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2 years ago

Find the equation of the line that passes through the points (6,1) and (3,4)

1 answer:

8 0

(6,1) , (3,4)
slope = (4 - 1) / (3 - 6) = -3/3 = -1

y = mx + b
slope(m) = -1
use either of ur points....(6,1)...x = 6 and y = 1
now sub and find b, the y int
1 = -1(6) + b
1 = -6 + b
1 + 6 = b
7 = b

so ur equation is : y = -x + 7

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Find the following using a calculator. Round to four decimal places. (2 points)

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The value of log(0.47) after rounding to 4 decimal place is -0.3279

Option D

Given :

Find the value of log(0.47) using calculator

To find the log value we use the calculator

here we are asked to find out log (0.47) that is the log (decimal)

we cannot find the log value without calculator because we have decimal argument inside log.

Use scientific calculator

Press log first then enter the number 0.47 inside a parenthesis

Press enter , it will show you the log(0.47)

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Learn more : brainly.com/question/10101390

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2 years ago

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 12

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However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .