Answer:
3cm/s
Step-by-step explanation:
Area of a square is expressed as:
A = L²
Rate of change of area is expressed as:
dA/dt = dA/dL•dL/dt
Given that
dA/dt = 24cm²/s
L = 4cm
Required
dL/dt
Since dA/dl = 2L
dA/dl = 2(4)
dA/dl = 8cm
Subatitute the given values into the formula
24 = 8 dL/dt
dL/dt = 24/8
dL/dt = 3cm/s
Answer:
D. negative
Step-by-step explanation:
Let's analyze each answer choice.
A. Zero
A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.
B. Undefined
A line with an undefined slope is a vertical line. The x values don't change and the y values vary.
C. Positive
When a line has a positive slope, the line increases from left to right.
D. Negative
When a line has a negative slope, the line decreases from left to right.
When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.
C 12 minutes is the correct answer. Hope this helps :)
Answer:
And we can find this probability using excel or the normal standard tabe and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard tabe and we got: