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yKpoI14uk [10]
3 years ago
13

Sandy's mom is buying fabric for a prom dress. She already has 4 1/4 yards of fabric at home, and she needs a total of 17 3/6 ya

rds of fabric for the dress.
How much more fabric, in yards will sandy's mom need to buy in order to complete the dress?
Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
Sandy will need 13 3/12 more fabric
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The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
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Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
2 years ago
Starla is measuring the floor of a rectangular room to determine how many square feet of a tile to buy to cover the floor
lbvjy [14]

there isnt much here but answer is width=X and length=Y and X times Y

for example, if you had a room that was 3 feet long and 10 feet wide, it would be 30 square feet.

5 0
3 years ago
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