Speed=distance / time ⇒ distance=time x speed
distance=d
time=t
speed= s
d=s*t
Distance traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours= 80 miles
Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt ⇒d=80+40t (1)
d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.
Distance traveled by Miranda.
data:
s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.
d=48 miles/hour * t ⇒d=48t (2)
With the equations (1) and (2), we make an system of equations:
d=80+40t
d=48t
We can solve this system of equation by equalization method.
80+40t=48t
80=48t-40t
80=8t
t=80/8=10
d=48t
d=48*10=480
Answer: the thistance will be 480 miles.
First of all we have to arrange the data in ascending order as shown below:
28, 40, 43, 43, 45, 50, 50
Total number of values = 7
Since the number of values is odd, the median will be the middle value i.e. 4th value which is 43. Median divides the data in two halves:
1st Half = 28, 40, 43
2nd Half = 45, 50, 50
Q1 or the First Quartile is the middle value of the lower or 1st half which is 40.
Q3 or the Third Quartile is the middle value of the upper or second half, which is 50.
IQR or the Inter Quartile Range is the difference of Q3 and Q1.
So, IQR= Q3 – Q1 = 50 – 40 = 10
Thus, IQR for the given data is 10
Answer:
-1.5,-1,0,0.5,1 is the answer
Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.
Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:
20 ............2.5
-------- = ---------
...x ............. 2
where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:
20×2 = 2.5 × x
Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).
We would then have:
20×2
------- = x
2.5
Which then simplifies to:
x = 16
Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)