Doris uses 6 square pieces of fabric to make one scarf. Each side of a square piece of fabric is one third yard in length. Doris
can buy large pieces of fabric that are one-third yard long and 2 yards wide. How many large pieces of fabric should she buy to make 5 scarves? Show your work.
2 answers:
Answer:
Only 5 will be required
Step-by-step explanation:
Take a look at the image attached to see the necessary explanations
Answer:
5 large pieces of fabric.
Step-by-step explanation:
Length of each side of a square piece of fabric = yard
Area of a Square = Length X Length
Area of one square piece of fabric = X
=
square yard.
To make one scarf, Doris uses 6 square pieces.
Area of one scarf = square yard
Each large pieces of fabric is one-third yard long and 2 yards wide.
This is clearly a rectangle,
Area of a Rectangle = Length X Width
Area of each large piece of fabric= square yard.
Since the Area of one scarf is equal to the area of each large piece of fabric, in order to make 5 scarves, Doris would need 5 large pieces of fabric.
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The value of mean, standard deviation and interval from the method of tree ring dating is 1273 AD, 37 years, [1250,1296].
According to the statement
we have to find that the standard deviation, mean and the intervals from the given data.
So, According to the given data from the method of tree ring dating
The value of mean is
x-bar = (1271 + 1208 + 1229 + 1299 + 1268 + 1316 + 1275 + 1317 + 1275) / 9 = x-bar = 1273 AD
And now we find standard deviation :
s = √∑(xi - x-bar) / (N - 1)
∑(xi - x-bar)^2 = (1271 - 1273)2 + (1208 - 1273)2 + (1229 - 1273)2 + ... + (1275 - 1273)2
∑(xi - x-bar)^2 = (-2)2 + (-65)2 + (-44)2 + ... + (2)2
∑(xi - x-bar)^2 = 4 + 4225 + 1936 + 676 + 25 + 1849 + 4 1936 + 4
∑(xi - x-bar)^2 = 10,659
Now,
s^2 = 10659/8 = 1332
s = 37 years
So, standard deviation is 37 years.
We need the t-distribution table since the standard deviation is unknown. Therefore, our degrees of freedom is 9 - 1 = 8 and the critical value is 1.860. Set up the confidence interval for the mean:
[x-bar ± t*(s/√n)] = [1273 ± 1.860*(37/√9)]
[x-bar ± t*(s/√n)] = [1250,1296]
So, The value of mean, standard deviation and interval from the method of tree ring dating is 1273 AD, 37 years, [1250,1296].
Learn more about method of tree ring dating here
Disclaimer: This question was incomplete. Please find the full content below.
Question:
The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
For more data please see the image below.
#SPJ4
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule
We need to rearrange the rule to solve for x, our missing angle
solving for our unknown angle:
Therefore angle YXZ is 70.52 degrees
