Answer:
The most suitable experimental simulation to find the probability of getting the six toys is by rolling the dice and recording the occurrences.
Step-by-step explanation:
As there are a total of 6 different dinosaurs, the probability of each of them is given as
P(X=one dinosaur)=1/6
In order to design an experiment, as the data is completely random and unknown, thus the experiment is designed such that the probability of individual option is 1/6.
In this regard the most suitable option is rolling a dice, numerous times and recording the occurrences accordingly.
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Remark
The short answer is you multiply 0.6 times the cm/s to get m/min.
Solve
Though you didn't ask for it, here's the way it is done. Notice that each set of brackets cancels the units of a set of brackets to the left of the set of brackets you are observing. This is called unit analysis. The answer is given below.
![\frac{18 cm}{sec} *[\frac{60 cm}{1 min}] * [\frac{1 m}{100 cm}] = 18*0.6\frac{m}{min}=10.8\frac{m}{min}](https://tex.z-dn.net/?f=%20%5Cfrac%7B18%20cm%7D%7Bsec%7D%20%2A%5B%5Cfrac%7B60%20cm%7D%7B1%20min%7D%5D%20%2A%20%5B%5Cfrac%7B1%20m%7D%7B100%20cm%7D%5D%20%3D%2018%2A0.6%5Cfrac%7Bm%7D%7Bmin%7D%3D10.8%5Cfrac%7Bm%7D%7Bmin%7D)
Answer:
Hello it's me,
I've thought about us for a long, long time,
Maybe I think too much but something's wrong,
There's something here that doesn't last too long,
Maybe I shouldn't think of you as mine.
Step-by-step explanation:
Finding the slope using two points:
The formula for slope is
In this case...
(-4, 3) and (5, 3)
^^^Plug these numbers into the formula for slope...
B. 0
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
