Answer: -1.55
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Sample mean : 
The test statistic for the population mean is given by :-


Hence, the value of z statistic = -1.55
Answer:
0.45 part of the banner is painted orange
Step-by-step explanation:
portion of rectangular banner painted green = 0.75
Portion of green painted part which is now painted orange = 0.60
Hence we can say that
0.6 part out of 0.75 part of total banner is painted orange
mathematically it is
0.6 * 0.75 = 0.45
Thus 0.45 part of banner is painted orange .
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.
5, 8, 11, ... is an arithmetic sequence where: