Answer:
<em>0</em> is the probability that a randomly selected student plays both a stringed and a brass instrument.
Step-by-step explanation:
Given that:
Number of students who play stringed instruments, N(A) = 15
Number of students who play brass instruments, N(B) = 20
Number of students who play neither, N(
)' = 5
<u>To find:</u>
The probability that a randomly selected students plays both = ?
<u>Solution:</u>
Total Number of students = N(A)+N(B)+N(
)' =15 + 20 + 5 = 40
(As there is no student common in both the instruments we can simply add the three values to find the total number of students)
As per the venn diagram, no student plays both the instruments i.e.

Formula for probability of an event E can be observed as:


So, <em>0</em> is the probability that a randomly selected student plays both a stringed and a brass instrument.
The number closest to 65 is 8.
(61 square is 8)
Acceleration is to change in speed divided by the time for the change. Change in speed is end speed minus started speed.
3m/s-1m/s and equals to 2m/s.
The answer should be A. (2m/s^2.)
Hope it helped you!
Have a great day!
Answer:
Step-by-step explanation:
<u>Given</u>
- DE = 3x + 2, EF = x + 5, DF = 23
<u>As per segment addition postulate</u>
<u>Substituting values:</u>
- 3x + 2 + x + 5 = 23
- 4x + 7 = 23
- 4x = 16
- x = 4
If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;





Where x is the length of the string in feet.