Answer:
0.0537
Step-by-step explanation:
This follows a binomial distribution with : n
Number of trials 'N' = 12 ; Probability of success (difference between speakers) 'p' = 1/2 or 0.5 ; Probability of failure (no difference b/w speakers) = 1/2 or 0.5 ; No of success 'r' = 3
P (X = 3) = 
= 12C3 (0.5)^3 (0.5)^9
0.0537
Answer:
1.
- Fractional form,
- Decimal Form
2.
- Fractional form,
- Decimal Form
3.
- Fractional form,
- Decimal Form
4.
5. 
Step-by-step explanation:
1.
Steps:
1. Divide - 
2. Then take the square root of what you got -
= 
2. 
Steps:
1. Divide - 
2. Then take the square root of what you got - 
3. 
Steps:
1. Take the square root of the top number - 6
2. Tage the square root of the bottom number - 7
3. Answer is 6/7.
4.
=
5.
= 
<em><u>Formula:</u></em>
= 
= 
The weight of the new student is 27 kg.
Average weight
= total weight ÷total number of students
<h3>
1) Define variables</h3>
Let the total weight of the 35 students be y kg and the weight of the new student be x kg.
<h3>2) Find the total weight of the 35 students</h3>
<u>
</u>
y= 35(45)
y= 1575 kg
<h3>3) Write an expression for average weight of students after the addition of the new student</h3>
New total number of students
= 35 +1
= 36
Total weight
= total weight of 35 students +weight of new students
= y +x

<h3>4) Substitute the value of y</h3>

<h3>5) Solve for x</h3>
36(44.5)= 1575 +x
1602= x +1575
<em>Subtract 1575 from both sides:</em>
x= 1602 -1575
x= 27
Thus, the weight of the new student is 27 kg.
312* 17.5= 5460.00
134*19=2546
2546+5460= $8,006.00