Answer:
x
=
−
500
b
−
50
a
+
R
±
√
250000
b
2
+
2500
a
2
−
100
a
R
+
1000
b
R
+
R
2
+
50000
a
b
2
a
b
Step-by-step explanation:
First let's rewrite it...
18a^2 + 20a + 8
Factor out a 2
2 (9a^2 + 10a + 4)
The solution is where the red line crosses the blue line, which on the X axis is between the 1 and the 2, so about 1.5.
Convert the fractions to decimal and see which one is close to 1.5:
13/8 = 1.625
25/16 = 1.5625
7/4 = 1.75
27/16 = 1.6875
The closest one to 1.5 is 25/16
Find completion to question in comment section.
Answer:
D. One of the jellybeans that slipped out was orange and one was black
Step-by-step explanation:
We calculate the option with the highest probability of occurrence :
Total number of jellybean = 75
n(T) =75
n(Pink) = 8
n(red) = 22
n(Orange) = 17
n(green) = 8
n(white) = 6
n(black) = 4
We assume that the jelly beans must have slipped out one after the other.
Evaluating the options :
A.)
P(pink) and P(white)
8/75 * 6/74 = 0.0086486
B.)
P(green) and P(green)
8/75 * 7/74 = 0.0100900
C.)
P(white) and P(white)
6/75 * 5/74 = 0.0054054
D.)
P(orange) and P(black)
17/75 * 4/74 = 0.0122522
From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black
