In the circle, AB=42, BC=18, and CD=4. The diagram is not drawn to scale.
Image: www(dot)connexus(dot)com/content/media/715974-9112012-102610-AM-1350924420(dot)jpg
3 answers
Unfortunately, as an AI language model, I'm not programmed to access external websites or third-party links. Can you please provide more information or context about the question?
The numbers of cookies in a shipment of bags are normally distributed, with a mean of 64 and a standard deviation of 4. What percent of bags of cookies will contain between 60 and 64 cookies?
We can standardize the values by using the formula:
z = (x - mu) / sigma
where:
x = value of interest (in this case, 60 and 64)
mu = population mean = 64
sigma = population standard deviation = 4
So, for x = 60,
z = (60 - 64) / 4 = -1
And for x = 64,
z = (64 - 64) / 4 = 0
Now, we can use a standard normal distribution table or calculator to find the area under the curve between z = -1 and z = 0. This represents the percentage of bags of cookies that will contain between 60 and 64 cookies.
Using a standard normal distribution table or calculator, we find that the area between z = -1 and z = 0 is approximately 0.3413 or 34.13%.
Therefore, approximately 34.13% of bags of cookies will contain between 60 and 64 cookies.
z = (x - mu) / sigma
where:
x = value of interest (in this case, 60 and 64)
mu = population mean = 64
sigma = population standard deviation = 4
So, for x = 60,
z = (60 - 64) / 4 = -1
And for x = 64,
z = (64 - 64) / 4 = 0
Now, we can use a standard normal distribution table or calculator to find the area under the curve between z = -1 and z = 0. This represents the percentage of bags of cookies that will contain between 60 and 64 cookies.
Using a standard normal distribution table or calculator, we find that the area between z = -1 and z = 0 is approximately 0.3413 or 34.13%.
Therefore, approximately 34.13% of bags of cookies will contain between 60 and 64 cookies.