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m_a_m_a [10]
2 years ago
14

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.​

Mathematics
1 answer:
Wittaler [7]2 years ago
5 0

Step-by-step explanation:

\frac{y - y0}{x - x0}  \\  \frac{ - 6 - 3}{ 4 + 2}  \\   -   \frac{9}{6}  =  -  \frac{3}{2}  = 1.5

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Vinvika [58]

Answer:

The point estimate for population mean is 8.129 Mpa.

Step-by-step explanation:

We are given the following in the question:

Data on flexural strength(MPa) for concrete beams of a certain type:

11.8, 7.7, 6.5, 6.8, 9.7, 6.8, 7.3, 7.9, 9.7, 8.7, 8.1, 8.5, 6.3, 7.0, 7.3, 7.4, 5.3, 9.0, 8.1, 11.3, 6.3, 7.2, 7.7, 7.8, 11.6, 10.7, 7.0

a) Point estimate of the mean value of strength for the conceptual population of all beams manufactured

We use the sample mean, \bar{x} as the point estimate for population mean.

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

\bar{x} = \dfrac{\sum x_i}{n} = \dfrac{219.5}{27} = 8.129

Thus, the point estimate for population mean is 8.129 Mpa.

4 0
3 years ago
Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation? Complete the steps to write th
rosijanka [135]
Direct variation is of the form y=kx.  We are given the point (8, -4) so we can solve for k, the constant of variation...

-4=8k, divide both sides by 8

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k=-0.5, so our equation is:

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Step-by-step explanation:

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the area is 21

Step-by-step explanation:

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