Sachiko is framing the border of a square picture. If she knows the area of the picture, how could Sachiko determine the amount
2 answers:
Answer:
B.
Step-by-step explanation:
Let's let x represent the side length of the square.
Since the picture is a square, all the lengths are the same. Moreover, the area of the square is x times x or x squared. Thus:
The amount of framing Sachiko needs is represented by the perimeter of the square. The perimeter of a square is determined by the formula:
Now, if Sachiko knows the area and she wants to find the perimeter, she can do the following:
First, the area is equal to x^2. So, she should first just find the length itself. So her first step should be to set the area equal to x^2 and then solve for x.
Then, when she has found her length, she just need to multiply it by 4 to get the perimeter or the amount of framing she needs.
Thus, the answer is choice B.
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Answer:
144
Step-by-step explanation:
The best way to attempt this question is to solve it using a Venn diagram
From the given information, Let;
D = documentaries
I = interview shows
G = game show reruns
From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.
i.e
= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)
= 300 - 234
= 66
∴
No of those interested in exactly one kind of show = 66 + 60 + 18
= 144
∴
Answer:
So the answer for this case would be n=159 rounded up to the nearest integer
Step-by-step explanation:
Assuming this complete question: A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.15 .
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
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".
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
Since the Confidence is 0.95 or 95%, the value of The margin of error is given by this formula:
(a)
And on this case we have that ME =0.35 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got , replacing into formula (b) we got:
So the answer for this case would be n=159 rounded up to the nearest integer