Answer:
Step-by-step explanation:
We have to select george but not nina with two other people
No. of ways selecting 2 two people knowing Geroge will be the third one is
(beacuse we have to exclude Nina)
And total no of ways of selecting 3 people out of 8 people is 
Therefore the required Probability is 
=
Answer:
gift 1:
424 cm^2
570 cm^3
gift 2:
1420.5 cm^2
3622.5 cm^3
Step-by-step explanation:
We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.
The formula for the surface area is:
A = 2*ab + 2*ac + 2*bc
Gift 1:
A = 2*6*10 + 2*6*9.5 + 2*10*9.5
A = 424 cm^2
That means that gift 1 needs 424 cm^2 of wrapping paper
Gift 2:
A = 2*14*17.25 + 2*14*15 + 2*17.25*15
A = 1420.5 cm^2
That means that gift 2 needs 1420.5 cm^2 of wrapping paper
Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:
V = a*b*c
Gift 1:
V = 6*10*9.5
V = 570 cm^3
This means that gift 1 needs 570 cm^3 of packaging peanuts
Gift 2:
V = 14*17.25*15
V = 3622.5 cm^3
That means that gift 2 needs 3622.5 cm^3 of packaging peanuts
Answer:
x = ±2, 3 are the critical points of the given inequality.
Step-by-step explanation:
The given inequality is 
To find the critical points we will equate the numerator and denominator of the inequality to zero.
For numerator,
(x - 2)(x + 2) = 0
x = ±2
For denominator,
x² - 5x + 6 = 0
x² - 3x -2x + 6 = 0
x(x - 3) -2(x - 3) = 0
(x - 3)(x - 2) = 0
x = 2, 3
Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.
Answer: for question 1, i think you have to put yes because absolute value is always positive so it´s 6.5 and the opposite of -6.5 is 6.5
Step-by-step explanation:
Answer:
2x + 3y +1
Step-by-step explanation:
-2x + 4x -6y + 9y +3 -2 (arranging)
2x + 3y + 1
