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igor_vitrenko [27]
3 years ago
12

In the dig ram below line l is parallel to line m. Which angles are congruent to angle 1

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer:

3, 8, 6

Step-by-step explanation:

<u>The angles that are congruent to angle 1 are:  3, 8, 6</u>

<u />

Answer:  Congruent angles are 3, 8, 6

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Hese are the values in Paul’s data set.
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The residuals are the differences between the predicted values and the actual values. You will need to make a scatter plot of each difference.

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List all possible dimensions of rectangle with an area of 24 square feet
max2010maxim [7]
L=1 w=24

L=24 w=1

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6 0
3 years ago
A tire manufacturer wants to estimate the average number of miles that may be driven in a tire of a certain type before the tire
alexandr402 [8]

Answer:

97% confidence interval for the average number of miles that may be driven is [26.78 miles, 33.72 miles].

Step-by-step explanation:

We are given that a random sample of tires is chosen and are driven until they wear out and the number of thousands of miles is recorded;

32, 33, 28, 37, 29, 30, 22, 35, 23, 28, 30, 36.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                                P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average number of miles = \frac{\sum X}{n} = 30.25

            s  = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} } = 4.71

            n = sample of tires = 12

            \mu = population average number of miles

<em>Here for constructing a 97% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.</em>

<u>So, 97% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.55 < t_1_1 < 2.55) = 0.97  {As the critical value of t at 11 degrees of

                                              freedom are -2.55 & 2.55 with P = 1.5%}  

P(-2.55 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.55) = 0.97

P( -2.55 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.55 \times {\frac{s}{\sqrt{n} } } ) = 0.97

P( \bar X-2.55 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.55 \times {\frac{s}{\sqrt{n} } } ) = 0.97

<u>97% confidence interval for</u> \mu = [ \bar X-2.55 \times {\frac{s}{\sqrt{n} } } , \bar X+2.55 \times {\frac{s}{\sqrt{n} } } ]

                                        = [ 30.25-2.55 \times {\frac{4.71}{\sqrt{12} } } , 30.25+2.55 \times {\frac{4.71}{\sqrt{12} } } ]

                                        = [26.78 miles, 33.72 miles]

Therefore, 97% confidence interval for the average number of miles that may be driven is [26.78 miles, 33.72 miles].

7 0
4 years ago
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