-8≥-5x+2>-38
-10≥-5x>-40
2≤x<8 (when divided by a negative number, the sign changes from ≥ or > to ≤ or <)
so x is between 2 (include 2, a solid dot) and 8 (doesn't include 8, a hollow bubble)
the third choice is correct.
Multiply both sides by x, so x=a+b
P ⇒ Parenthesis
E ⇒ Exponents
M ⇒ Multiplication
D ⇒ Division
A ⇒ Addition
S ⇒Subtraction
Here is how I was taught to remember all the letters. (Please Excuse My Dear Aunt Sally)
Answer:
A
Step-by-step explanation:
Mechanical energy (ME) is Kinetic energy + potential energy
Where
Kinetic Energy (KE) = 1/2 * m * v^2
where m is the mass (in kg) and v is the speed of the object (in m/s)
and
Potential Energy (PE) = m*g*h
Where m is the mass (in kg) and g is the gravitational constant (9.81 m/s) and h is the height (in meters)
Hence
ME = KE + PE (note the pendulum DOES NOT have any speed, so v = 0, and thus KE = 0)
So,
Hence, Mechanical Energy is 9.8 Joules (rounded to 1 decimal place). Correct answer is A.
Hello!
The five-number summary is the lowest number, highest number, median, quartile 1 and quartile 3
First you should order the numbers from least to greatest.
65, 78, 80, 90, 92, 92, 98, 101,106, 112, 116, 119
The lowest number is 65
The highest number is 119
Next you can find the median
The median is the number in the middle
The two numbers in the middle are 92 and 98
Since there are two numbers you take the average
92 + 98 = 190
190/2 = 95
The median is 95
Now we know the answer is either A or B
Next you can find the lower quartile
The lower quartile is the median of the numbers under the median
So we list all the numbers under 95
65, 78, 80, 90, 92, 92
The numbers in the middle are 80 and 90
The average between these two is 85
So the lower quartile is 85
From this we know the answer is B
The answer is B
Hope this helps!
