The range is the difference betweem the largest and smallest NUMBERS in the whole piece of data. The IQR is the difference between the largest and smallest QUARTILES. For example, if you had the data 1,2,3,4,5: 5-1=4 would be the range and...(4-2)=2 would be the IQR. Hope this helped! :)
Step-by-step explanation:
-5+4=-1
-3+4=1
0+4=4
4+4=8
Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force
applied to an object with mass
is directly proportional to its acceleration
:
(1)
If we isolate
:
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):

(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of
, its mass
will be:
(6)
(7)
Finding
:
This is the mass of the object
Answer:
The answer is 5/6.
Step-by-step explanation:
Lets start with a=1.
a+1=2, which is the denominator. (1/2)
Taking the same number as numerator, now, consider a=2.
a+1=3, denominator.(2/3)
Now, let a=3.
a+1==4, denominator for a=3. (3/4)
If continued a becomes equal to 4.
a+1=5, which is also the denominator. (4/5)
Now, since the denominator is 5, let a=5.
a+1=6, which will become the denominator. (5/6)
Thus the series follows a pattern of a/a+1.
Let y = total charge for a car rental and x = miles driven
Proxy car equation: y = 0.32x + 18
YourPal equation: y = 0.36x + 12
Set equations right sides equal to each other... meaning their cost, y, are equal
0.32x + 18 = 0.36x + 12
18 = 0.04x + 12 (subtract 0.32x from both sides of the equation)
6 = 0.04x (subtract 12 from both sides of the equation)
150 = x (divide both sides of the equation by 0.04)
ANSWER: 150 miles