6×ax+6×by =6ax+6by =3a+2b,6×bx-6×ay=3b-2a=6bx-3a+2b
There are C(30, 6) = 30!/(6!*(30-6)!) = 593,775 ways to pick 6 numbers from the first 30 positive integers.
The probabilty of matching 6 randomly chosen integers is 1/593,775.
Answer:
85
Step-by-step explanation:
A z-score of 1.25 means that the actual exam score is 1.25 standard deviations above the mean, and therefore the exam score we are looking for is: mean + 1.25 * SD = 75 + 1.25 * 8 = 85
Answer:
AB = CD
Step-by-step explanation:
According to the question, data provided is as follows
AB parallel to CD
AC and BD both are perpendicular to AB and CD
Based on the above information, the relationship between AC and BD is
As we know that
Since AC and BD both are perpendicular to AB and CD and these two are parallel. That means they have the same direction as they are parallel
Moreover, in the case of parallel lines, the perpendicular distance between these two lines would remain the same
Therefore
AB = CD
Answer:
Step-by-step explanation:
Notice that with the provided information they are given you not ust the slope of the line (-2), but also the y-intercept (the point where the line crosses the y-axis which happens when x=0).
So you can directly write the equation of the line in slope-intercept form [
where "m" is the slope and "b" the y-value when x=0].
Such gives us:
