For the expression to be factor-able the Discriminant , has to be greater or equal to zero
ax^2 + cx + b = 0
c^2 - 4 ab >= 0
(-3)^2 - 4 * 1 * b >= 0
9 - 4b >= 0
9 >= 4b
b <= 9/4 (2.25)
Pick any value in that range for ex:
0 , 2, -3, -6
I would say its 3/4 because there was only one blue and all together there is 4 now and the probability of picking a purple should be 3 out of 4.
Answer:
95% Confidence interval: (0.8449,0.9951)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
Number of times the dog is right, x = 46
95% Confidence interval:
Putting the values, we get:
(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.
La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°
Divide 5.6 by 8 which is 0.7. Since the image of the ant is 8 times bigger we need to divide by 8 to make it actual size.
The ant's actual length is 0.7 cm.
