The solution to your problem about the probability <span>of getting first a red and then a black marble is as follows:
</span><span>(3 red / 8 total) * (2 black / 7 total) = 3/28
</span>
Therefore, the probability of getting first a red and then a black marble is 3/28.
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Answer:
C
Step-by-step explanation:
You just have to add the values
Answer:
the two positive consecutive integers are 4 and 6.
Step-by-step explanation:
Let the smaller integer be s; then s^2 = (s + 2) + 10.
Simplifying, s^2 - s - 2 - 10 = 0, or
s^2 - s - 12 = 0.
Solve this by factoring: (s - 4)(s + 3) = 0.
Then s = 4 and s = -3.
If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.
The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?
4^2 = (4 + 2) + 10 True or False?
16 = 6 + 10 = 16.
True.
So the two positive consecutive integers are 4 and 6.
Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
We will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
<h3>How do you find out the best salary option?</h3>
Given that, Salary per year = $78,000.
Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.
The total number of working hours from Sunday to Saturday is 47.
The payment for 47 hours of work per week will be given below.
Salary per week = 
Salary per week = $1313
We know that there are 52 weeks in one year. So the salary for one year is given below.
Salary per year = 
Salary per year = $68276
We can see that we calculate the yearly salary with per hour rate, the amount will be lower than the salary per year $78000.
Hence we will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
To know more about years and weeks, follow the link given below.
brainly.com/question/1123016.
