Mary<span> is 2x = 2*12 = </span>24 years old<span>.</span>
Answer:
14,146 years
Step-by-step explanation:
The annual multiplier is (1 -0.0049%) = 0.999951. We want to find the number of times this needs to be multiplied to make the product 1/2.
0.5 = 0.999951^t
log(0.5) = t·log(0.999951)
log(0.5)/log(0.999951) = t ≈ 14,145.514
The half-life is about 14,146 years.
Answer:
The answer is a dilation with a scale factor less than 1 and then a reflection.
Step-by-step explanation:
Answer:
area of the circle = 3.14 square units
Step-by-step explanation:
Circumference of the circle formula is 
where r is the radius of the circle
given circumference = 6.28
= 6.28
Value of pi is 3.14
2*3.14 * r= 6.28
6.28 r = 6.28
divide by 6.28 on both sides
r = 1
radius = 1
Area of the circle = 
= 3.14 *1*1 = 3.14
Answer:
There is a linear correlation between chest size and weight,0.8482
Step-by-step explanation:
Given that for a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears.
the value of the linear correlation coefficient is r = 0.921.
i.e. there is a strong positive correlation from the value of r.

(Two tailed test at 5% level for correlation coefficient)
Test statistic t = 
p value <0.00001
Since p is less than 0.05 we reject H0
a) There is a linear correlation between chest size andweight
b)-- R^2 = 0.8482 proportion of the variation in weight can be explainedby the linear relationship between weight and chest size