I believe it’s 12% because if you divide 300 by 2500 you will get 0.12 which decimals can be put as percentages.
32 x4 = 128 ft
128 x 12 = 1536
Final Answer: 1,536 inches
Hope this helps!! :)
Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
The angles in a isosceles triangle add up to 180 degrees.
so 180 degrees take away 36 degrees = 144 degrees.
base angles in a isoceles triangle are equal so 144 divided by 2 = 72 degrees.
so to find out y you do 360 - 72 = 288 degrees
therefore y = 288degrees
Answer:
(4, - 6 )
Step-by-step explanation:
7x - y = 34 ( multiply through by - 1 )
- 7x + y = - 34 ( add 7x to both sides )
y = 7x - 34 → (1)
2x + 3y = - 10 → (2)
substitute y = 7x - 34 into (2)
2x + 3(7x - 34) = - 10
2x + 21x - 102 = - 10
23x - 102 = - 10 ( add 102 to both sides )
23x = 62 ( divide both sides by 23 )
x = 4
substitute x = 4 into (1)
y = 7(4) - 34 = 28 - 34 = - 6
solution is (4, - 6 )