) For this problem, we will use the binomial probability formula since the problem is asking for the probability that exactly 3 ornaments cost over $10. There are two forms of this equation. One is <em>nCr x p^r x q^n-r</em> and the other is <em>(n r) x p^r x (1 - p)^n-r</em>. I will show both formulas below.
8C3 x 0.0526^3 x 0.9474^5
(8 3) x 0.0526^3 x 0.9474^5
With both equations, the answer is the same. Whichever you are more familiar or comfortable with is the one I would recommend you use.
The probability that exactly 3 of the 8 ornaments cost over $10 is 0.00622 or 0.622%.
Hope this helps!! :)
Answer:
b. 50 degrees
Step-by-step explanation:
Always do brackets first
a) -40/10 = -4
b) 36/4 -2 = 7
c) -2 x 7 = -14
