Answer:
y≤3
Step-by-step explanation:
5y+4≤22−y
<em>Step 1: Simplify both sides of the inequality.</em>
5y+4≤−y+22
<em>Step 2: Add y to both sides.</em>
5y+4+y≤−y+22+y
6y+4≤22
<em>Step 3: Subtract 4 from both sides.</em>
6y+4−4≤22−4
6y≤18
<em>Step 4: Divide both sides by 6.</em>
6y/6≤18/6
y≤3
Answer:
A. $0.5
Step-by-step explanation:
In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar
The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.
So the correct answer would be gotten from $1/2rolls
= $0.50
Answer:
m = 1 and b = 5/7
Step-by-step explanation:
Take two of the points. The first two. (7, 5) and (8, 6).
We can find the slope using:
y2-y1/x2-x1
We can sub in the values:
6-5/8-7 = 1/1 = 1
So the slope is 1
now, putting this into y=mx+b, and using one of the coordinates from earlier, we can solve for b:
5 = (1)(7) + b
b = 5/7
Therefore, m = 1 and b = 5/7
Hope this helps!
A) reflection over y-axis
b) dilation with scale factor 2 (non-rigid transformation)
c) reflection over x-axis
d) stretching across y-axis, non-rigid transformation
Answer:
Step-by-step explanation:
Given that a fair coin is flipped twelve times.
It means the number of possible sequences of heads and tails would be:
2¹² = 4096
We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula
Plug in n = 12 and r = 9
∵ 
∵ 
Thus, the probability will be:
Thus, the probability of the coin landing tails up exactly nine times will be:
