Answer:
-21
Step-by-step explanation:
GIven data
We are given the equation of a line as
Y=-2x-21
let us compare this with the general equation of a line
y=mx+c
from the comparison, we can see that the intercept is -21
Therefore, the intercept is -21
Explanation:
a)
b) First, we have that
On the other hand,
Therefore, both expressions are equal. This makes sense, because selecting k elements from a group of n is the same than specify which elements you will not select. In order to specify those elements you need to select the n-k elements that will not be selected. Hence, each time you are selecting k from n, you are also selecting n-k from n, and from that reason both combinatorial numbers are equal.
So each digits can only be selected once.
Let's start counting desired outcome.
Hundred position need to be at least 8. There is only one possible digits. So we will go with 8 and then there are 7 remaining digits.
One position can only be 2,4,6. because we need number to be even. So that's 3 possible digits. We will take one. 6 digits remaining.
Ten position can be anything so that would be 6 possible digits.
So the number of desired outcomes is 3·6 = 18.
Now count all outcomes.
Hundred, ten, and one position can get any digits
So that's 8·7·6 = 336
So the probability would be 18 / 336 = 3 / 56 ≈ 0.0536
Hope this helps.
When we round a number the new rounded <span>number is </span>simpler but the value is kept close to what it was. The common method for rounding numbers is the following: we d<span><span>ecide which is the last digit to keep and l</span><span>eave this digit the same the same if the next digit is less than 5 or increase it by 1 if the next digit is bigger than 5.
</span></span>Because the next digit matter, it is not possible for a 5 digit number to be rounded to 6 digit number.
Answer:
y=1/3x-3 2/3 (y equals one third times x minus three and two thirds)
Explanation:
Slope = rise (Δy) over run (Δx). Looking at the two points, (-1, -4) is furthest to the left. The x value increases by 3, and the y value increases by 1. That means slope = 1/3. Now, plug it into the slope equation y=mx+b, m being slope. We get y=1/3x+b. To find b (the y-intercept), plug in one of the points into the equation. So -4=1/3·(-1) +b. 1/3 times -1 is -1/3. Now we have -4=-1/3+b. -4-1/3= -11/3 (or negative 3 and 2/3). That means the y intercept is -3 2/3. Now we get the equation. y=1/3x-3 2/3
