9514 1404 393
Answer:
(d) 36 feet
Step-by-step explanation:
Use your sense of geometry.
The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.
That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.
The measure is about 36 feet.
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If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...
d^2 = 20^2 +30^2 = 1300
d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet
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* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.
Answer:
A
Step-by-step explanation:
272/64 = 4.25
4.25*48 = 204
Answer:
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error of the interval is given by:
In this problem, we have that:
99.5% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?
This is n when M = 0.07. So
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
= cos( -x ) * [ - sin( - x ) ] = cosx * sinx ;
cosx * sin x is the right answer !
Answer:
> -5 4/5 is greater than
Step-by-step explanation:
First you must make them have the same denominator. So you think, which numbers do 5 and 16 have in common. 5, 10, 15 , 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...... 16, 32, 48, 64, 80. We see that they have the number 80 in common so we multiply 4/5 by 16 which equals 64/80 then we multiply 3/16 by 5 which equals 15/80 we now see the new equation which is: -5 64/80 ___ -5 15/80. we see that -5 64/80 is greater
