M/5=3(2m+1) verbal expression
1 answer:
Answer:
m = -15/29
Step-by-step explanation:
1) Distribute
2) Subtract 6m from both sides of the equation
3) Simplify
a. Find common denominator
b. Combine fractions with common denominator
c. Multiply the numbers
d. Combine like terms
e. Combine like terms
4) Multiply all terms by the same value to eliminate fraction denominators
5) Cancel multiplied terms that are in the denominator
6) Multiply the numbers
7) Divide both sides of the equation by the same term
8) Simplify
a. Cancel terms that are in both the numerator and denominator
b. Divide the numbers
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Answer:
The probability of using one or the other is 36%
Step-by-step explanation:
For solving this problem it is easy if we see it in a ven diagram, for this first we are going to name the initial conditions with some variables:
Probability of passing Professor Jones math class = 64% =0,64
P(J) = 0.64
Probabiliry of passing Professor Smith's physics class = 32% =0.32
P(S) = 0.32
Probability of passing both is = 30% = 0.30
P(JnS) = 0.30 (Is is an intersection so it is in the middle of the ven diagram
We need to know which is the probability of pasing one or the other for this we need to take out the probability of passing both for this we have to add the probability of passing Professor Jones math class with the probabiliry of passing Professor Smith's physics class and substract the probability of passing both for each one:
P(JuS) = (P(J) - P(JnS)) + (P(S) - P(JnS)) = (0.64 - 0.30) + (0.32 - 0.30) = 0.34 + 0.02 = 0.36 = 36%
If you check the ven diagram you can see that if we add all what is in red we will have the probability of passing Professor Jones math class and if we add all what is in blue we wiill have the probability of passing Professor Smith's physics class, and if we add just what is in each corner we will get the same value that is the probabilty of passsing one or the other.
