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2 years ago

A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?

Mathematics

1 answer:

Veronika [31]2 years ago

8 0

Answer:

y = - $\frac{1}{2}$ x + 3

Step-by-step explanation:

y = mx + b

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ b = 3

(4, 1), (6, 0)

m = $\frac{0-1}{6-4}$ = - $\frac{1}{2}$

y = -  $\frac{1}{2}$  x + 3

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3 years ago

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Arlecino [84]

Answer:

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Step-by-step explanation:

We have been given system of equations:

2x+5y=10 (1)

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3 years ago

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malfutka [58]

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3 years ago

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b

storchak [24]

Answer:

A task time of 177.125s qualify individuals for such training.

Step-by-step explanation:

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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so $\mu = 145, \sigma = 25$ .