hey there!
Let us take the amount invested as ' x '
Ratio = 11:12
11x + 12x = 448500
23x = 448500
x = 448500 / 23
x = 19500
clinton = 11x
= 11 ( 19500 )
= $214,500
Barbara = 12x
= 12 ( 19500 )
= $234,000
Hope helps!
Let R = greatest number of rectangular lots.
R = (910 • 300)/(120 • 65)
R = 273,000 ÷ 7800
R = 35
So since it is a right angle it will equal 90. Take out 33 since it is a part of that 90. 90-33= 57 then you will have 2x+1=57 subtract 1 over 2x=56 then divide both sides by 2 x=28
Answer:
B= 55°
Step-by-step explanation:
A+B+C= 180°
90°+B+35°=180°
B= 55°
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)