Answer:
5/11
Step-by-step explanation:
The greatest common factor of 9, 18 and 21 is 3 so that is the number that we'll factor out
to do this divide all three numbers by 3 to get
3(3a-6b+7c)
I hope I've helped!
Answer:
a) what is the probability that Neither will of these products launch ?
= 0.30
b) At least one product will be launched ?
= 0.70
Step-by-step explanation:
From the above question, we have the following information:
P(A) = 0.45
P(B) = 0.60
P(A ∩ B) = P(A and B) launching = 0.35
Step 1
We find the Probability that A or B will launch
P (A ∪ B) = P(A) + P(B) - P(A ∩ B)
= 0.60 + 0.45 - 0.35
= 1.05 - 0.35
= 0.70
a) what is the probability that Neither will of these products launch ?
1 - Probability ( A or B will launch)
= 1 - 0.70
= 0.30
b)At least one product will be launched?
This is equivalent to the probability that A or B will be launched
P (A ∪ B) = P(A) + P(B) - P(A ∩ B)
= 0.60 + 0.45 - 0.35
= 1.05 - 0.35
= 0.70
To find this, you just need to plug it in and use some algebra to figure it out.
Initial: 2700 = 2200(1 + r)5
multiply 2200 and 5: 2700 = 11000(1 + r)
Divide both sides by 11000: .24 = 1 + r
subtract both sides by 1: -.754 = r
The problem is, a negative interest rate makes no sense if there was actually an increase of 500. We can try distributing the 11000 instead
Where we left off: 2700 = 11000(1 + r)
Distribute the 11000: 2700 = 11000 + 11000r
Subtract 11000 from both sides: -8300 = 11000r
Divide both sides by 11000: -.754 = r
As you can see, both methods reached the same impossible answer. I'm assuming that you didn't type out the equation right. Are you sure it wasn't
2700 = 2200(1 - r)5
? If you subtract the r to make it negative, it might make more sense. But that still leaves us with a .754 rate of interest, which seems too high. Double check where you're typing from
The total arc length around a circle is 360 degrees. So, these 3 arc with expressions given will all add up to 360.
(-2 + 8x) + (10x + 10) + (10x - 12) = 360
28x - 4 = 360
28x = 364
x = 13
Now that we know the value of x, we can plug that value into the expression for arc LM and solve for the measure.
LM = 10x - 12
LM = 10(13) - 12
LM = 118 degrees
Hope this helps! :)
