Answer:
Step-by-step explanation:
x/4.8 < 1.25 Multiply both sides by 4.8
4.8 x / 4.8 < 1.25*4/8
x < 6
What this means is that every every number less than 6 is a solution to this inequality.
Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.
What you want is more closely related to a number line and sort of looks like this
-----o-----o-----o-----o-----o-----o-----o-----o
-1 0 1 2 3 4 5 6
<===============================o
Explanation
The top line is the actual number line or the graph
o------- is the way it is made.
The second line are the number divisions of the number line
The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.
Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
With n tosses, there are a total of 2^n possible outcomes. We need 15 of theses to be heads.
Since the tosses are random, we want to count the ways to have exactly 15 of them being heads. That will be C(n,15) ways to pick which tosses are heads.
The probability will be given by:
C(n,15)/2^n=0.0148
At this point we use various values of n until we get the correct probability.
n=18⇒0.003112793
n=19⇒0.007392883
n=20⇒0.014785767
n=21⇒0.025875092
Answer:
n=20
Answer: 200,000
Explanation: divide 10,000,000 by 50 and it gives you the answer
