Answer C
When the temperature of water decreases, the hydrogen bonds are formed and release a considerable amount of energy. Water has the highest specific heat capacity of any liquid. Specific heat is defined as the amount of heat one gram of a substance must absorb or lose to change its temperature by one degree Celsius
Answer:
A = 140 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A =
bh ( b is the base and h the perpendicular height )
here b = 20 and h = 14 , then
A =
× 20 × 14 = 10 × 14 = 140 in²
The z score for a confidence level of 99% is 2.575.. You need to know this to complete this type of problem.. the other two commonly used confidence levels are 90% and 95% having z scores of 1.645 and 1.96 respectively. You need to memorize this!
To find the confidence interval, it will be defined as the sample mean plus/minus the margin of error.. Now to find the margin of error, divide the standard deviation of 12 by the square root of the number of elements in your sample(√250). Then take that result and multiply it by the Z score I mentioned above for a 99% confidence level.
In this case: the sample mean is 70 and the margin of error is approximately 1.95
So to calculate the confidence interval, do the following:
70 - 1.95 = 68.05 rounded to the nearest whole number is 68
70 + 1.95 = 71.95 rounded to the nearest whole number is 72
Looks like that would be the last choice. hope this helps.. it's been awhile since my work with statistics :-)
By looking at the graphs we can infer the equation that represents both functions. If we plot the equations in a graphing tool, we can easily find your points.
Please, see the attached image
Linear
f(x) = (-3/2)*x + 3
x = -3 ---------> y = 15/2 = 7.5
x = -2 ---------> y = 6
x = -1 ---------> y = 4.5
x = 0 ---------> y = 3
x = 1 ---------> y = 1.5
x = 2 ---------> y = 0
x = 3 ---------> y = -1.5
Exponential
g(x) = (1/2)^x
x = -3 ---------> y = 8
x = -2 ---------> y = 4
x = -1 ---------> y = 2
x = 0 ---------> y = 1
x = 1 ---------> y = 0.5
x = 2 ---------> y = 0.25
x = 3 ---------> y = 0.125
(1/2)^x = (-3/2)*x + 3
If we solve this equation, we get two values
x = -2.868 and
x = 1.81