Answer:
Theoretical Probability: P(even) = . 1/2
Experimental Probability: P(evn) = 94/200 = 47/100
Step-by-step explanation:
The theoretical probability of getting a even number is 1/2 because it equally likely to get and not to get it. Since half of the numbers are even then the probability of getting an even is 1/2.
The trigonometric ratios are used for right angle triangle.The basic rule to followed is SOH CAH TOA
SOH means Sinx=opposite/Hyp.
CAH means Cosx = adj./Hyp.
TOA means Tanx = Opp./Adj.
Opposite is the side opposite to the acute angle of the right triangle.
<span>Adjacent is the side Adjacent to the acute angle of the right triangle.
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The longest side in a right triangle is the hypotenuse.
Answer:
The doubling time is of 27.65 minutes.
Step-by-step explanation:
Exponential equation of growth:
The exponential equation for population growth is given by:
In which P(0) is the initial value and k is the growth rate.
A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
This means that 
. So
When the culture is checked 60 minutes later, it is determined that there are 450 cells present.
This means that 
, and we use this to find k. So
So
Doubling time:
This is t for which P(t) = 2P(0) = 200. So
The doubling time is of 27.65 minutes.
Answer:
10:
7/4π = 5.5(1decimql place)
11:
50π = 157.1(1 decimal place)
Step-by-step explanation:
the equation is (angle/360) X πr^2
The formula to solve for the volume (V) of a rectangular prism is,
V = L x W x H
where L is the length, W is width, and H the height or depth.
Substituting the known dimensions on the equation above,
V = (4 in) x (9 in) x (2.2 in) = 79.2 in^3
Thus, the volume of the cake pan is 79.2 in^3.
