Answer:
(d) The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
We assume you intend ...
f(x) = equation of a parabola
g(x) = 2/3·f(x)
Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.
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The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.
The attachment shows parabolas that open upward and downward, along with the transformed version.
Hi,
First we should calculate within the parentheses to get 343^3
then we calculate the exponent to get 40,353,607.
But the simplified version is 343^3
Have a great day!
Answer:
Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .
Step-by-step explanation:
We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.
The distribution we can use here is;
~ N(0,1)
where, p = 0.20 and n = 100
Let 
= proportion of red candies in our sample
So, P( < 0.20) = P( < 
) = P(Z < 0) = 0.5
Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .
Answer:
20 5/6 ft
Step-by-step explanation:
5 3/5 = 28/5
1 4/5 = 9/5
V = l * w * h
210 = l * 28/5 * 9/5
210 = l * 252/25
multiply both sides by 25/252
5250/25 = l
Reduce
20 5/6 = l
20 5/6 ft
