Given 3a/(a+1)^2
To make the denominator a cube, you would have to multiply by 1 or (a+1)/(a+1)
yielding 3a(a+1)/(a+1)^3
(3a^2 + 3a) is the equivalent numerator
option D recording the reaction time of participants in a study who were asked to press a button age as soon as they see a certain picture on a screen ASAP please
The two whole numbers are 5 and 6 ⇒ 3rd answer
Step-by-step explanation:
To prove that a square root number lies between which two consecutive integers do that
- Find a square number less than the number under the root
- Find a square number greater than the number under the root
- Find the square root of the square numbers, they will be the two integers that the root lies between them
∵ The number is
- Find a square number less than 29
∵ 25 is a square number
∵ 25 is less than 29
- Find a square number greater than 29
∵ 36 is a square number
∵ 36 is greater than 29
∴ 25 < 29 < 36
- Take √ for each number
∴
<
<
∵
= 5
∵
= 6
∴ 5 <
< 6
The two whole numbers are 5 and 6
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Answer:

Step-by-step explanation:
For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.
We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The confidence interval for a proportion is given by this formula
For the 98% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And the margin of error would be:
