Answer:
a) 
b) According to these data, the Shroud of Turin has around 760 years.
Step-by-step explanation:
The amount of carbon-14 is modeled by the following equation:

In which
is the initial amount and k is the rate of decrease.
(a) Find the value of the constant k in the differential equation.
Half-life of 5595 years.
So 



Applying ln to both sides


b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material. How old is the Shroud of Turin, according to these data?
This is t when 



Applying ln to both sides


According to these data, the Shroud of Turin has around 760 years.
2x+y= -5 is our equation and it passes through (4, -3)
point-slope formula= y-y1= m(x-x1)
fill in your formula, but flip the slope so its perpendicular. so slope is 1/2.
y+3=1/2(x-4) when i filled the formula in, i used 4 as x1 and -3 as y1.
y+3=1/2x-2 multiply x and -4 by 1/2
y=1/2x-5 subtract 3 from both sides.
Final answer: y=1/2x-5
Also, i'm sorry my answer took so long the bell rang and so I had to leave this alone for a minute. Feel free to ask any questions :)
Answer:
A. exactly the same as the population mean.
Step-by-step explanation: This demonstration illustrates Rule 1 of the Central Limit Theorem: The mean of the population and the mean of the sampling distribution of means will always have the same value. Thus, the sampling distribution of the mean will have a normal shape, even though the population distribution does not.
To calculate the mean, add up all the values and divide by the number of values. There are two types of arithmetic mean: population mean and the sample mean.
210$ - 30$ = 180$.
180$ ÷ 15$ = 12. So the answer is 12 weeks.
Answer:
-3, -4, -5, -6, -7, -8
Step-by-step explanation:
Im not sure if that is what you are looking for or if you want x ≤ -3 and x ≥ -8