Answer:
<em>See the Venn diagram attached</em>
<u>Numbers given:</u>
- <em>Total</em>: 100
- Either a cat of a fish: 70
- Cat: 46
- Cat and fish: 16
<u>Neither a cat or a fish:</u> 100 - 70 = 30
<u>Fish:</u> 70 - (46 + 16) = 70 - 62 = 8
<u>Required probabilities are:</u>
- a) P(neither) = 30/100 = 0.3
- b) P(f) = (16 + 8)/100 = 0.24
- c) P(f not c) = 8/100 = 0.08
Answer:
The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)
Step-by-step explanation:
The cosine function equation is given as follows h = d + a·cos(b(x - c))
Where:
= Amplitude
2·π/b = The period
c = The phase shift
d = The vertical shift
h = Height of the function
x = The time duration of motion of the wave, t
The given data are;
The amplitude
= 2 feet
Time for the wave to pass the dock
The number of times the wave passes a point in each cycle = 2 times
Therefore;
The time for each complete cycle = 2 × 30 seconds = 60 seconds
The time for each complete cycle = Period = 2·π/b = 60
b = π/30 =
Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have
h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)
The cosine function is h = 2·cos((π/30)·t).
Hey there,
The equation for the volume of a cylinder is V = πr²h.
The first step into finding the radius is to plug in what you already know into the equation:
We divide both sides by 5:
Now we divide both sides by π:
Finally we just do the square root of 49.0197224723:
The radius therefore would be about 7cm.
Hope I helped,
Amna
Answer:
The expression provided by the area (square meters) is given by:
.
Step-by-step explanation:
The area of the algae colony is a function of the radius r (meters), so
.
The radius of the circle formed by the algae colony is a function of time t (in minutes), so
. So,
[Substituting the expression for radius]

Then the expression provided by the area (square meters) is given by:
.
I think if you take 360 and divide it by 55 thats how many busses they used. Then take that answer and divide it by 13 to find how many vans were used.