Answer:
g(x) = ![5x^{2}](https://tex.z-dn.net/?f=5x%5E%7B2%7D)
Step-by-step explanation:
This problem may seem tricky at first, but after you understand the basic concepts about vertical stretches and vertical shrinks, this problem will become much simpler. Additionally, if you use the online tool: DESMOS, you will be able visualize things better.
First, you may notice the graph is more narrow than the original "f(x)" graph. This means that the g(x) graph is a vertical shrink. A vertical shrink can be achieved by adding a whole-number as a coefficient to the "
" formula. Adding a coefficient of "5" would result in coordinates like (1,5), just like adding a coefficient of "2" for example would result in coordinates like (1,2).
Answer:
42
Step-by-step explanation:
x = Ky
18 = K(3)
K = 18/3 = 6
x = 6y
x = 6(7) = 42
It’s 75 have a nice day :))))
Answer:
0.6247
Step-by-step explanation:
In order to find the frequency of people who complete the test between 45 and 65 minutes, we have to find z
Z = (x – mean)/standard deviation
Le x be the time to complete the test
Z1 = (45 – 60)/10 = -1.5
Z2 = (65 – 60)/10 = 0.5
Then we use the z table to find the area under the curve.
Area for Z1 = 0.4332
Area for Z2 = 0.1915
The relative frequency is the area between the two z-scores:
0.4332 +0.1915 = 0.6247
Graphic with shaded area is attached
Since 15/8=1.875, the answer would be #1 because 1.875 is more than 1 but less than 2