so after the 10 non soloists join, there would be 60 students total and 12 of them are soloists.
12 is 20% of 60
Final Answer:
20% of the choir are soloists.
Hope this helped!
Have an awesome day :)
This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
Answer:
Lines are parallel.
Step-by-step explanation:
The given lines are 
Rearrange the equation in the slope intercept form that is 
where 
is the slope.
<em>First Line:</em>
compare it with
slope (
) of first line 
<em>Second Line:</em>
divide both by 
compare it with
slope 
of second line
Since slope of two lines are equal
hence these lines are parallel.
Answer:
The standard deviation of the sample mean differences is _5.23_
Step-by-step explanation:
We have a sample of a population A and a sample of a population B.
For the sample of population A, the standard deviation 
is
The sample size 
is:
.
For the sample of population B, the standard deviation 
is
The sample size 
is:
.
Then the standard deviation for the difference of means has the following form:
Finally
Answer:
m = 3
Step-by-step explanation:
