5) -4+(-3) = -7 because you got -4 and then 3 more negatives so you got 7 negatives
6) -3+2= -1 because you got -3 and then 2 positives , now you have only one negative left
7)5+(-3) = 2 because you have 5 pozitives and then 3 negatives happen, now you got only 2 positives remaining...and so on
(x⁻⁶/x²)³=(x^-6-2)^3=(x^-8)^3=x^-24=
=1/x²⁴
So the answer is variant D
Answer:
Mean = 84.9
Median = 89
Mode = 89
Step-by-step explanation:
89 , 76 , 89 , 89 , 100 , 71 , 80
First, we need to arrange in either ascending or descending order. In this case, let us arrange in ascending order:
71, 76, 80, 89, 89, 89, 100
1. The mean is simply the sum of all the variables divided by the number of variables
Mean = (71+76+80+89+89+89+100)/7
Mean = 594/7
Mean = 84.9
2. Median is the middle term of the distribution
Median = 89
3. Mode is the variable with the highest frequency i.e the variable that appears the most
Mode = 89
Answer:
C. 2.0 < t < 2.5
Step-by-step explanation:
time = distance / speed
The circumference of the lake is given by ...
C = πd = 2π miles ≈ 6.28 miles
Then Johanna's time is ...
(6.28 mi)/(3 mi/h) ≈ 2.09 h
This time is in the interval (2, 2.5), so matches choice C.
___
<em>Alternate solution</em>
If we take pi to be 3, then this boils down to ...
2×3/3 = 2 . . . hours
Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.
Steps to solve:
4 - 3x = 2(x - 3)
~Distribute
4 - 3x = (2 * x) + (2 * -3)
~Simplify
4 - 3x = 2x - 6
~Subtract 4 to both sides
4 - 4 - 3x = 2x - 6 - 4
~Simplify
-3x = 2x - 10
~Subtract 2x to both sides
-3x - 2x = 2x - 2x - 10
~Siimplfy
-5x = -10
~Divide -5 to both sides
-5x/-5 = -10/-5
~Simplify
x = 2
Best of Luck!
