Given (5,-12) is a point on the following line, convert the equation to point-slope form.
6x+ 2y = 6
a. y - 12 = -6(x - 5)
b. y + 12 = -6( – 5)
c. y + 12 = -3(x – 5)
d. y - 12 = -3(x - 5)

Step-by-step explanation:

The point-slope form is

To express a line in the point-slope form, we actually its slope and a point that the line crosses. According to the problem, the point is .

The slope we can find it from the expression that gives us the problem

We are gonna express this equation in an explicit form, which is gonna give us the slope. Remember that in explicit form, the slope is the coefficient of the x-variable.

As you can observe, the slope is -3.

Now, using all this information, we can find the point-slope expression

If we compare, we deduct that the correct answer is C., because is the same expression that we have.

C

Step-by-step explanation:

Slope = - 3

y - (-12) = -3(x - 5)

y + 12 = -3(x-5)

A gestation length of 279 days represents the 18th percentile.

Step-by-step explanation:

Normal Probability Distribution:

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

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

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.

In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days.

This means that

What length of gestation, rounded to the nearest whole number, represents the 18th percentile?

This is X when Z has a pvalue of 0.18. So X when Z = -0.915.

A gestation length of 279 days represents the 18th percentile.