Answer:
7.701
Step-by-step explanation:
In geometry, the three undefined terms are: the point, the plane and the straight line.
Since all the given graphs represent lines,we will need to choose the straight line among them.
Straight line is a line that has no start and no end.
From the choices:
Figures a and c are rays
figure b is a line segment
figure d is a straight line
Therefore, the correct choice is: D
Answer:
d. (0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 195/250 = 0.78
Number of samples n = 250
Confidence interval = 90%
z value(at 90% confidence) = 1.645
Substituting the values we have;
0.78 +/- 1.645√(0.78(1-0.78)/250)
0.78 +/- 1.645√(0.0006864)
0.78 +/- 1.645(0.026199236630)
0.78 +/- 0.043097744256
0.78 +/- 0.043
(0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Answer:
x = 2/3
DF = 10
scale factor of ΔDEF to ΔXYX is 1:3
Step-by-step explanation:
DF corresponds to XZ and DE corresponds to XY so we can set up a proportion:
6x+6/30 = 8/24
simplify 8/24 to be 1/3
6x+6/30 = 1/3
cross-multiply:
3(6x+6) = 30
18x + 18 = 30
18x = 12
x = 12/18 or 2/3
