Answer: m<3 is 36 degrees.
Step-by-step explanation:
7x=3x+9+3x
7x=6x+9
-6x -6x
x=9
m<3=3(9)+9
m<3=27+9
m<3=36
Answer:
P(B)=0.30
Step-by-step explanation:
Out of 1000 Voters, 30% favor Jones.
Event S=Favors Jones on First Trial
Event B=S occurs on Second Trial
P(S)=0.30
P(S')=1-0.30=0.70
Event B could occur in two ways
- The first two trials are a success
- The first trial is a failure and the second trial is a success.
Therefore,
P(B)=P(SS)+P(S'S)
=(0.3X0.3)+(0.7X0.3)
=0.09+0.21
=0.3
Therefore, the probability of event B(that event S occurs on the second trial), P(B)=0.30.
Answer:
x = -2
Step-by-step explanation:
So we are given the equation -3(3x + 3) = -2x + 5 and we are solving for x. We will have to try to get the equation into the form x = _. That would be our answer.
-3(3x + 3) = -2x + 5
Distribute the -3 on the left side.
-9x - 9 = -2x + 5
Add 2x to both sides to get rid of the -2x on the right side.
-9x - 9 + 2x = 5
Simplify.
-7x - 9 = 5
Add 9 to both sides to get rid of the - 9 on the left side.
-7x = 5 + 9
Simplify.
-7x = 14
Divide both sides by -7 to get rid of the coefficient of -7 on the left side.
x = 14 ÷ (-7)
Simplify.
x = -2
The answer is x = -2.
I hope you find my answer helpful. :)
Answer:
Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.
We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
If you want to learn more, you can read:
brainly.com/question/1349408
