Hello!
f(g(x)) = 4 - <u>2</u><u> </u><u>×</u><u> </u><u>(</u><u>3</u><u>x</u><u>²</u><u>)</u> <=>
<=> f(g(x)) = 4 - 6x²
Answer: B. f(g(x)) = 4 - 6x²
Good luck! :)
The question is asking for the lower bound of the 95% two tailed Confidence interval of the normally distributed population.
95% C.I. is given by 200 + or - 1.96(25) = 200 + or - 49 = (151, 249)
Therefore, the minimum weight of the middle 95% of players is 151 pounds.
Answer:
78%
Step-by-step explanation:
Given the stem and leaf plot above, to find the median percentage for boys in the German test, first, write out the data set given in the stem and leaf diagram as follows:
40, 46, 46, 47, 69, 70, [78, 78,] 79, 82, 87, 90, 90, 95
The median value is the middle value in the data set. In this case, we have an even number of data set which are 14 in number.
The median for this data set would be the average of the 7th and 8th value = (78+78) ÷ 2 = 156/2 = 78
Median for boys = 78%
Answer:
The absolute value graph below does not flip.
Step-by-step explanation:
New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.
The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.
"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and <u>flip across the x-axis if "a" is negative</u>.
"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and <u>flip across the y-axis if "k" is negative</u>.
"d" shows horizontal shifts left (positive number) or right (negative number).
"c" shows vertical shifts up (positive) or down (negative).
The function f(x)=2|x-9|+3 has these transformations from the parent graph:
a = 2; Vertical stretch by a factor of 2
k = 1; No change
d = 9; Horizontal shift right 9 units
c = 3; Vertical shift up 3 units
Since neither "a" nor "k" was negative, there were no flips, <u>also known as reflections</u>.
