Answer:
a 0
b) 0.9
c) 0.85
d) 0.25
e) 0.1
f) 0.0375
Step-by-step explanation:
a)
As A and B are two disjoints events, then P(A and B) is
P(A and B)=0
b)
As A and B are two disjoints events, then P(A or B) is
P(A or B)=P(A)+P(B)
P(A or B)=0.15+0.75=0.9
c)
P(not A)=1-P(A)
P(not A)=1-0.15=0.85
d)
P(not B)=1-P(B)
P(not B)=1-0.75=0.25
e)
P(not (A or B))=1-P(A or B)
P(not (A or B))=1-0.9=0.1
f)
P(A and (not B))=P(A)*P(not B)
P(A and (not B))=0.15*0.25=0.0375
Answer:
(3,-4)
Step-by-step explanation:
There is a graphing calculator called desmos that can help you answer questions like this, but, if you don't want to use that, you can just make a graph and imagine the transformation. Remember, when you reflect something over an axis, it is like you are folding the graph along the axis and your new point will be on the other side.
Answer:
The value of k that makes the relationship shown in the table below proportional is 
Step-by-step explanation:
The relation is proportional if 
Putting values of x and y to find k.
For x =2 and y =1 k is: 
For x =4 and y =2 k is: 
For x =6 and y = 3 k is: 
For x = 8 and y = 4 k is: 
For x =10 and y = 5 k is: 
So, The value of k that makes the relationship shown in the table below proportional is
Answer: <em>w = 125</em>
Explanation: Since <em>w</em> is being divided by 5, to solve for <em>w</em>,
multiply both sides of the equation by 5.
On the left side, the 5's will cancel
and on the right side, 25(5) is 125.
So <em>w = 125</em>.
<u />
<u>Please do not do this problem in your head.</u>
Show the work that it takes to get <em>w</em> by itself.
The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
<h3>How to determine the equation of the model?</h3>
The partially completed model is given as:
| n
| n²
5 | 5n | 40
By dividing the rows and columns, the complete model is:
| n | 8
n | n² | 8n
5 | 5n | 40
Add the cells, and multiply the leading row and columns
n² + 8n + 5n + 40 = (n + 8)(n + 5)
This gives
n² + 13n + 40 = (n + 8)(n + 5)
Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)
Read more about polynomials at:
brainly.com/question/4142886
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