The slope equals zero and it passes through the point (1, -4). Find the equation of the line.

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

y = -4

Step-by-step explanation:

Whenever your rate of change [slope] is 0, it is a horizontal line, therefore you have the above answer.

wel3 years ago

4 0

Answer:

y = -4

Step-by-step explanation:

A line with slope zero is a horizontal line. All points on a horizontal line have the same y-coordinate.

The equation of a horizontal line is

y = k,

where k is the y-coordinate of every point on the line.

Since we are told this line passes through the point (1, -4), and the y-coordinate of (1, -4) is -4, then every point on the line has y-coordinate -4.

The equation is

y = -4

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1. (Sec. 6.1) In a random sample of 80 components of a certain type, 12 are found to be defective. (a) Give a point estimate for

denis-greek [22]

Answer:

(a) 0.85

(b) 0.7225

Step-by-step explanation:

(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:

$p=\frac{80-12}{80}\\p=0.85$

The proportion is 0.85.

(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:

$P(x=2) = 0.85^2\\P(x=2) = 0.7225$