A line passes through (2, −1) and (4, 5). which answer is the equation of the line? −3x y=−7−3x y=−7 −3x y=17−3x y=17 −3x 5y=13−3x 5y=13 −3x 5y=−13

Answers

Answer 1

Answer: Equation of a line through two points is given by y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
y - (-1) = ((5 - (-1))/(4 - 2))(x - 2)
y + 1 = ((5 + 1)/2)(x - 2)
y + 1 = 6/2 (x - 2)
y + 1 = 3(x - 2) = 3x - 6
-3x + y = -6 - 1
-3x + y = -7

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The time , in hours , it takes to repair an electrical breakdown in a certain factory is represent by a random variable x where repair time follow a normal distribution with mean 5 hour and standard deviation 1 hour , if 5 electrical breakdown ore randomly chosen , Find the probability that ( a all repaired time below 6 hours ( b ) exactly 3 of them repaired below 6 hours

Answers

Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

In which $C_(n,x)$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

$Z = (X - \mu)/(\sigma)$

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 p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that $\mu = 5, \sigma = 1$

This proportion is the p-value of Z when X = 6. So

$Z = (X - \mu)/(\sigma)$

$Z = (6 - 5)/(1)$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

0.8413 repaired below 6 hours.

For the binomial distribution, this means that $p = 0.8413$

5 are chosen:

This means that $n = 5$

a) Probability that all are repaired in less than 6 hours

This is P(X = 5). So

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

$P(X = 5) = C_(5,5).(0.8413)^(5).(0.1587)^(0) = 0.4215$

0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) Probability that exactly 3 of them repaired below 6 hours

This is P(X = 3). So

$P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)$

$P(X = 3) = C_(5,3).(0.8413)^(3).(0.1587)^(2) = 0.15$

0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Please help, will give brainliest answer

Answers

I do khan academy 2 but sorry the answer

I need help please

Answers

Answer:

help on what like whats ur question

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

need more letters

Find the value of 83 - [59 - (22 - 18)].
16
28
64

Answers

28 would be the correct answer to that equation

Answer:

Step-by-step explanation:

Using PEMDAS (order of operations) it would end up being 28

Pls help me in these questions

Answers

Answer:

1=85

2=10

3=108

Step-by-step explanation:

Number 1: Calculate each angle...and you know a straight line is 180°. N the interior sum of a quadrilateral is always 360°.

Number2: Use corresponding, alternate and interior angles method. It will help

Number 3: It's just about solving the interior sum of the pentagon

Answer:

2. 10 degrees

3. 108 degrees

Step-by-step explanation:

sorry I reposted it because the previous answer was deleted and plz mark me as a brainliest.

What is the measure of rcd in the figure below

Answers

Theres no picture below

Answer:

Theres no picture below

Step-by-step explanation:

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