What is the equation in point-slope form of a line that passes through the points (7,-8) and (-4,6)? HURRY!!!!!!

Mathematics

1 answer:

erastova [34]3 years ago

5 0

Answer:

y - 7 = $\frac{14}{-11}$ (x + 8)

Step-by-step explanation:

Use the slope formula $\frac{y2 - y1}{x2-x1}$ to work out the slope

Then pick one point to insert into the formula y - y1 = m(x - x1)

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A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan

svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.