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yan [13]
3 years ago
6

I need help finding the slope?

Mathematics
2 answers:
jeyben [28]3 years ago
8 0

Answer: 1

Step-by-step explanation: because the slop are the line down are the slope

vlada-n [284]3 years ago
3 0

Answer:

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

slope of a line

Different words, same formula

Teachers use different words for the y-coordinates and the the x-coordinates.

Some call the y-coordinates the rise and the x-coordinates the run.

Others prefer to use Δ notation and call the y-coordinates Δy , and the x-coordinates the Δx .

slope of a line

These words all mean the same thing, which is that the y values are on the top of the formula (numerator) and the x values are on the bottom of the formula (denominator)!

slope of a line

Example One

The slope of a line going through the point (1, 2) and the point (4, 3) is 13.

Remember: difference in the y values goes in the numerator of formula, and the difference in the x values goes in denominator of the formula.

Graph of the slope of a line

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The following observations were made on fracture toughness of a base plate of 18% nickel maraging steel (in ksi √in, given in in
Grace [21]

Answer:

A 90% confidence interval for the standard deviation of the fracture toughness distribution is [4.06, 6.82].

Step-by-step explanation:

We are given the following observations that were made on fracture toughness of a base plate of 18% nickel maraging steel below;

68.6, 71.9, 72.6, 73.1, 73.3, 73.5, 75.5, 75.7, 75.8, 76.1, 76.2,  76.2, 77.0, 77.9, 78.1, 79.6, 79.8, 79.9, 80.1, 82.2, 83.7, 93.4.

Firstly, the pivotal quantity for finding the confidence interval for the standard deviation is given by;

                             P.Q.  =  \frac{(n-1) \times s^{2} }{\sigma^{2} }  ~ \chi^{2} __n_-_1

where, s = sample standard deviation = \sqrt{\frac{\sum (X - \bar X^{2}) }{n-1} } = 5.063

            \sigma = population standard deviation

            n = sample of observations = 22

Here for constructing a 90% confidence interval we have used One-sample chi-square test statistics.

<u>So, 90% confidence interval for the population standard deviation, </u>\sigma<u> is ;</u>

P(11.59 < \chi^{2}__2_1 < 32.67) = 0.90  {As the critical value of chi at 21 degrees  

                                                  of freedom are 11.59 & 32.67}  

P(11.59 < \frac{(n-1) \times s^{2} }{\sigma^{2} } < 32.67) = 0.90

P( \frac{ 11.59}{(n-1) \times s^{2}} < \frac{1}{\sigma^{2} } < \frac{ 32.67}{(n-1) \times s^{2}} ) = 0.90

P( \frac{(n-1) \times s^{2} }{32.67 } < \sigma^{2} < \frac{(n-1) \times s^{2} }{11.59 } ) = 0.90

<u>90% confidence interval for</u> \sigma^{2} = [ \frac{(n-1) \times s^{2} }{32.67 } , \frac{(n-1) \times s^{2} }{11.59 } ]

                                     = [ \frac{21 \times 5.063^{2}  }{32.67 } , \frac{21 \times 5.063^{2}  }{11.59 } ]

                                     = [16.48 , 46.45]

<u>90% confidence interval for</u> \sigma = [\sqrt{16.48} , \sqrt{46.45} ]

                                                 = [4.06 , 6.82]

Therefore, a 90% confidence interval for the standard deviation of the fracture toughness distribution is [4.06, 6.82].

5 0
3 years ago
Find the equation of the line that fits the description (-7, -9) and has zero slope
nata0808 [166]
So it cuts the y axis at -9 as it has a gradient of 0.

Therefore y=-9 is the equation, as y=mx+c, it intercepts at -9 and has a gradient of 0, therefore y=0x-9 so y=-9.
3 0
3 years ago
A rectangular prism has length of 5 inches a width of 3 and. A height of 2 inches
brilliants [131]

Answer:

30 inches

Step-by-step explanation:

A = L * W * H

A = 5 * 3 * 2

A = 15 * 2

A = 30

5 0
3 years ago
Convert 210° to raidians
Over [174]

Answer:

3.66519

Step-by-step explanation:

Converting between degrees and radians is pretty easy. To convert radians to degrees, multiply by 180° and divide by ∏. To convert degrees to radians, divide by 180° and multiply by ∏.

3 0
3 years ago
(64/8/ 4 + 7 – 2) • 5 =
maria [59]

Answer:

35

Step-by-step explanation:

Let me know if I got it right

3 0
3 years ago
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