42% ................................
Answer:
The answer is B.) The diameter of the fir tree when planted and 20 inches
Step-by-step explanation:
The y-intercept is the initial diameter of the fir tree (10 inches). At the end of 50 years, the tree's diameter is 30 inches. Therefore, 30 − 10 = 20 inches of growth occurred over the 50 year period. The diameter of the fir tree when planted. The fir tree's diameter was 10 inches when it was planted.
Answer:
Carbon-14 loses around 10% ( 0.1 in decimal form) of its mass, after one millennium.
Then if we start with a mass A of Carbon-14, after one millennium we will have a mass equal to:
A - A*0.1 = A*(0.9)
After another millennium, we will have a mass equal to:
A*(0.9) - A*(0.9)*0.1 = A*(0.9)^2
And so on, this is an exponential decay.
We already can see the pattern here, after x millenniums, the mass of carbon-14 will be:
M(x) = A*(0.9)^x
Now, in this problem we have 600 grams of carbon-14, then the equation for the mass will be:
y = M(x) = 600g*(0.9)^x
And the graph of this equation is shown below.
Answer: 0.6827
Step-by-step explanation:
Given : The resistance of a strain gauge is normally distributed .
Population mean : 
Standard deviation : 
Let x be the random variable that represents the resistance of a strain gauge is normally distributed .
z-score : 
To meet the specification, the resistance must be within the range 100±0.7 ohms i.e. (99.3,100.7).
For x = 100.7

For x = 99.3

By using the standard normal distribution table, The proportion of gauges is acceptable is given by:-

Hence, the proportion of gauges is acceptable=0.6827