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2 years ago

Choose all of the points where the graphs of the line y = x - 3 and the circle (x - 1)2 + y2 = 4 intersect.

Mathematics

1 answer:

mojhsa [17]2 years ago

8 0

Answer: (1, -2) and (3, 0)

Step-by-step explanation: Trust me, I graphed it and these are the point where the lines intersect.

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If a room is 20 by 24 feet, how big is it on a floor plan where 1/2 inch represents 1 foot?

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Step-by-step explanation:

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2 years ago

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2 years ago

Read 2 more answers

Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 97 + 2.19 = 99.19 = 99.2$ cm

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

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3 years ago

You roll a 6 sided dice what is the probability of rolling a number greater than two and then rolling a number less than three

Alexandra [31]

First answer is 4 chances and second answer is 2 chances

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3 years ago