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)
Answer:
Here
Step-by-step explanation:
Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.
Answer:
DE = 55
Step-by-step explanation:
As you can see from the red marks showing that the lengths of each triangle are the same, it must also be true that E is equal to 55.
Answer:
So, the length (L) = 7 3/4 ft = 31/4 (as an improper fraction)
the width (W) = (1/3)xL
So the width = 1/3 x (31/4) =
31/12 = 2 7/12 feet
Step-by-step explanation:
its up there

Let the women's height be AE and distance between the women and tower be AC.
Also let the height of tower be BC.
Now, clearly it is forming a triangle.
So, in triangle ABC,








Hence, BC = 59.5m
So, BD(total height of the tower)


Therefore, total height of the tower =
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Hope it helps you:)