Answer:
The mode of the following number of countries randomly selected travelers visited in the past two years is 13.
Step-by-step explanation:
The mode of a data-set is the value that appears the most commonly, the most frequently.
In this data-set:
13 appears 3 times
7 and 4 twice
The others once
So 13 is the mode.
8.5 minutes per mile is equivalent to
17 minutes
----------------
2 miles
and the reciprocal of that is
2 miles
-----------
17 min
Now multiply 26.2 miles by
17 min (17 min)* (26.2 mi)
------------ , obtaining ---------------------------
2 miles 2 mi
This simplifies to (17)(26.2)/2 minutes = 222.7 minutes,
or
222.7 minutes 1 hr
-------------------- * ------------ = 3.7 hours
1 60 min
Step-by-step explanation:
Hope it will help you...
Answer:
A. The positive y-intercept.
D. The y-intercept is negative.
Step-by-step explanation:
The proportional relationship is defined by the graph passing through the origin i.e. the y-intercept is equal to zero.
The equation of y proportional to x relationship is y = kx, which again denotes that the graph passes through the origin (0,0).
Now, the statements that can describe the graph of a non-proportional relationship are
A. The positive y-intercept.
D. The y-intercept is negative. (Answer)
Answer:
See explanation
Step-by-step explanation:
Solution:-
- We will use the basic formulas for calculating the volumes of two solid bodies.
- The volume of a cylinder ( V_l ) is represented by:

- Similarly, the volume of cone ( V_c ) is represented by:

Where,
r : The radius of cylinder / radius of circular base of the cone
h : The height of the cylinder / cone
- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.
- We will represent a proportionality of Volume ( V ) with respect to ( r ):

Where,
C: The constant of proportionality
- Hence the proportional relation is expressed as:
V∝ r^2
- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).
- Hence, the relations for each of the two bodies becomes:

&
