To find the area of a rectangle, you times the length and width together.
So in this case,
5/8 x 2/3 = 10/24.
This can be simplified to 5/12
Answer:
FOIL
Step-by-step explanation:
First
Outside
Inside
Last
If you dont fully understand look at the attachment
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:

Answer:

where
Step-by-step explanation:
Given
2,4,6,8...
Required
Which function determines the sequence
Represent the terms with n where n is 1,2,3....
Analyzing each term:




Notice that each term is an addition of the previous term and 2
In other words:
However, the function is only effective for values of n greater than or equal to 2
So:
Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
The values of the parameters are given as follows:
n = 20, p = 0.05.
The probability that 3 or fewer experienced insomnia as a side effect is given by:

Hence:





Then:

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.
Since this probability is greater than 95%, this is a highly likely event.
More can be learned about the binomial distribution at brainly.com/question/24863377
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