three, twelve, five, and six
Answer:
p = -4
Step-by-step explanation:
-3( 2+4p) + 7 = 49
Subtract 7 from each side
-3( 2+4p) + 7 -7= 49-7
-3( 2+4p) = 42
Divide by -3
-3( 2+4p) /-3 = 42/-3
( 2+4p) = -14
Subtract 2 from each side
2+4p-2 = -14-2
4p = -16
Divide by 4
4p/4 = -16/4
p = -4
Answer:
True.
Step-by-step explanation:
C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).
C(4, 3) = 4! / 3! 1!
= 4*3*2*1 / 3*2*1*1
= 4.
There are 4 ways to select 3 items from 4.
Answer:
Mean- the average of data, meaning you add up all the numbers, and then divide the sum of the numbers by how many numbers there are. For example:
2, 2, 3, 4, 6, 6, 9.
7 numbers total.
2 + 2 + 3 + 4 + 6 + 6 + 9 = 32
32 ÷ 7 = 4.57
The mean would be 4.57.
Median- the middle point of the numbers. You cross off each of the numbers until you have one last number standing. If you have an even number of numbers, you find the middle of the last two numbers you crossed off. For example:
2, 2, 3, 4, 6, 6, 9
2, 3, 4, 6, 6
3, 4, 6
4
4 would be the median.
Mode- the largest number on the data.
Range- subtract the mode (largest number) from the smallest number to get range. For example:
2, 2, 3, 4, 6, 6, 9
9 - 2 = 7
7 would be the range.
Step-by-step explanation:
Answer: The perimeter is 30ft.
Step-by-step explanation:
Let's define:
L = length of the longer side.
S = length of the shorter side.
P = perimeter
we know that for a common rectangle:
P = 2*S + 2*L
We aso know that:
L = 2ft + (1/3)*P
S = (1/10)*P
L = S + 9ft.
So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)
First, we can replace the third equation in the first equation, now we have a system with only two equations:
S + 9ft = 2ft + (1/3)*P
S = P/10
Now we can replace the second equation in the first equation, and get:
P/10 + 9ft = 2ft + P/3
Now let's solve this for P.
9ft - 2 ft = P/3 - P/10
7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)
(30/7)*7ft = P = 30ft.
The perimeter is 30ft.
