Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
Answer:
Zero real roots:
f(x) = x^2-x+1
f(x) = x^2+2x+3
One real root:
Two real roots:
f(x)=x^2+2x+1
f(x)=x^2-3x+2
Step-by-step explanation:
These were determined by using the quadratic formula.
Answer:
Option c is right.
Step-by-step explanation:
Given is a parabola y =x^2
From that transformation is done to get parabola as
y =(0.2x)^2
We find that instead of x here we use 0.2x
i.e. New x = 5 times old x
Hence there is a horizontal expansion of scale factor 5.
We can check with any point also
When y =4, x=2 in the parent graph
But when y =4 , we have x = 10 in the new graph
i.e. there is a horizontal expansion of scale factor 5.
Answer:
$2467.50
Step-by-step explanation:
987 = ( 1 - 0.6 )x
987 = 0.4x
x = 2467.5